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SUSE:SLE-15-SP2:Update
mozilla-nss.15194
nss-fips-stricter-dh.patch
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File nss-fips-stricter-dh.patch of Package mozilla-nss.15194
# HG changeset patch # User Robert Relyea <rrelyea@redhat.com> # Date 1595872802 25200 # Node ID 0be91fa2217a979feb33f0032957b929dd8831ca # Parent e6c6f1d2d544918ebc85bfb587c88ad304423948 Bug 1648822 Add stricter validation of DH keys when in FIPS mode. Update: FIPS now also requires us to do y^q mod p testing on key generation (always). We now do that in FIPS mode only, but in all modes we do full DH verification for DH and ECDH. Because of this, the path has now separated out the prime checks, which are now only done for the DH operation if we aren't using a known prime and the subprime value has been provided. I've also learned we can accept keys that we do full validation on in FIPS mode, so I've added that to this patch, though we still can't generate those kinds of keys without adding the subprime at keygen time. The new FIPS standard is dh operations must use approved primes. Approved primes are those selected in the tls and ike RFCs. Currently tls and ike have modes with checks whether the primes are approved, but the check may not always happen. The safest thing to do in FIPS mode is only allow those primes. In addition, FIPS requires 1< y < p-1 (or technically 2<=y<=p-2, since y is an integer those two tests are identical). While making changes I realized we would want a mode where we can do more strict checks on the prime while not requiring that the prime be an approved prime. We already allow for strict checking if q is supplied with the private key, but there were a couple of issues with that check: 1. there was no way of actually setting q in the current NSS pk11wrap interfaces. 2. If the prime was a safe prime, but g was an actual generator, then we would fail the y^q mod p = 1 tests for 50% of the keys, even though those keys are safe. 3. We weren't checking primality of p and q. So the old code: if (q) { check y^q mod p = 1 if not fail } check 1 <y < p-1 (done in DH_Derive). New code: if (! p is approved prime) { if (FIPS) fail; if (q) { y_test = y if (p,q-> p is a safe prime) { y_test = 1 } check prime is prime Fail if not check subprime is subprime fail if not y_test^q mod p = 1 } } check 1 < y < p-1 (done in DH_Derive) This means: Existing code non-fips without setting the subprime continues to run as before. Non-fips code which sets the subprime now runs slower, but p and q are checked if p or q where not prime, the derive fails (which it should). In FIPS mode only approved primes will succeed now. Non-fips code can now set the subprime to q=(p-1)/2 if it doesn't have an explicit q value (like in tls). If the derive succeeds, we know that p is a safe prime. If p is approved, the checks are skipped because we already know that p is a safe prime. Code can optionally do a test derive on a new p and remember it's safe so that we know longer need to check ever call (though if q is not (p-1)/2, you will need to continue to do the checks each call because y could still be a small subgroup). This patch: gtests/softoken_gtest 1. Added New dh tests to softoken_gtests. The tests were added to softoken_gtests because we need to test both non-FIPS and FIPS mode. Test vectors include a category, so the same test vectors can be used in FIPS and non-FIPS even though each class may have different results. Most of the test vectors where created either by dhparams command in openssl, dsaparams in openssl, and the nss makepqg command. Each vector includes a label, prime, base, optional subprime, optional public key, test type, and key class (basically size). 2. If public key is not supplied, we use a generated public key. 3. If subPrime is supplied to wet it on the private key after generation. lib/freebl/dh.c add primality tests to KEA_VerifyKey(). lib/softokn/ 1. Allow CKA_SUBPRIME to be set after key generation or import. This affects how we test for it's existance, since it is now always there on the key, we check it's length to make sure it's non-zero. 2. We implement the psuedocode above as real code. 3. We create two new functions: sftl_VerifyDH_Prime which return SECSuccess if Prime is an approved prime. sftk_IsSafePrime which returns SECSuess of both prime and subprime look reasonable, and sets a Bool to PR_TRUE is subprime -> prime is safe (subprime = (prime-1)/2. These functions are implemented in sftkdhverify.c 4.Cleanup incorrect nominclature on primes (safe primes are not strong primes). Rebased and revised for Suse by <hpj@suse.com>. diff --git a/nss/gtests/softoken_gtest/softoken_dh_vectors.h b/nss/gtests/softoken_gtest/softoken_dh_vectors.h new file mode 100644 index 0000000..b371068 --- /dev/null +++ b/nss/gtests/softoken_gtest/softoken_dh_vectors.h @@ -0,0 +1,3409 @@ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + +/* If you want the full range of tests, compile with + * -DNSS_SOFTOKEN_DH_INCLUDE_SLOW. These tests could take minuts on a fast + * PC and longer on a slow mac */ + +namespace nss_test { +/* first list the primes we want to test */ + +/* known primes */ +/* IKE 1536 prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } */ +static const unsigned char prime_ike_1536[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 2048 prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 } */ +static const unsigned char prime_ike_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 2048 prime is: 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1 */ +static const unsigned char prime_tls_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 3072 prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */ +static const unsigned char prime_ike_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 3072 prime is: 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1 */ +static const unsigned char prime_tls_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 4096 prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */ +static const unsigned char prime_ike_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 4096 prime is: 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1 */ +static const unsigned char prime_tls_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 6144 prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */ +static const unsigned char prime_ike_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 6144 prime is: 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1 */ +static const unsigned char prime_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 8192 prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */ +static const unsigned char prime_ike_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4, + 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0, + 0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00, + 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93, + 0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68, + 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB, + 0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9, + 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8, + 0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B, + 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F, + 0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A, + 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8, + 0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36, + 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5, + 0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1, + 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3, + 0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92, + 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E, + 0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47, + 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2, + 0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71, + 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 8192 prime is: 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1 */ +static const unsigned char prime_tls_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, + 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE, + 0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, + 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42, + 0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, + 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39, + 0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, + 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0, + 0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, + 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31, + 0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, + 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16, + 0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, + 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75, + 0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, + 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE, + 0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, + 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8, + 0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, + 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06, + 0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, + 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* safe primes that aren't already known. These primes should pass, but + * take more processing in FIPS mode */ +static const unsigned char prime_safe_1536[] = { + 0xf7, 0x67, 0x31, 0xc8, 0x45, 0x6a, 0xd9, 0xea, 0x53, 0x0b, 0x21, 0xc7, + 0x4a, 0xfa, 0x81, 0x66, 0x76, 0x5c, 0xea, 0xb7, 0xf5, 0x11, 0x32, 0x6d, + 0xd3, 0x4c, 0x7a, 0xac, 0x39, 0x17, 0x1a, 0x87, 0xb8, 0x00, 0xd7, 0x11, + 0xc5, 0xfd, 0xe1, 0xe3, 0x65, 0x4c, 0x1f, 0x42, 0x24, 0x41, 0x1e, 0x92, + 0x42, 0xbf, 0xb6, 0x65, 0x0e, 0x72, 0x83, 0x8a, 0xb8, 0x82, 0xa6, 0x4f, + 0x9e, 0xca, 0x4f, 0xd1, 0xb1, 0x13, 0xc2, 0xfa, 0x67, 0xa1, 0x6a, 0x06, + 0x4f, 0xaf, 0x6e, 0x16, 0xd9, 0x94, 0xd8, 0xda, 0xe3, 0x66, 0x62, 0x01, + 0x1f, 0x82, 0x8f, 0x10, 0xe0, 0x2f, 0x3c, 0xa3, 0x42, 0xa8, 0xbb, 0x94, + 0x32, 0x79, 0x79, 0x7f, 0x97, 0xf8, 0x3a, 0x31, 0xaa, 0x14, 0xc7, 0xfe, + 0x13, 0x96, 0x77, 0x15, 0xbf, 0x47, 0x20, 0x57, 0x11, 0xe0, 0x4f, 0xda, + 0x7e, 0xa9, 0x19, 0x49, 0xa1, 0x8d, 0x29, 0x76, 0x8a, 0xd3, 0x9b, 0xb0, + 0xbe, 0x50, 0xc3, 0x25, 0x82, 0xf9, 0xe3, 0x21, 0x8c, 0xfd, 0xa6, 0x51, + 0xe5, 0x36, 0x7e, 0x82, 0xb6, 0x90, 0x45, 0xe1, 0xd5, 0x72, 0x56, 0xbe, + 0xc5, 0x67, 0x3d, 0x13, 0x1a, 0x39, 0x7f, 0x98, 0x33, 0xfc, 0xb4, 0x7b, + 0xa4, 0x38, 0x71, 0x87, 0x96, 0x6e, 0xe6, 0x7b, 0x77, 0xb2, 0x65, 0xfd, + 0xdf, 0x27, 0x93, 0x0c, 0x3c, 0x60, 0xdf, 0xe5, 0x33, 0xfe, 0xd7, 0x4b}; + +static const unsigned char prime_safe_2048[] = { + 0xe1, 0xa3, 0x6e, 0x49, 0x69, 0x07, 0x1c, 0x5f, 0xb4, 0x15, 0x35, 0x46, + 0x99, 0x52, 0xd0, 0x4e, 0xff, 0x4e, 0x4c, 0xb1, 0xe1, 0x59, 0xed, 0x2e, + 0x71, 0xf3, 0x80, 0x14, 0x54, 0xd0, 0xfc, 0x83, 0x20, 0x29, 0x15, 0x21, + 0xa6, 0x5f, 0x10, 0x81, 0x57, 0xf4, 0x2e, 0x49, 0xb2, 0xd1, 0x37, 0xe8, + 0x6a, 0xbf, 0x72, 0xf9, 0x55, 0x4e, 0x9e, 0xae, 0x20, 0xc5, 0xb6, 0xc5, + 0x91, 0x79, 0x0d, 0xa2, 0xdd, 0xb4, 0xbb, 0x50, 0x4e, 0x20, 0xca, 0x8a, + 0x8f, 0x82, 0x34, 0xb9, 0x6a, 0x3e, 0x9a, 0x67, 0xc2, 0x7e, 0x83, 0xf6, + 0xc0, 0xad, 0xe3, 0xca, 0x00, 0xd6, 0x11, 0x88, 0x9c, 0xc7, 0x9f, 0xb4, + 0x3d, 0x53, 0xa5, 0x5a, 0x97, 0x44, 0x4d, 0xe7, 0x5c, 0xd5, 0x76, 0x80, + 0xf8, 0x0c, 0xcd, 0xa6, 0x55, 0xe2, 0x5f, 0xcf, 0xf4, 0x46, 0xa4, 0xc7, + 0x0f, 0xc1, 0x80, 0x84, 0x65, 0x46, 0x8c, 0x87, 0xd2, 0x99, 0x82, 0xdf, + 0x8e, 0x00, 0x89, 0xf3, 0x0d, 0xd5, 0xc0, 0x54, 0x94, 0xc6, 0xa3, 0x92, + 0x0f, 0x91, 0x10, 0xee, 0xa3, 0x65, 0x44, 0xb7, 0x6d, 0xe8, 0x23, 0xf9, + 0x7f, 0x91, 0x62, 0x65, 0x09, 0x8e, 0xa1, 0x33, 0xd4, 0xd6, 0x55, 0x0a, + 0xc0, 0xe8, 0x66, 0x70, 0x05, 0xd0, 0x12, 0x34, 0xc1, 0xfd, 0xce, 0x75, + 0xa4, 0x75, 0xe1, 0x46, 0xa1, 0x08, 0xb4, 0x52, 0xfe, 0x25, 0xa4, 0xc5, + 0x4f, 0x23, 0x04, 0x7e, 0xa1, 0x2c, 0xf3, 0x56, 0xcb, 0xfa, 0x7a, 0xbc, + 0x45, 0xcc, 0x78, 0xb3, 0x28, 0xf3, 0xe5, 0xd5, 0x26, 0x56, 0x27, 0x86, + 0x6a, 0x56, 0x6b, 0x87, 0x56, 0x0e, 0xc4, 0x3c, 0xed, 0xff, 0xcb, 0x96, + 0xb4, 0x13, 0x1d, 0x4d, 0x38, 0x4e, 0x69, 0x34, 0x51, 0x7a, 0x85, 0x31, + 0xb4, 0x80, 0xda, 0x41, 0xe3, 0xdc, 0x2e, 0x53, 0xd8, 0x71, 0x3e, 0xcc, + 0x37, 0x8a, 0x80, 0x33}; + +static const unsigned char prime_safe_3072[] = { + 0x87, 0x66, 0xdf, 0xf7, 0xec, 0x49, 0x6a, 0x9a, 0x7c, 0x96, 0x28, 0xae, + 0x67, 0x38, 0xab, 0xfa, 0xfe, 0x5c, 0x46, 0x7b, 0xef, 0xe9, 0x18, 0xa6, + 0x76, 0xb2, 0xe5, 0x0e, 0xbe, 0xb8, 0xf2, 0x80, 0x36, 0x09, 0x82, 0x44, + 0x7b, 0xe8, 0xe8, 0xcc, 0x89, 0x27, 0x68, 0x05, 0xe0, 0xe1, 0x37, 0xd7, + 0xbf, 0xdb, 0x0c, 0xf6, 0x48, 0x52, 0x17, 0x3f, 0x75, 0xc5, 0x4e, 0xb4, + 0x3d, 0xf8, 0x4c, 0xea, 0xb4, 0x0b, 0x06, 0x04, 0x15, 0x89, 0x7c, 0xba, + 0xf3, 0xf5, 0xde, 0x66, 0x6e, 0x7d, 0x30, 0xc4, 0x20, 0x05, 0xda, 0x32, + 0x0f, 0xff, 0x79, 0x71, 0x44, 0x9b, 0x10, 0x0f, 0xf1, 0xbb, 0x31, 0xde, + 0x67, 0x90, 0xea, 0x77, 0xad, 0x65, 0xd7, 0x05, 0x75, 0xab, 0x66, 0xf2, + 0xe6, 0x52, 0xac, 0xf2, 0xaa, 0xa7, 0xd2, 0x45, 0xd9, 0xc6, 0x42, 0x39, + 0x27, 0x1f, 0x46, 0x84, 0xad, 0x78, 0xb4, 0xfa, 0x84, 0xf8, 0x9b, 0x3e, + 0xcb, 0xc1, 0x99, 0xe5, 0x35, 0x42, 0x26, 0x05, 0xea, 0xac, 0x51, 0x04, + 0x4f, 0x8a, 0x98, 0x25, 0xa7, 0x46, 0xab, 0x7b, 0xed, 0xb8, 0xa9, 0x0b, + 0x24, 0x23, 0x83, 0x23, 0x16, 0x87, 0x64, 0x91, 0x0c, 0xbf, 0x1f, 0xbc, + 0xec, 0x4a, 0xdd, 0x12, 0x2b, 0x0c, 0xa9, 0x39, 0x96, 0xc4, 0xc3, 0xcf, + 0xa5, 0x38, 0x40, 0x0d, 0x6e, 0xd0, 0xfa, 0x0a, 0x0c, 0x3e, 0xe9, 0x75, + 0x0b, 0x70, 0x28, 0x68, 0xbc, 0xfd, 0xf6, 0xc2, 0x9a, 0x59, 0x91, 0x20, + 0x5c, 0x70, 0xfe, 0x31, 0xa6, 0x50, 0x87, 0x9a, 0x6a, 0x61, 0x20, 0x2c, + 0x77, 0x84, 0x81, 0xa8, 0x3e, 0xc9, 0xa8, 0x72, 0xb0, 0x53, 0x43, 0x85, + 0x1c, 0x9b, 0x3a, 0xdd, 0xef, 0x09, 0x7d, 0xc7, 0x68, 0xc6, 0xef, 0x08, + 0xce, 0x47, 0xa0, 0xdc, 0x5b, 0xdb, 0x2f, 0x2d, 0x34, 0xe3, 0xde, 0x95, + 0xf6, 0x6b, 0x6d, 0x5d, 0x91, 0xbe, 0x45, 0xee, 0x2d, 0x04, 0x93, 0x78, + 0xc7, 0xa4, 0x49, 0xcc, 0x71, 0xa8, 0x5d, 0xd8, 0x8a, 0x7e, 0x9e, 0x4f, + 0x10, 0xc9, 0x41, 0xd1, 0x62, 0xc1, 0x70, 0x48, 0xb5, 0x12, 0x11, 0x23, + 0xa6, 0xe4, 0xdf, 0x64, 0xac, 0xd9, 0xe4, 0x37, 0xc2, 0xb9, 0x23, 0xa7, + 0x40, 0xea, 0x7f, 0x54, 0xe3, 0xef, 0x71, 0x81, 0xb4, 0xe7, 0x05, 0x10, + 0xd6, 0x2b, 0xd5, 0x11, 0x84, 0x5a, 0x69, 0xa5, 0xac, 0x52, 0x6d, 0xa8, + 0x79, 0x27, 0xff, 0x1c, 0x02, 0xd1, 0x62, 0x36, 0x03, 0xa2, 0xa9, 0x46, + 0x6c, 0x4f, 0xca, 0x58, 0xf2, 0xb2, 0xed, 0x91, 0xb4, 0x9e, 0x5b, 0xdd, + 0xf9, 0x99, 0xb6, 0x8d, 0x70, 0x34, 0x0a, 0xc5, 0x4d, 0xd7, 0xce, 0x8b, + 0xf1, 0x50, 0x25, 0x89, 0xff, 0xe7, 0xf2, 0x1e, 0xb9, 0x21, 0xb3, 0x8b, + 0xc8, 0x42, 0x7c, 0x26, 0xef, 0x4c, 0x30, 0x8d, 0x60, 0xb7, 0x25, 0xfb}; + +static const unsigned char prime_safe_4096[] = { + 0x8b, 0xdf, 0xc1, 0xa3, 0xe4, 0xbd, 0x1c, 0xb1, 0xf4, 0xb1, 0x51, 0xd3, + 0x8a, 0xce, 0x3d, 0x33, 0x58, 0x80, 0xa3, 0x1c, 0x7c, 0x0d, 0xbd, 0x8e, + 0xbd, 0xb3, 0xe7, 0x9e, 0xd4, 0xde, 0x06, 0xfc, 0x98, 0xaf, 0x01, 0x43, + 0x93, 0x2c, 0xfc, 0xfb, 0x92, 0x80, 0xe0, 0x6e, 0xf9, 0xf6, 0xab, 0x73, + 0x96, 0x8d, 0x7e, 0xc0, 0xeb, 0x26, 0x6c, 0x0c, 0x53, 0x06, 0x9f, 0x32, + 0x4b, 0xad, 0x53, 0xd5, 0xbf, 0x91, 0x35, 0x16, 0xfd, 0x7f, 0xba, 0x30, + 0xb6, 0xb4, 0x88, 0x10, 0x1f, 0x5a, 0xc0, 0x62, 0xf9, 0x7f, 0x71, 0x9b, + 0xb5, 0x10, 0x4b, 0x99, 0xd0, 0xf0, 0xe9, 0xc2, 0xee, 0x35, 0x24, 0xeb, + 0xcc, 0xee, 0x06, 0xbf, 0xa0, 0x05, 0xe4, 0x61, 0xa4, 0xa6, 0x98, 0x23, + 0xd0, 0xe4, 0x8a, 0x61, 0xca, 0x05, 0x8a, 0x6c, 0x98, 0xfa, 0x83, 0xc3, + 0x50, 0x7d, 0x55, 0x3b, 0x2e, 0xd5, 0xac, 0x14, 0x61, 0x86, 0xd1, 0xb5, + 0xcf, 0xc0, 0xdc, 0x69, 0x4b, 0x6c, 0x4a, 0xc5, 0xd7, 0xfe, 0xe0, 0xe8, + 0x1a, 0x64, 0x11, 0xdb, 0x56, 0xf0, 0x1c, 0x95, 0x5c, 0xd1, 0x6a, 0xb9, + 0xf6, 0xe2, 0x00, 0xf4, 0x22, 0x03, 0x03, 0x2a, 0xbc, 0x9c, 0x82, 0xeb, + 0x89, 0x1a, 0xdd, 0x94, 0x65, 0x02, 0x44, 0x61, 0x76, 0xc1, 0xae, 0xd8, + 0xca, 0xfd, 0x66, 0xf4, 0x96, 0xe7, 0x79, 0xfe, 0x3a, 0x98, 0xf1, 0x80, + 0x02, 0xfa, 0x42, 0xb7, 0xae, 0xeb, 0x39, 0x28, 0xc3, 0xb9, 0xce, 0x8c, + 0x71, 0xea, 0x14, 0x74, 0x86, 0x6c, 0x26, 0xd5, 0x15, 0x21, 0x97, 0x0c, + 0x82, 0x8d, 0x81, 0x84, 0xc5, 0x47, 0x10, 0x06, 0x67, 0xa8, 0x5f, 0xb1, + 0xc5, 0x32, 0xdc, 0x7f, 0xe6, 0x61, 0xe5, 0xeb, 0x9e, 0xa9, 0x61, 0x99, + 0x43, 0xa9, 0x8b, 0xed, 0xaf, 0xe4, 0x21, 0xef, 0x8e, 0x78, 0x5a, 0x61, + 0x55, 0x9d, 0x43, 0xdb, 0x77, 0xaa, 0xbb, 0x19, 0xea, 0x4f, 0x49, 0x53, + 0x80, 0xce, 0x7c, 0x9a, 0xea, 0xa6, 0x93, 0x58, 0xd4, 0xab, 0xf4, 0xe9, + 0x60, 0x7d, 0xca, 0xb2, 0x97, 0xa5, 0xe0, 0x92, 0xce, 0xec, 0x57, 0xbc, + 0xc5, 0x05, 0x76, 0x11, 0x79, 0x03, 0xe1, 0xb2, 0x99, 0xc1, 0x21, 0xd4, + 0x85, 0xe7, 0x6f, 0xc9, 0x58, 0xe8, 0x1c, 0x0d, 0xc8, 0x90, 0x44, 0x4c, + 0x58, 0x55, 0x9a, 0xee, 0xde, 0x62, 0x0e, 0xb2, 0xe3, 0xbc, 0xeb, 0x51, + 0x40, 0x05, 0x71, 0xfe, 0xb4, 0xe9, 0xe6, 0xf6, 0x0e, 0xd7, 0xbb, 0x1b, + 0xb8, 0x99, 0xe8, 0xc9, 0xda, 0x9f, 0xde, 0x3c, 0x13, 0xd9, 0x16, 0x45, + 0x3d, 0xac, 0xe2, 0x09, 0xc3, 0x87, 0xbb, 0x39, 0x8c, 0x6f, 0x11, 0x60, + 0x87, 0x1f, 0xaf, 0xa7, 0xdc, 0x12, 0x8f, 0x7d, 0x4c, 0x5e, 0x56, 0xc3, + 0x62, 0xdd, 0xdd, 0x03, 0x55, 0x9e, 0x24, 0x6c, 0xc5, 0x6c, 0xb8, 0x0e, + 0xaf, 0x11, 0xd5, 0x1e, 0x6a, 0x36, 0x9c, 0xca, 0x46, 0x34, 0x13, 0x2b, + 0xd1, 0xa3, 0x34, 0x2c, 0x83, 0x1b, 0x25, 0xcc, 0x17, 0x01, 0x9c, 0x68, + 0x53, 0xb7, 0x87, 0xed, 0x0e, 0x48, 0xd7, 0x69, 0xf9, 0xc8, 0x1d, 0x8b, + 0x71, 0xf4, 0x6f, 0xd1, 0xb1, 0xd5, 0x70, 0xa0, 0xd7, 0x71, 0x3d, 0x9f, + 0xfc, 0xfa, 0x35, 0x69, 0x25, 0xf3, 0x39, 0x79, 0xad, 0x7b, 0x01, 0xc5, + 0x66, 0xa5, 0xf0, 0xc7, 0x1c, 0xb6, 0x51, 0xe5, 0x02, 0x2b, 0xcf, 0xc1, + 0x2a, 0x91, 0x9d, 0xa5, 0xbf, 0x37, 0x37, 0xdd, 0x2e, 0x30, 0x40, 0xdb, + 0xbf, 0xec, 0xfe, 0x6c, 0x2c, 0xe9, 0x20, 0xee, 0x89, 0xac, 0x55, 0xaf, + 0x03, 0x5a, 0xba, 0x5a, 0x52, 0xfb, 0xbf, 0xb5, 0xae, 0x38, 0x20, 0xa5, + 0x68, 0x92, 0x5f, 0xec, 0x17, 0xa9, 0x80, 0x53, 0xf2, 0x3b, 0x0c, 0x09, + 0xf3, 0xeb, 0x15, 0x62, 0x8e, 0x39, 0x7b, 0x6b}; + +static const unsigned char prime_safe_6144[] = { + 0xb9, 0x0f, 0xc1, 0x41, 0x4a, 0xde, 0x1a, 0x1c, 0x80, 0xa0, 0xd6, 0x39, + 0x81, 0x10, 0xf3, 0x09, 0xca, 0xc0, 0x60, 0x8c, 0x5e, 0x8c, 0x17, 0x21, + 0xa0, 0x18, 0x50, 0xd6, 0x60, 0x13, 0xfc, 0x38, 0x00, 0x26, 0xd9, 0x71, + 0xd2, 0x73, 0xfc, 0x5d, 0x0c, 0xf1, 0x20, 0xce, 0x76, 0x44, 0xbb, 0x8b, + 0x5c, 0xc8, 0x5a, 0x59, 0x0c, 0xcd, 0x48, 0xba, 0xbf, 0x86, 0x72, 0xda, + 0xf5, 0xbd, 0x7c, 0x1d, 0x41, 0xba, 0xe8, 0x9f, 0x8c, 0xc2, 0x18, 0x27, + 0xfa, 0xbc, 0xc6, 0xcf, 0xd8, 0x47, 0xf5, 0xe9, 0x71, 0xcc, 0x37, 0x34, + 0xc3, 0x9b, 0x5a, 0xff, 0xc3, 0x0c, 0xab, 0x1d, 0x97, 0x8c, 0x26, 0x95, + 0x8c, 0xf1, 0x0a, 0x5d, 0x22, 0x84, 0x5a, 0x7c, 0xf2, 0xd1, 0x8b, 0x7c, + 0x6f, 0x17, 0x09, 0x13, 0x00, 0xc9, 0xdf, 0x79, 0xe1, 0x6e, 0xc8, 0xf8, + 0xd3, 0xc1, 0xdd, 0xb2, 0xf4, 0x24, 0x2a, 0xfa, 0x5c, 0x66, 0x25, 0x2b, + 0x39, 0xd1, 0x39, 0x48, 0xfa, 0x76, 0x4f, 0x57, 0xa3, 0x20, 0xc3, 0x38, + 0x2e, 0x85, 0x67, 0x31, 0x92, 0x85, 0x3c, 0x70, 0x23, 0x14, 0xec, 0x6c, + 0x85, 0x28, 0xe0, 0x4f, 0xcc, 0xc6, 0x3b, 0xcf, 0x19, 0x30, 0x3b, 0x01, + 0xfe, 0x9e, 0x16, 0x65, 0x1c, 0xf4, 0x31, 0x0c, 0x9d, 0x23, 0x40, 0x85, + 0x6c, 0xdd, 0xe5, 0xf7, 0x90, 0x25, 0x69, 0x7a, 0x3c, 0xd6, 0xe4, 0x42, + 0x6c, 0x87, 0x04, 0x06, 0xa7, 0x82, 0x1d, 0xfc, 0x5e, 0xd9, 0x03, 0x60, + 0x20, 0x9a, 0x5c, 0x6a, 0xfe, 0x53, 0x0d, 0x05, 0x92, 0x1b, 0xa1, 0xdb, + 0xfa, 0x01, 0x2f, 0x84, 0x89, 0xe0, 0x56, 0x66, 0x7e, 0xe3, 0xe6, 0x99, + 0x4d, 0xb3, 0xd2, 0xf0, 0xce, 0xf3, 0xdf, 0x05, 0x0d, 0x57, 0x42, 0xcd, + 0xfc, 0x06, 0x3c, 0xe7, 0x11, 0x34, 0x7f, 0x51, 0x8e, 0xb7, 0x24, 0x01, + 0xe3, 0x26, 0x47, 0xe7, 0xd1, 0x57, 0x0e, 0x0e, 0xf1, 0x12, 0xc5, 0x79, + 0x2d, 0x87, 0x0f, 0xb1, 0x19, 0x6a, 0xd7, 0x44, 0x33, 0x46, 0x4c, 0xbc, + 0xc5, 0xc6, 0x24, 0xf8, 0x7c, 0x7a, 0x61, 0xfe, 0x72, 0x95, 0x21, 0xcd, + 0xd1, 0x3a, 0xd3, 0x5d, 0x77, 0x76, 0xbd, 0x86, 0xd8, 0xbd, 0x8e, 0x5e, + 0xf2, 0xe5, 0x20, 0x01, 0xd9, 0xb4, 0x47, 0xf7, 0x1c, 0x51, 0x70, 0x39, + 0x6a, 0xc7, 0xea, 0xed, 0x90, 0xd7, 0xc4, 0xd3, 0xcd, 0x8e, 0x4b, 0xd8, + 0x11, 0xf0, 0xd3, 0x66, 0x36, 0x77, 0xe2, 0x16, 0x13, 0xbd, 0xd2, 0x54, + 0x4a, 0x1c, 0x61, 0x54, 0x88, 0x1a, 0x69, 0x85, 0x9f, 0x5d, 0xc5, 0xb7, + 0x62, 0x7e, 0x72, 0x0a, 0x89, 0x90, 0x24, 0x8f, 0x39, 0xb2, 0xf2, 0xb6, + 0x12, 0x8e, 0x50, 0xb4, 0xd3, 0xea, 0xc3, 0xac, 0xea, 0x8d, 0x27, 0x17, + 0xbd, 0x07, 0xd2, 0x15, 0x80, 0x49, 0xe0, 0x97, 0x41, 0x16, 0xd6, 0x3b, + 0x24, 0xe8, 0x8b, 0xfd, 0xa3, 0x18, 0xbd, 0x52, 0x5d, 0xe2, 0x21, 0xce, + 0x7c, 0x6f, 0x10, 0x38, 0x70, 0x64, 0xc4, 0x15, 0xf3, 0x28, 0xc6, 0x66, + 0xfc, 0xd1, 0x22, 0x04, 0x80, 0x80, 0xc6, 0xc5, 0x75, 0xf5, 0xdc, 0xb0, + 0x40, 0x4b, 0x12, 0xfa, 0xdb, 0xd5, 0x36, 0xcd, 0x31, 0xab, 0xd7, 0x1d, + 0x18, 0x07, 0x9d, 0x09, 0x9b, 0x16, 0xa0, 0xfe, 0x1e, 0x6f, 0x3f, 0x34, + 0x5a, 0xe6, 0x70, 0x85, 0x98, 0x30, 0xd4, 0x94, 0xc5, 0xf0, 0x36, 0x35, + 0xa1, 0xed, 0x46, 0x63, 0x3c, 0x0f, 0xcf, 0xc5, 0x9e, 0x7c, 0x68, 0x25, + 0x64, 0x93, 0x30, 0x36, 0x38, 0xb1, 0x99, 0x6c, 0x37, 0xf5, 0xcf, 0x64, + 0x4b, 0xef, 0xa6, 0xff, 0x6a, 0xaa, 0xaa, 0xb6, 0x29, 0xed, 0x38, 0x80, + 0x1f, 0x58, 0x35, 0x88, 0x3f, 0x01, 0x1c, 0xc8, 0x23, 0x48, 0x37, 0xa7, + 0xd2, 0xb1, 0xb1, 0xee, 0x44, 0x59, 0x0a, 0xfb, 0x05, 0xd9, 0xe1, 0x5b, + 0x53, 0x34, 0x9d, 0x99, 0x30, 0x28, 0xa9, 0x3b, 0x8e, 0x1b, 0xac, 0x8a, + 0x90, 0x91, 0xc9, 0x71, 0x8a, 0xea, 0xb9, 0x11, 0xd5, 0x67, 0x87, 0x4f, + 0xdb, 0x27, 0x4f, 0x7f, 0xb8, 0x54, 0x7f, 0x5e, 0x18, 0x08, 0xf7, 0xf3, + 0x1c, 0x02, 0x3a, 0x04, 0xde, 0xcc, 0x10, 0x06, 0x7e, 0x15, 0xc3, 0x24, + 0x0c, 0xdf, 0x0d, 0xf8, 0x86, 0xc0, 0x4c, 0xab, 0x0f, 0x75, 0x04, 0xbe, + 0xf3, 0x90, 0x28, 0xd1, 0x22, 0x17, 0x96, 0xcc, 0x29, 0x11, 0x09, 0xa7, + 0x53, 0x42, 0xea, 0x91, 0x51, 0xaf, 0x55, 0xa1, 0x03, 0x67, 0x78, 0x63, + 0xb3, 0xb0, 0x0f, 0x59, 0x5d, 0x37, 0xe7, 0x30, 0x8b, 0xca, 0xa0, 0x45, + 0x12, 0x7a, 0xa5, 0x09, 0xfb, 0xa6, 0x99, 0xdd, 0xf7, 0xe9, 0x30, 0x5a, + 0xc2, 0x9d, 0x0d, 0xdf, 0x39, 0x99, 0x25, 0x0d, 0xb2, 0x57, 0xb6, 0x78, + 0x02, 0x30, 0xf8, 0x86, 0xde, 0x79, 0xb4, 0xbe, 0x3e, 0x53, 0xff, 0x74, + 0x0f, 0x4d, 0x30, 0x2d, 0xe6, 0x57, 0x4a, 0x57, 0x53, 0x3a, 0x0b, 0x19, + 0x86, 0xab, 0x90, 0xe5, 0x33, 0x84, 0x53, 0x7a, 0x17, 0xc5, 0xf1, 0x8c, + 0xc3, 0xe4, 0x11, 0x53, 0x2b, 0xb5, 0xb4, 0x8e, 0xe6, 0xd2, 0x04, 0x43, + 0x5b, 0x6a, 0x30, 0xc7, 0xca, 0xaf, 0x91, 0xc0, 0x76, 0x43, 0x86, 0x65, + 0xee, 0xcd, 0x82, 0xbe, 0xa2, 0xd8, 0x2d, 0xad, 0xeb, 0xb5, 0x1a, 0xb5, + 0xbf, 0xa1, 0xe7, 0x93, 0x50, 0x15, 0x08, 0x27, 0x27, 0x3c, 0xcc, 0x53, + 0x82, 0x67, 0xd4, 0xf2, 0x0d, 0x26, 0x60, 0x87, 0x05, 0x2e, 0xaa, 0x62, + 0x55, 0xcc, 0x9a, 0xee, 0x2c, 0x20, 0x23, 0x14, 0xfa, 0x5c, 0x29, 0x41, + 0xe1, 0x89, 0x83, 0x19, 0xc1, 0x36, 0x8c, 0xa4, 0x91, 0xf6, 0x40, 0x37, + 0x70, 0x2a, 0x0d, 0x82, 0xbb, 0x56, 0x6e, 0x23, 0x34, 0xb9, 0x6e, 0x33}; + +static const unsigned char prime_safe_8192[] = { + 0x9b, 0xa7, 0x9b, 0xa2, 0x86, 0x54, 0xe7, 0x99, 0x11, 0x5b, 0x35, 0x81, + 0xd5, 0x7a, 0x8a, 0x6e, 0x4d, 0x4d, 0x61, 0x5d, 0xd3, 0xcf, 0x0c, 0x65, + 0x7e, 0xda, 0xd8, 0xce, 0x28, 0xac, 0xa0, 0x38, 0x81, 0xee, 0xa1, 0x14, + 0x25, 0x21, 0x67, 0x66, 0x3a, 0x6c, 0x0f, 0x80, 0x3d, 0x89, 0x79, 0xfe, + 0x71, 0x43, 0x57, 0xc3, 0xa9, 0x54, 0x1e, 0x20, 0x8a, 0xee, 0x0f, 0xa6, + 0x8b, 0x88, 0x81, 0x3d, 0xe8, 0x5c, 0x40, 0x47, 0x05, 0xdf, 0xd8, 0x6d, + 0x98, 0x65, 0x16, 0xa9, 0xf9, 0xc4, 0x8c, 0x02, 0xba, 0xae, 0x6b, 0x36, + 0x76, 0xc9, 0xfa, 0x8e, 0xd0, 0xd7, 0x9a, 0x3c, 0xcb, 0xd1, 0x44, 0x09, + 0xd7, 0x4f, 0x28, 0x51, 0x94, 0x92, 0x5b, 0x02, 0xb2, 0xbd, 0x78, 0xd3, + 0xc2, 0x76, 0x03, 0x15, 0x17, 0x0b, 0x55, 0x08, 0x02, 0x42, 0x9e, 0x26, + 0x56, 0x33, 0x72, 0xe6, 0xbd, 0x0e, 0xf9, 0x3d, 0x2c, 0xb3, 0x8a, 0x4c, + 0x67, 0x17, 0xfd, 0xe9, 0x03, 0xad, 0x8c, 0x34, 0x84, 0xe5, 0x83, 0xdf, + 0x9c, 0x04, 0x93, 0x03, 0x26, 0x19, 0xc1, 0xf1, 0x24, 0x68, 0xf6, 0x54, + 0x96, 0xce, 0x38, 0x51, 0xbd, 0x6c, 0x3d, 0x9c, 0x0c, 0xd8, 0x6e, 0x13, + 0x4c, 0x8b, 0xf6, 0x34, 0xae, 0xd8, 0x85, 0x1d, 0x1d, 0x8e, 0xc2, 0xad, + 0xab, 0xa2, 0xc5, 0x40, 0x76, 0x7f, 0x2f, 0x2e, 0x38, 0xf4, 0x6a, 0x39, + 0x33, 0x3d, 0x17, 0xce, 0x1f, 0xe9, 0xc3, 0x8d, 0x9e, 0xe5, 0xbe, 0xd6, + 0xad, 0x9a, 0x23, 0xd8, 0x06, 0xf3, 0x7c, 0x39, 0xd5, 0xae, 0x57, 0xb6, + 0xe5, 0xc3, 0x9a, 0x8a, 0x8c, 0x6e, 0xd3, 0xc1, 0x1a, 0x64, 0x12, 0x00, + 0x18, 0x53, 0xca, 0x32, 0x88, 0x8e, 0xc0, 0x5f, 0x2d, 0xb2, 0x3d, 0x14, + 0x1b, 0x58, 0x5c, 0x20, 0xe8, 0x52, 0xe5, 0x28, 0x41, 0xbc, 0x9e, 0x08, + 0x29, 0xab, 0xa5, 0x43, 0x99, 0x0e, 0xd7, 0x2a, 0xb9, 0xb8, 0x64, 0x9d, + 0x83, 0xe3, 0x1a, 0x26, 0x59, 0x65, 0xf2, 0x0c, 0xc9, 0xc5, 0x8f, 0x0d, + 0xcf, 0xa1, 0x18, 0xfc, 0x8b, 0x77, 0xe9, 0xe1, 0x19, 0x7b, 0x03, 0xd4, + 0x37, 0x8d, 0x5d, 0x37, 0x2b, 0xad, 0x58, 0x5e, 0x73, 0x72, 0xce, 0x84, + 0xe5, 0xc9, 0x75, 0x1d, 0xf3, 0x58, 0x42, 0x77, 0xfe, 0x53, 0xa0, 0xc2, + 0x66, 0x21, 0xaf, 0xe2, 0x61, 0xd2, 0x84, 0xb3, 0x03, 0x4d, 0xd8, 0x7d, + 0x85, 0xe1, 0xa8, 0xa0, 0x48, 0x5d, 0x1a, 0xa9, 0xac, 0xc1, 0x69, 0x24, + 0xc6, 0xfa, 0xb5, 0x22, 0x3e, 0xa3, 0x8d, 0x35, 0x29, 0xcf, 0x9a, 0xe5, + 0x84, 0x3b, 0x0b, 0x27, 0x36, 0x7e, 0x9d, 0xa6, 0xb0, 0x45, 0x60, 0x42, + 0x1e, 0x4b, 0x24, 0xd1, 0x36, 0x8b, 0x70, 0xd1, 0x95, 0x54, 0x14, 0xb9, + 0x47, 0x3d, 0x8d, 0xe4, 0x5f, 0x81, 0x1a, 0x21, 0x17, 0x17, 0xbf, 0x92, + 0x22, 0x4c, 0x77, 0x30, 0xdc, 0x9c, 0x84, 0xe6, 0x68, 0xcc, 0xd6, 0x11, + 0x04, 0xff, 0x71, 0x86, 0xb3, 0xa9, 0x9b, 0x13, 0x95, 0x35, 0xfd, 0x68, + 0x28, 0x9b, 0x6f, 0x5c, 0xf7, 0x66, 0xa8, 0x6f, 0x89, 0x0f, 0x92, 0xdf, + 0x52, 0x24, 0x3f, 0xdb, 0x2f, 0x40, 0x12, 0x32, 0xa4, 0xff, 0x2e, 0x4b, + 0xb8, 0xa0, 0xe7, 0xc9, 0xcb, 0x98, 0x13, 0xf9, 0xd2, 0xfa, 0x82, 0x68, + 0xb2, 0x8f, 0xd3, 0x17, 0x8c, 0x93, 0xf5, 0x80, 0xe4, 0x5a, 0x33, 0x1b, + 0x6a, 0xd8, 0xbf, 0x37, 0xa7, 0xe1, 0x63, 0x1d, 0x6a, 0xc3, 0xfa, 0xa1, + 0x2f, 0xc1, 0x72, 0x55, 0xd5, 0xe2, 0x67, 0x3b, 0x6b, 0x3a, 0xa8, 0xb0, + 0x54, 0x04, 0x1d, 0xbb, 0xc1, 0xe5, 0x3a, 0x52, 0xb1, 0x67, 0x0b, 0x12, + 0x3e, 0xcd, 0xa9, 0x9a, 0x0e, 0xbb, 0xa3, 0x75, 0x6d, 0x6f, 0x77, 0x74, + 0x64, 0xe3, 0x16, 0x8c, 0xa5, 0xba, 0xec, 0x51, 0x73, 0xce, 0x4b, 0xe6, + 0x6f, 0x3d, 0x15, 0x56, 0x43, 0xe1, 0x17, 0x77, 0x66, 0xab, 0xdc, 0x9d, + 0x9b, 0x10, 0x5d, 0xc4, 0xe9, 0x1e, 0xaa, 0x2d, 0x15, 0xbb, 0xc4, 0x09, + 0x46, 0x30, 0xe1, 0xb8, 0x92, 0x94, 0x5f, 0xb7, 0xe7, 0x7e, 0x97, 0x43, + 0xc0, 0x48, 0x5b, 0xaf, 0xea, 0x74, 0xae, 0x8c, 0x79, 0x6b, 0x66, 0x83, + 0x62, 0x88, 0x17, 0xa4, 0x56, 0x5d, 0x58, 0xfb, 0x6c, 0x38, 0x57, 0x4d, + 0xef, 0xd7, 0x36, 0x44, 0x39, 0x5b, 0xab, 0x94, 0xe4, 0x08, 0x30, 0xd3, + 0x2c, 0x59, 0xa0, 0x32, 0xe2, 0x71, 0x99, 0xec, 0x66, 0x5e, 0xf7, 0xe2, + 0x9c, 0x19, 0x69, 0x72, 0x6f, 0xdb, 0x3e, 0xcc, 0x19, 0x5a, 0xfd, 0xad, + 0xd6, 0x6e, 0x9d, 0x07, 0xc0, 0x65, 0x01, 0x75, 0xdd, 0x37, 0x1b, 0x9c, + 0x5e, 0x93, 0x32, 0xf8, 0x7e, 0x65, 0xd5, 0xb5, 0x15, 0x35, 0xad, 0x05, + 0xb5, 0xd2, 0x25, 0xc7, 0x71, 0x5a, 0xe4, 0xb7, 0x58, 0x6a, 0xc3, 0x5a, + 0xd9, 0xd4, 0xee, 0x32, 0xb5, 0x0b, 0x5b, 0x2a, 0xcd, 0x80, 0xce, 0xd4, + 0x2d, 0xc9, 0x09, 0x94, 0xf5, 0xf2, 0x7c, 0xaf, 0xba, 0x5a, 0xd3, 0xdc, + 0xcd, 0xd7, 0xf7, 0xea, 0x42, 0xe2, 0xc2, 0x34, 0x21, 0xb9, 0x15, 0x24, + 0xe8, 0x32, 0x6b, 0x6f, 0xb0, 0xed, 0x76, 0x5e, 0x45, 0xbf, 0x02, 0xa2, + 0xb8, 0x3c, 0xa5, 0xf5, 0x74, 0xe3, 0x18, 0x89, 0x21, 0x4e, 0xa6, 0x08, + 0xa3, 0xa5, 0x93, 0x69, 0x48, 0x96, 0xbd, 0x47, 0xd3, 0xeb, 0x67, 0x29, + 0xa8, 0xbb, 0xbe, 0x78, 0x05, 0xfa, 0x46, 0x89, 0x4e, 0x0c, 0xe2, 0x6c, + 0xbb, 0xe5, 0xf8, 0xba, 0xe5, 0x5d, 0x29, 0xe7, 0xdd, 0x71, 0x7e, 0x94, + 0xd7, 0x56, 0x0c, 0x3c, 0xde, 0x5f, 0xbc, 0xdc, 0x0f, 0x8e, 0xd6, 0x6f, + 0x0a, 0x07, 0xb8, 0x07, 0x24, 0x62, 0x4c, 0xed, 0x45, 0x4f, 0x0d, 0x9f, + 0x2e, 0x83, 0x6a, 0xeb, 0xbc, 0xff, 0xa9, 0xf2, 0x73, 0xb3, 0x5b, 0xaa, + 0xac, 0xed, 0xac, 0x88, 0xa2, 0x0d, 0x8d, 0x8f, 0xb4, 0xf7, 0x73, 0x1e, + 0xc0, 0x2e, 0xd3, 0x45, 0x15, 0x4b, 0x4a, 0xe7, 0xd4, 0xef, 0xb1, 0xc6, + 0xd3, 0x8f, 0xf8, 0x24, 0x12, 0x33, 0x3e, 0x8e, 0x95, 0xbc, 0x81, 0xb4, + 0xd4, 0xd1, 0x13, 0xbc, 0x7e, 0x25, 0xb4, 0x5b, 0xff, 0x15, 0xba, 0xf8, + 0x9a, 0xec, 0x78, 0xe4, 0x63, 0xc7, 0x26, 0xd5, 0x89, 0x3d, 0x63, 0x5b, + 0x7c, 0x86, 0x63, 0x34, 0x06, 0x28, 0x23, 0x08, 0xff, 0x6d, 0xbd, 0xe0, + 0x75, 0xb3, 0x71, 0x12, 0x26, 0x63, 0xca, 0x93, 0x36, 0x86, 0xeb, 0xf7, + 0x48, 0xd1, 0x96, 0xf4, 0x02, 0x3e, 0x5d, 0x69, 0x75, 0x5e, 0x95, 0xee, + 0x32, 0xb9, 0xba, 0x55, 0xc5, 0x42, 0x74, 0x00, 0xe1, 0x0f, 0x16, 0x05, + 0x62, 0x3c, 0x58, 0xcb, 0xe0, 0xd4, 0xa9, 0xe5, 0x1a, 0x3b, 0x84, 0x7e, + 0x19, 0x87, 0xad, 0x67, 0xcd, 0x9b, 0x97, 0xb0, 0x32, 0xd7, 0xb8, 0x1e, + 0x96, 0x69, 0x75, 0x0f, 0x61, 0x69, 0xb3, 0xc9, 0xce, 0x73, 0x7c, 0x5f, + 0xd5, 0x08, 0xdf, 0xd4, 0x07, 0x75, 0x60, 0xd7, 0x50, 0x52, 0xe7, 0x5c, + 0x6f, 0x04, 0x59, 0x65, 0xbd, 0x70, 0x99, 0x15, 0xf9, 0xbc, 0x34, 0x78, + 0x6a, 0x64, 0xac, 0x5f, 0x07, 0xc2, 0x89, 0x88, 0xfe, 0x11, 0x7a, 0xf7, + 0x3d, 0xbe, 0x83, 0xff, 0xeb, 0x1d, 0x52, 0xbe, 0xd4, 0x09, 0x71, 0x0f, + 0x7c, 0x95, 0x19, 0xf2, 0x4b, 0xf5, 0x44, 0x63, 0xf2, 0xec, 0x3f, 0xf9, + 0xe4, 0xfb, 0xbe, 0x24, 0xb2, 0x18, 0x53, 0xce, 0x16, 0x40, 0x1e, 0x27, + 0x62, 0x99, 0x93, 0xc9, 0x49, 0x8f, 0x98, 0x0d, 0xd8, 0x73, 0x65, 0x99, + 0xac, 0xff, 0xfe, 0x22, 0x6a, 0xd1, 0xfb, 0xa1, 0xe4, 0xe7, 0xab, 0x3c, + 0x72, 0x10, 0xac, 0x73}; + +/* Weak primes with value subprimes. Accepted, but takes more processing + * in both modes. */ +static const unsigned char prime_weak_1024[] = { + 0xe4, 0x82, 0x09, 0x4a, 0x6b, 0xbe, 0x9b, 0x51, 0x11, 0xa0, 0x74, 0x25, + 0xff, 0x50, 0x1c, 0x0a, 0xd6, 0xd0, 0xbc, 0xd3, 0x24, 0x89, 0x75, 0x74, + 0xb3, 0xd6, 0x6b, 0xf4, 0xc7, 0x5f, 0x6a, 0xec, 0x1e, 0x3a, 0x20, 0x02, + 0x16, 0x75, 0xcc, 0x44, 0x4a, 0xbf, 0x5b, 0x58, 0xad, 0xfe, 0xb0, 0x18, + 0x6a, 0x38, 0x8b, 0xcb, 0xdb, 0xd1, 0x77, 0x42, 0xe3, 0xa3, 0x87, 0x8a, + 0x99, 0x2e, 0x11, 0xd8, 0xc9, 0x02, 0x84, 0x1d, 0xd2, 0x67, 0x28, 0xbd, + 0x8f, 0xfb, 0x56, 0xf2, 0x63, 0x8a, 0x2c, 0x7c, 0x38, 0xef, 0xa2, 0x0c, + 0x6a, 0x36, 0xd0, 0x99, 0x13, 0x47, 0x48, 0x40, 0xe5, 0xcd, 0xdb, 0x04, + 0x4c, 0xa2, 0x12, 0x3f, 0x1a, 0x9b, 0x9a, 0x0e, 0xb8, 0x68, 0x7d, 0x01, + 0xbc, 0x16, 0x6f, 0x51, 0x64, 0x1d, 0xab, 0x21, 0x75, 0x49, 0x12, 0x36, + 0xac, 0x65, 0x8b, 0xf8, 0x87, 0xd9, 0xaf, 0xd1}; + +static const unsigned char subprime_weak_1024[] = { + 0xef, 0x0c, 0x17, 0x60, 0xd1, 0x91, 0x8f, 0xea, 0x4d, 0xbe, + 0x0a, 0xb2, 0x37, 0xcc, 0x6b, 0xba, 0x97, 0x98, 0x2d, 0x4b}; + +static const unsigned char base_weak_1024[] = { + 0x5a, 0x70, 0x8b, 0xe1, 0x1d, 0xed, 0x69, 0x04, 0xd0, 0xdc, 0xda, 0x84, + 0x9e, 0x79, 0x56, 0x11, 0x44, 0xdc, 0xf7, 0xb8, 0x84, 0x88, 0x75, 0x67, + 0xba, 0x80, 0x5b, 0x7e, 0x50, 0xc1, 0x5c, 0x80, 0x59, 0xaa, 0x55, 0x24, + 0x44, 0x6a, 0x8a, 0x31, 0x20, 0x1a, 0xd4, 0xba, 0x5f, 0x32, 0xc6, 0x5d, + 0x9d, 0x0e, 0x58, 0xfc, 0xd0, 0x6c, 0x74, 0xea, 0xd9, 0xc6, 0x86, 0x9f, + 0x3f, 0x83, 0x0e, 0x73, 0xae, 0x28, 0x40, 0x19, 0x9f, 0x5d, 0x64, 0xc4, + 0xae, 0xda, 0x11, 0x3e, 0x3f, 0x44, 0x87, 0xac, 0x41, 0x1e, 0xfa, 0xdb, + 0x1f, 0xde, 0x09, 0x7c, 0x54, 0x7c, 0x8a, 0xe0, 0x82, 0xd7, 0x8c, 0xb9, + 0x61, 0xa0, 0x10, 0xab, 0xff, 0xe1, 0x1f, 0x8b, 0x9d, 0x51, 0x71, 0xc7, + 0xfb, 0xd9, 0xe0, 0x10, 0xc3, 0x7d, 0x88, 0xe9, 0xd2, 0x42, 0xaf, 0xda, + 0x77, 0x55, 0x28, 0x07, 0x03, 0x26, 0xb3, 0x77}; + +static const unsigned char prime_weak_2048[] = { + 0xb5, 0x08, 0x83, 0x6a, 0x22, 0x39, 0xdf, 0x02, 0xfe, 0x73, 0x6b, 0xfb, + 0x0d, 0x4e, 0xad, 0x4b, 0x0f, 0xfd, 0xb2, 0x27, 0xe7, 0xd2, 0x35, 0xd4, + 0x83, 0xf2, 0xbc, 0x29, 0xff, 0x50, 0xf7, 0x6b, 0xb7, 0x94, 0x38, 0xff, + 0xdc, 0x79, 0x67, 0x9a, 0x80, 0x8b, 0xc2, 0x20, 0x4e, 0x53, 0x02, 0x2a, + 0x07, 0xec, 0xa9, 0xbd, 0x22, 0xd1, 0xba, 0x35, 0x31, 0x10, 0x21, 0xb6, + 0x4f, 0xe1, 0x94, 0x0b, 0xb0, 0xb3, 0x37, 0x20, 0x0d, 0x6a, 0xd4, 0x91, + 0x5c, 0x85, 0xe9, 0xae, 0x8a, 0xf2, 0x94, 0xe7, 0x44, 0xf5, 0xcc, 0x04, + 0x82, 0x57, 0x81, 0x21, 0x83, 0x18, 0x48, 0x2d, 0xe3, 0x1c, 0xa1, 0x7f, + 0xee, 0x10, 0xb9, 0xe8, 0x40, 0xfc, 0xda, 0x43, 0x7d, 0x18, 0xe4, 0x68, + 0x9f, 0xed, 0x5e, 0xc3, 0x1f, 0x80, 0xef, 0x5c, 0x24, 0x5e, 0x68, 0xac, + 0x99, 0x9c, 0x74, 0x96, 0x5b, 0xb3, 0xe7, 0xb2, 0x65, 0x78, 0xfb, 0x3c, + 0x11, 0x00, 0x04, 0x4b, 0x98, 0x0e, 0x8a, 0x7b, 0x38, 0x08, 0x34, 0xb9, + 0x6d, 0x08, 0x65, 0x17, 0x91, 0x49, 0x62, 0x47, 0x64, 0xab, 0xc6, 0xd0, + 0xf2, 0xcf, 0x89, 0x07, 0xeb, 0xa3, 0x5d, 0xf3, 0xa2, 0xfb, 0xdd, 0x7b, + 0x3e, 0x7e, 0xa2, 0xd7, 0x1a, 0x42, 0xad, 0x74, 0xbd, 0xbb, 0xcf, 0x21, + 0x91, 0xd2, 0x6b, 0x1d, 0x9d, 0xa8, 0x05, 0x88, 0x4f, 0xb1, 0x45, 0xa2, + 0x86, 0x90, 0x12, 0xfd, 0xcb, 0x25, 0xe1, 0x12, 0x08, 0x47, 0x1d, 0x83, + 0x2d, 0x14, 0x42, 0x20, 0x08, 0x31, 0x54, 0x2c, 0x9b, 0x49, 0xf6, 0xb6, + 0x2d, 0x25, 0xea, 0x28, 0xbf, 0x13, 0x2b, 0xd3, 0x45, 0x8d, 0x02, 0x9f, + 0xa5, 0xaa, 0xeb, 0xc0, 0x48, 0xd1, 0x06, 0xe6, 0x1e, 0xa0, 0x3e, 0x04, + 0x20, 0x79, 0x7c, 0xd1, 0xd0, 0xac, 0x61, 0x89, 0x6c, 0x3b, 0x88, 0xa3, + 0x54, 0x6c, 0x80, 0x59}; + +static const unsigned char subprime_weak_2048[] = { + 0xcd, 0x9d, 0xbf, 0x88, 0xe5, 0xc0, 0x03, 0x16, 0xec, 0x9c, 0xb4, + 0x6e, 0x54, 0xd2, 0xbf, 0xdc, 0x05, 0x92, 0xcd, 0x05, 0x87, 0xc9, + 0x9c, 0x91, 0x19, 0x54, 0xb6, 0xd7, 0x1e, 0xe1, 0x0a, 0x93}; + +static const unsigned char base_weak_2048[] = { + 0x36, 0xc6, 0x6e, 0x3e, 0xe8, 0x44, 0xa0, 0x57, 0x1d, 0x8e, 0x71, 0xb6, + 0x6c, 0x24, 0xf6, 0x1d, 0xb6, 0xa5, 0xfd, 0xe3, 0xd6, 0xc5, 0x6b, 0xe8, + 0x94, 0x5a, 0x8c, 0x5a, 0xdf, 0x41, 0x51, 0xe6, 0xfb, 0x76, 0x4b, 0x06, + 0x4b, 0x03, 0x33, 0x98, 0x15, 0xb5, 0x60, 0x43, 0xc7, 0xc5, 0xb3, 0x4d, + 0x58, 0x90, 0xe8, 0x63, 0xc5, 0xad, 0x5f, 0x57, 0xcf, 0x42, 0x26, 0x99, + 0xa0, 0x71, 0xc6, 0x73, 0x03, 0xa0, 0x45, 0xd0, 0x87, 0xf0, 0xd8, 0x9a, + 0xb2, 0x7d, 0xd7, 0x2d, 0x10, 0x52, 0x04, 0x36, 0x37, 0x4f, 0x9d, 0xb7, + 0x66, 0xdc, 0xf5, 0x76, 0xac, 0x87, 0xfe, 0x5a, 0x9d, 0xca, 0x1e, 0xfb, + 0x6f, 0x7f, 0xfd, 0x9a, 0xaa, 0x12, 0xcf, 0x7a, 0xdb, 0x15, 0xf3, 0xb2, + 0x7b, 0x17, 0xb9, 0xaf, 0x5f, 0xdf, 0x9c, 0x66, 0x29, 0x83, 0x89, 0xf9, + 0xf9, 0xf7, 0x4a, 0x04, 0x1d, 0x00, 0xf7, 0x11, 0x98, 0x18, 0x0a, 0xab, + 0x47, 0xcc, 0x3e, 0x11, 0xf4, 0xe0, 0x7e, 0xad, 0xa5, 0x67, 0xf8, 0x4b, + 0x1b, 0x81, 0x72, 0x8e, 0x5b, 0x49, 0x90, 0x0e, 0x01, 0xc1, 0x7e, 0x8d, + 0xfb, 0xa2, 0xe7, 0x92, 0xd0, 0x23, 0xf5, 0x4a, 0xe8, 0xd4, 0x51, 0xc4, + 0x89, 0xe8, 0x4a, 0x9f, 0xf6, 0xa2, 0xdc, 0xe2, 0x32, 0x88, 0x56, 0x2c, + 0x97, 0x38, 0xdf, 0xd6, 0x4f, 0xfb, 0xf8, 0xbb, 0xee, 0x7a, 0x3a, 0x05, + 0xa2, 0x7f, 0xbb, 0x6d, 0xf6, 0xd6, 0x48, 0xf4, 0x6d, 0x23, 0xb3, 0x93, + 0x7c, 0xfb, 0xd4, 0x8c, 0xa0, 0x58, 0xbc, 0xdf, 0x1b, 0x35, 0x2a, 0x56, + 0x80, 0x7c, 0xc6, 0x28, 0x35, 0xb6, 0x17, 0x5d, 0xa5, 0x15, 0x79, 0x7d, + 0x2c, 0x6a, 0xcf, 0xb1, 0xb1, 0x6e, 0xea, 0xd0, 0x4b, 0xfb, 0xa5, 0xbb, + 0xb7, 0x9f, 0x74, 0x42, 0xd5, 0xf3, 0x4b, 0x54, 0x40, 0xf0, 0x4c, 0x6b, + 0x0f, 0xaf, 0x89, 0x10}; + +static const unsigned char prime_weak_3072[] = { + 0x94, 0x32, 0xc7, 0x47, 0x51, 0xa3, 0x03, 0x9b, 0xf2, 0x51, 0x5c, 0x69, + 0xaf, 0x05, 0x3c, 0x76, 0x62, 0xa2, 0xec, 0x5a, 0xcc, 0xdf, 0x80, 0xf3, + 0x2d, 0xce, 0xa5, 0xa5, 0x9e, 0x2d, 0xab, 0x5f, 0x91, 0xbd, 0x93, 0x61, + 0xd7, 0x7b, 0x71, 0x6f, 0xf3, 0x92, 0xbf, 0xa8, 0xfc, 0xcd, 0x00, 0xf5, + 0x49, 0x08, 0x00, 0x8c, 0xd2, 0xfe, 0x4a, 0xd8, 0x2b, 0x6e, 0x42, 0xc0, + 0xd8, 0xa2, 0x8b, 0x2b, 0x18, 0x02, 0xad, 0xe8, 0x4e, 0x44, 0x09, 0x26, + 0xa1, 0xa1, 0xca, 0x99, 0xe3, 0xd9, 0x9a, 0x87, 0x3c, 0x83, 0x6a, 0x1a, + 0x7b, 0x60, 0xba, 0x78, 0x0c, 0x79, 0x50, 0x1f, 0xde, 0x40, 0x14, 0x58, + 0x18, 0xa9, 0x2b, 0x74, 0x11, 0xb4, 0x65, 0xfe, 0x9d, 0x03, 0xa4, 0xef, + 0xdf, 0x74, 0x8e, 0xcd, 0x7b, 0xd4, 0xf3, 0x28, 0x75, 0xb2, 0x31, 0xef, + 0x99, 0x65, 0xcb, 0x5a, 0x77, 0xca, 0xa2, 0x25, 0x28, 0xae, 0xfa, 0x9f, + 0xeb, 0xda, 0xcc, 0x34, 0x7b, 0x21, 0xd7, 0xdb, 0x54, 0x40, 0xe6, 0x2f, + 0xdb, 0xc0, 0xce, 0xdc, 0xe5, 0xc9, 0x27, 0x97, 0x99, 0x9c, 0x02, 0x4f, + 0x24, 0x88, 0x93, 0xdf, 0xa9, 0xc7, 0x3e, 0x10, 0xc8, 0xaa, 0x6a, 0xce, + 0xda, 0x46, 0x94, 0x8c, 0xad, 0x1e, 0xf1, 0xcb, 0xd3, 0xcd, 0x43, 0x44, + 0xb4, 0x20, 0x91, 0x9e, 0xf6, 0xd1, 0x03, 0xef, 0xc2, 0x04, 0xf7, 0x07, + 0xdb, 0xac, 0xa2, 0x28, 0x8c, 0x7d, 0x1d, 0x5d, 0x2c, 0x5a, 0xfc, 0x26, + 0x5b, 0x0b, 0x58, 0xb9, 0x9a, 0x47, 0xe9, 0xa0, 0xdf, 0xa5, 0x5a, 0xf3, + 0xe5, 0xd6, 0xeb, 0x69, 0xb5, 0x4e, 0xbc, 0x71, 0xc0, 0xd6, 0x9b, 0xb8, + 0x40, 0x3b, 0xc5, 0x72, 0x5d, 0x4d, 0x1b, 0x17, 0x3d, 0x36, 0xa4, 0xb1, + 0x15, 0xa7, 0x9a, 0x72, 0xeb, 0xf2, 0x9e, 0x40, 0xd1, 0xbc, 0x35, 0xc7, + 0xd1, 0x1a, 0x8f, 0x1c, 0x2b, 0x5e, 0xd8, 0xb3, 0x3b, 0x44, 0xae, 0xf5, + 0x81, 0xd0, 0x8a, 0x37, 0xab, 0xba, 0x22, 0xbc, 0x2d, 0x88, 0x2f, 0x24, + 0xbb, 0xb0, 0x1a, 0xa9, 0x5f, 0x07, 0x10, 0x6d, 0xc6, 0xbb, 0x3c, 0xa2, + 0x66, 0xf9, 0xb9, 0x95, 0xd6, 0x5e, 0x8c, 0xce, 0x04, 0xdc, 0xb3, 0x4c, + 0xbc, 0xe9, 0xc5, 0xcb, 0x19, 0x97, 0xe2, 0xa1, 0x09, 0x38, 0xd7, 0x82, + 0xa6, 0xbf, 0xc9, 0x15, 0x25, 0xf1, 0x2c, 0x77, 0xfc, 0xbd, 0xfa, 0x7f, + 0x92, 0xfe, 0xd6, 0x31, 0x03, 0x23, 0x2d, 0x17, 0x2f, 0x51, 0x9e, 0x5c, + 0xb1, 0x68, 0xc0, 0x3f, 0x42, 0x99, 0x00, 0x55, 0x33, 0x68, 0xd7, 0xee, + 0x51, 0x7d, 0x3e, 0x03, 0x4f, 0x02, 0x5f, 0x27, 0xdd, 0x17, 0x18, 0x6c, + 0x1e, 0x9d, 0x91, 0x65, 0xf8, 0xd7, 0xa6, 0x9f, 0xa1, 0xba, 0xa8, 0x76, + 0xe4, 0xd8, 0xf4, 0x59, 0x90, 0x16, 0x67, 0x88, 0xc2, 0xa9, 0xe4, 0x2d}; + +static const unsigned char subprime_weak_3072[] = { + 0xd6, 0xf6, 0xeb, 0x1e, 0x65, 0x44, 0xe1, 0x1a, 0x37, 0x69, 0x8c, + 0x60, 0x45, 0xcb, 0xcb, 0x52, 0xe4, 0x88, 0xcb, 0xad, 0xb2, 0x27, + 0x18, 0xfa, 0x3a, 0xcf, 0xc6, 0xf9, 0xc3, 0x03, 0xa8, 0xb9}; + +static const unsigned char base_weak_3072[] = { + 0x6e, 0x65, 0xcd, 0xd8, 0xbf, 0x8a, 0x5a, 0xa1, 0x05, 0x62, 0xa2, 0x64, + 0x88, 0x4a, 0x49, 0x1b, 0x57, 0xa8, 0x0e, 0x2e, 0x28, 0x4a, 0xe3, 0xaa, + 0xa7, 0x4e, 0xc7, 0x06, 0xe2, 0xf8, 0x9c, 0xd7, 0x05, 0x05, 0x6e, 0x5b, + 0x89, 0xd5, 0xa1, 0x16, 0xda, 0x2a, 0x2f, 0xe6, 0x86, 0xf0, 0x6e, 0xdc, + 0xd0, 0xbc, 0x0b, 0x39, 0x90, 0xe3, 0x74, 0x2c, 0x02, 0x6f, 0x7e, 0x32, + 0x2d, 0xf6, 0xd7, 0xa2, 0xfb, 0xe9, 0xaf, 0x8b, 0xb3, 0x1c, 0xd0, 0x78, + 0x4a, 0x76, 0xf8, 0xbd, 0x03, 0x5b, 0x0c, 0x68, 0x65, 0x23, 0x8a, 0x45, + 0xf3, 0x51, 0xe0, 0xe1, 0x96, 0x57, 0x7e, 0x05, 0x6c, 0xae, 0xaf, 0xa6, + 0x45, 0xdc, 0xa8, 0x36, 0x69, 0xa5, 0x13, 0x37, 0x4a, 0x16, 0x43, 0x11, + 0xab, 0x5b, 0xb6, 0xcf, 0x86, 0xb6, 0xf8, 0x44, 0xb9, 0x76, 0xe7, 0x1e, + 0x88, 0x99, 0x6f, 0xfe, 0xfb, 0x5c, 0xdb, 0x59, 0x4c, 0x26, 0xdb, 0x20, + 0x20, 0x97, 0x47, 0xda, 0x7b, 0x1d, 0xe9, 0x18, 0x1a, 0x89, 0x07, 0x3b, + 0xd1, 0xc8, 0x4c, 0xfd, 0xae, 0x35, 0x4c, 0xa0, 0x42, 0x94, 0x89, 0xc0, + 0xae, 0x2f, 0x94, 0x49, 0xd9, 0x7d, 0xb2, 0x4c, 0x50, 0x29, 0x46, 0x14, + 0x9a, 0x56, 0x49, 0x7a, 0x09, 0xa8, 0x95, 0x3a, 0x94, 0x06, 0x7c, 0xf0, + 0xea, 0x39, 0xcb, 0x33, 0xad, 0x28, 0xd1, 0x55, 0x02, 0xf5, 0x46, 0x0c, + 0x92, 0x12, 0x17, 0x05, 0x60, 0x97, 0xcd, 0x2f, 0x18, 0x5e, 0xe3, 0x41, + 0xe6, 0x46, 0x69, 0x27, 0x7d, 0x61, 0x00, 0x1e, 0x8d, 0x74, 0xa5, 0xc5, + 0xcb, 0xb9, 0xbc, 0x3f, 0x7a, 0x21, 0x23, 0x22, 0x1b, 0x15, 0x50, 0xb9, + 0x4b, 0x3b, 0x9f, 0xd5, 0xc0, 0x8c, 0xb9, 0x9d, 0x7e, 0xf4, 0x13, 0xc9, + 0x64, 0xe3, 0x7b, 0x44, 0xa7, 0x10, 0xad, 0x3c, 0xaf, 0xf0, 0x07, 0x8d, + 0x04, 0xc9, 0xa9, 0x36, 0x10, 0xb9, 0x8d, 0x7d, 0x43, 0x24, 0x7d, 0x8d, + 0x3c, 0x74, 0x58, 0x02, 0xb9, 0x4b, 0xe6, 0x6c, 0xa9, 0x9f, 0xdc, 0x50, + 0x5f, 0x62, 0x68, 0xc7, 0x14, 0xe7, 0x88, 0x33, 0x3e, 0x41, 0xad, 0x92, + 0x9d, 0x15, 0xd4, 0x77, 0xb9, 0xfb, 0x18, 0xd2, 0x8b, 0xb3, 0xc4, 0x0f, + 0x26, 0x04, 0xa4, 0xb1, 0xc1, 0x83, 0x96, 0x17, 0x67, 0x52, 0xa5, 0xfb, + 0x1b, 0x70, 0x20, 0x1c, 0x8c, 0x24, 0xc4, 0x5c, 0xd7, 0xe2, 0x12, 0xe3, + 0x31, 0x10, 0x4e, 0x85, 0xc2, 0xd2, 0x63, 0x3a, 0x75, 0xe0, 0x9e, 0x6f, + 0x78, 0x19, 0xb0, 0x40, 0x03, 0x32, 0x75, 0x6f, 0xea, 0x2f, 0x90, 0xb2, + 0x48, 0x79, 0xa1, 0xa0, 0x61, 0xf6, 0x13, 0xf3, 0x50, 0xa9, 0xec, 0x90, + 0x5d, 0xae, 0x45, 0x4f, 0x1b, 0x80, 0xd3, 0x96, 0x62, 0x05, 0x5b, 0x53, + 0x63, 0x99, 0xe5, 0xf2, 0x1b, 0xeb, 0x3e, 0x25, 0x2e, 0x72, 0xdb, 0x1f}; + +static const unsigned char prime_weak_4096[] = { + 0xff, 0x50, 0xd3, 0xcc, 0x89, 0x17, 0x5e, 0xb6, 0xf8, 0xa3, 0xb0, 0xe2, + 0xf9, 0x9f, 0x17, 0xa1, 0x92, 0x56, 0x15, 0x13, 0x12, 0x9f, 0x18, 0xdc, + 0x07, 0x00, 0xc2, 0x49, 0xc9, 0xd9, 0xd4, 0x0a, 0xe3, 0xd7, 0xf6, 0x60, + 0x21, 0xa9, 0x7b, 0xc0, 0x0f, 0x0e, 0xae, 0x3e, 0x77, 0x77, 0x48, 0xd8, + 0xfd, 0x42, 0xec, 0xb5, 0xae, 0x00, 0xab, 0xce, 0xd1, 0x11, 0xca, 0xd2, + 0x64, 0x5a, 0xa3, 0x6b, 0xba, 0xd1, 0x93, 0xea, 0xda, 0xd2, 0xa0, 0x60, + 0x39, 0x0b, 0x34, 0x4f, 0x0c, 0xf1, 0xb0, 0x52, 0x75, 0x51, 0x3d, 0x28, + 0x02, 0xb5, 0xbd, 0x42, 0x98, 0x20, 0xa7, 0x42, 0xb9, 0x21, 0x9a, 0xae, + 0xb6, 0x41, 0x7b, 0x70, 0xe3, 0xd9, 0xaf, 0x81, 0x1a, 0xc1, 0x39, 0x9c, + 0x52, 0x56, 0xcb, 0x0d, 0x6a, 0x67, 0x6f, 0x3d, 0x12, 0x76, 0x73, 0x53, + 0x95, 0x2d, 0xc1, 0x04, 0xdb, 0x83, 0xe4, 0xd0, 0xbe, 0x2d, 0xa6, 0x7a, + 0x0f, 0x80, 0x1b, 0xd0, 0x16, 0x14, 0x3a, 0xe0, 0x48, 0xfa, 0xf5, 0x44, + 0xa8, 0xe0, 0xbf, 0x98, 0xe1, 0x56, 0xea, 0x76, 0xb6, 0xe2, 0xa3, 0x5b, + 0x15, 0x79, 0x10, 0xb0, 0x41, 0xdc, 0x29, 0x0f, 0x1e, 0x37, 0x69, 0xcd, + 0x13, 0xbe, 0x2d, 0xe0, 0x73, 0x38, 0x68, 0xed, 0x50, 0x6a, 0xd0, 0xfb, + 0xcb, 0x17, 0x3a, 0x59, 0xfb, 0xec, 0xba, 0x75, 0xb6, 0x4e, 0x2f, 0x6e, + 0x97, 0x98, 0x0e, 0x79, 0x25, 0xdd, 0xd8, 0xf5, 0x34, 0xb4, 0xa0, 0x7e, + 0xba, 0x68, 0x7c, 0x4f, 0xfb, 0xe0, 0x97, 0x46, 0x50, 0x1e, 0x4a, 0x59, + 0x9c, 0xdc, 0x34, 0xe2, 0x2a, 0xb5, 0xc8, 0x58, 0x94, 0x48, 0x9f, 0xb8, + 0x36, 0xcb, 0xce, 0x36, 0xb1, 0x7c, 0xe5, 0x8d, 0x5b, 0x43, 0xd7, 0x88, + 0xdf, 0xae, 0xd0, 0xc9, 0x42, 0x5f, 0x0a, 0xe3, 0x63, 0x11, 0xc5, 0x0c, + 0x80, 0x55, 0x58, 0xd7, 0xf2, 0x51, 0x6e, 0xb3, 0x7e, 0x9d, 0x1c, 0xc3, + 0x61, 0x59, 0x5c, 0x47, 0xd4, 0x99, 0xc0, 0x67, 0xfb, 0xb2, 0xd6, 0x11, + 0xda, 0x92, 0x5b, 0x6b, 0xd2, 0x70, 0xb7, 0x69, 0x72, 0xe7, 0x06, 0xdd, + 0x40, 0xac, 0x81, 0x51, 0x1d, 0x52, 0x7a, 0x45, 0x38, 0x89, 0x27, 0x2c, + 0xc4, 0x4b, 0x7e, 0x5e, 0x79, 0xef, 0x84, 0x6a, 0x24, 0x4d, 0x9c, 0x9e, + 0xca, 0x75, 0x5c, 0x06, 0x6d, 0xd0, 0x52, 0xe9, 0xda, 0x9f, 0x46, 0xb6, + 0x62, 0x1d, 0xb3, 0xd9, 0xf2, 0x7d, 0xd6, 0xc2, 0x7a, 0x49, 0x7c, 0xdd, + 0x9b, 0xaa, 0xc3, 0x84, 0x0b, 0x08, 0x33, 0xb8, 0x80, 0xc3, 0x12, 0x8f, + 0xad, 0xac, 0x0f, 0x7f, 0xaf, 0x59, 0x61, 0x0d, 0x98, 0xc1, 0xf9, 0x68, + 0xc3, 0x1b, 0x10, 0x08, 0xc4, 0x33, 0x3c, 0xa4, 0xe2, 0xd5, 0xeb, 0x71, + 0x5d, 0x19, 0x7e, 0x05, 0xca, 0x9a, 0xf5, 0xbb, 0x71, 0x55, 0x83, 0x9c, + 0x25, 0x50, 0x35, 0x7f, 0x2d, 0xeb, 0xf2, 0x0d, 0xed, 0x3c, 0xb8, 0x71, + 0xbd, 0x08, 0xf5, 0x89, 0x7e, 0x5e, 0x38, 0x40, 0xd7, 0xed, 0x77, 0x8d, + 0x7a, 0xed, 0x2a, 0x9f, 0xfc, 0x01, 0xf4, 0xe2, 0xcf, 0xda, 0x8c, 0xa3, + 0x57, 0xdc, 0x14, 0xd6, 0xa1, 0xd9, 0x97, 0xb9, 0xe6, 0xfc, 0x48, 0x75, + 0x43, 0xbd, 0x3b, 0x91, 0x17, 0x3c, 0x33, 0xca, 0xce, 0x29, 0x09, 0x1b, + 0xe8, 0x9d, 0xb6, 0x74, 0x05, 0x5e, 0x2e, 0xa5, 0x1d, 0x7f, 0x3a, 0xa9, + 0x2c, 0xf6, 0x4d, 0x41, 0x90, 0xbc, 0x56, 0x18, 0x52, 0x02, 0x90, 0xef, + 0x71, 0xff, 0x3e, 0x0c, 0xf8, 0x00, 0x04, 0x07, 0xd5, 0x20, 0x26, 0xdd, + 0x5c, 0xb1, 0x37, 0x03, 0x20, 0x0c, 0xb4, 0xb6, 0x39, 0x49, 0x49, 0xaa, + 0xe7, 0x98, 0x01, 0xa2, 0x2e, 0x0a, 0x33, 0x82, 0x9e, 0xb9, 0x24, 0xb7, + 0x80, 0xdf, 0xd3, 0xdf, 0x04, 0xe4, 0x50, 0x9d}; + +static const unsigned char subprime_weak_4096[] = { + 0xcf, 0xd9, 0x38, 0x6d, 0x5b, 0x8d, 0x82, 0x9d, 0xa8, 0xe7, 0x9f, + 0x21, 0x46, 0xcc, 0x15, 0xea, 0x61, 0x31, 0x13, 0x5d, 0x50, 0xcd, + 0x99, 0x26, 0xf9, 0x44, 0x28, 0x44, 0xc8, 0xae, 0xb7, 0x8f}; + +static const unsigned char base_weak_4096[] = { + 0x55, 0xa1, 0x9d, 0x92, 0x16, 0x3d, 0x9c, 0xfa, 0xd7, 0x7c, 0x71, 0xea, + 0x29, 0x53, 0x9b, 0xdc, 0x8e, 0xa6, 0xbb, 0x06, 0xd5, 0x00, 0x5d, 0x6c, + 0x8e, 0x5d, 0x44, 0xb9, 0x13, 0x4b, 0x20, 0x92, 0x6d, 0x39, 0x9d, 0x34, + 0xaf, 0x9b, 0x12, 0x1d, 0xc5, 0xea, 0xb2, 0x89, 0x05, 0xa6, 0x49, 0x9f, + 0xd8, 0xf4, 0xba, 0x33, 0xab, 0x28, 0xf2, 0x2f, 0xf6, 0x49, 0x37, 0x0e, + 0xb2, 0xc6, 0x41, 0x8c, 0x91, 0x97, 0x07, 0xf8, 0xa3, 0x88, 0x12, 0x6b, + 0xe8, 0x85, 0x0e, 0x26, 0x0a, 0x79, 0xe2, 0x48, 0x1c, 0x5c, 0xee, 0x99, + 0x4b, 0xd1, 0xf7, 0xe8, 0xff, 0xae, 0x5b, 0xd1, 0xf4, 0x5e, 0x6a, 0x09, + 0xc2, 0xa0, 0xc3, 0x14, 0xe3, 0xc6, 0x25, 0x3e, 0xe4, 0xff, 0xd7, 0x38, + 0xb4, 0xf4, 0xda, 0xab, 0xde, 0x84, 0x08, 0xd3, 0x53, 0xce, 0xb9, 0x5f, + 0x41, 0x4a, 0x02, 0x9f, 0xe1, 0x90, 0x3a, 0x80, 0x2f, 0xc5, 0xbb, 0xcc, + 0x92, 0xa8, 0x76, 0xa4, 0x78, 0x32, 0x70, 0x50, 0x21, 0x54, 0x4a, 0x97, + 0x4b, 0x8f, 0x2f, 0x61, 0x66, 0x65, 0x57, 0x2e, 0xf3, 0x64, 0x0e, 0x7e, + 0xa0, 0xf7, 0xf7, 0x5a, 0x32, 0xd9, 0x88, 0xf7, 0x4c, 0x4b, 0xd6, 0x5a, + 0xe1, 0x82, 0xd7, 0x6e, 0x4d, 0xee, 0xa2, 0xf0, 0x4e, 0x3f, 0x26, 0xba, + 0xfa, 0xfb, 0xe2, 0x1d, 0x64, 0x19, 0x10, 0x77, 0x99, 0xf4, 0x02, 0x46, + 0x30, 0xb0, 0xb1, 0x4b, 0xb2, 0xbd, 0x2c, 0xd4, 0xf8, 0xf2, 0x7f, 0xaf, + 0xd6, 0x80, 0xa4, 0x16, 0x72, 0x39, 0x0b, 0x83, 0x7d, 0x1a, 0x03, 0xcf, + 0x0c, 0xdc, 0xaa, 0x9c, 0x21, 0x61, 0xef, 0x12, 0x92, 0xc5, 0x71, 0x50, + 0x7f, 0x66, 0xda, 0x28, 0x50, 0xfa, 0x18, 0x33, 0xb8, 0x86, 0x50, 0x1a, + 0x8e, 0x6b, 0x6f, 0xd3, 0xe2, 0x7d, 0x6e, 0x3f, 0x6d, 0x9b, 0x26, 0x33, + 0x98, 0x82, 0x95, 0x2a, 0xdf, 0x11, 0xf8, 0xb6, 0x05, 0x10, 0x3d, 0x39, + 0x23, 0x28, 0x4a, 0x35, 0x72, 0xc4, 0x7f, 0x47, 0x5a, 0x0b, 0xcb, 0xed, + 0x54, 0xd3, 0x81, 0xdf, 0xd7, 0x0c, 0xf6, 0xbe, 0xca, 0x8e, 0xac, 0x22, + 0x67, 0xd4, 0xf9, 0xcb, 0xaf, 0xe6, 0x42, 0x58, 0x97, 0x0f, 0x24, 0xdf, + 0xb8, 0x85, 0xbe, 0x34, 0xd7, 0x68, 0xfa, 0xbf, 0xc5, 0xcb, 0x61, 0x8b, + 0xbf, 0xa8, 0xf7, 0x64, 0xee, 0xf3, 0x8d, 0xf7, 0x5b, 0x6e, 0xe8, 0x07, + 0xa0, 0x6d, 0xb5, 0x75, 0xa2, 0x33, 0x1f, 0xe0, 0x3e, 0x82, 0xc0, 0xef, + 0xeb, 0x6a, 0x8a, 0xba, 0x87, 0xb4, 0x44, 0x66, 0xb2, 0xe7, 0x06, 0xa5, + 0x5a, 0x02, 0x26, 0xa7, 0x8d, 0x57, 0xa7, 0x28, 0x62, 0x20, 0x0e, 0x3b, + 0xff, 0x90, 0xca, 0x9e, 0x95, 0xdf, 0xf3, 0x63, 0x8c, 0xc0, 0xd6, 0x1b, + 0xaa, 0x5e, 0x66, 0x54, 0xb2, 0x77, 0x4d, 0xd4, 0xd3, 0x99, 0xeb, 0xba, + 0xc1, 0x3c, 0xe3, 0xf7, 0x48, 0x65, 0x9f, 0xb3, 0x0c, 0x96, 0x3f, 0x3b, + 0x2f, 0x10, 0x80, 0x8f, 0x59, 0x49, 0xa0, 0x26, 0x68, 0xf9, 0x8e, 0x0b, + 0x66, 0x6e, 0xc1, 0x57, 0x77, 0x5d, 0xc7, 0x4b, 0x3b, 0x73, 0xa7, 0x75, + 0x80, 0x0d, 0x93, 0x36, 0x62, 0xf5, 0x5f, 0xa0, 0x71, 0x72, 0x54, 0x33, + 0x3b, 0xc8, 0xee, 0x68, 0x70, 0xdc, 0x1e, 0x39, 0x04, 0x1e, 0x98, 0xd4, + 0x7f, 0x57, 0x0e, 0x5d, 0x6e, 0x3f, 0x27, 0xc1, 0x7d, 0x50, 0x13, 0x5b, + 0x31, 0xfe, 0x7b, 0x12, 0xd5, 0x42, 0xda, 0x8d, 0x0e, 0x69, 0xcc, 0xa1, + 0xc4, 0x90, 0xf5, 0x37, 0x13, 0x20, 0x42, 0x74, 0xea, 0x79, 0xde, 0x84, + 0x6d, 0x8e, 0xcf, 0x57, 0x0b, 0x9f, 0xa6, 0x1d, 0xbe, 0x42, 0xb2, 0x47, + 0xf8, 0x7e, 0x51, 0x2e, 0x8b, 0x5e, 0x7d, 0x3d, 0x98, 0x1e, 0x43, 0x2b, + 0x32, 0x2f, 0xcb, 0x64, 0xd9, 0x43, 0x2b, 0xae}; + +static const unsigned char prime_weak_6144[] = { + 0xa2, 0x24, 0x96, 0xb6, 0x21, 0x68, 0xd5, 0x7e, 0x2c, 0x60, 0x4d, 0xc8, + 0x81, 0x59, 0x9c, 0x1c, 0x70, 0xec, 0x24, 0x28, 0xb6, 0x52, 0x36, 0x09, + 0x87, 0xaa, 0xc1, 0x5b, 0xe5, 0xa6, 0x3e, 0x88, 0x54, 0x05, 0xe3, 0x09, + 0x09, 0xca, 0x6d, 0x9b, 0xc4, 0x8d, 0x26, 0xaf, 0xd7, 0xee, 0x9f, 0x0d, + 0xbd, 0x44, 0x8e, 0xfe, 0xcd, 0xf2, 0xe6, 0xde, 0xac, 0xf2, 0x02, 0x37, + 0xdc, 0x35, 0xc2, 0xce, 0xcd, 0x5f, 0xc5, 0x87, 0x0f, 0x99, 0xa7, 0xdb, + 0x0f, 0x1a, 0xcd, 0x76, 0xaa, 0x4a, 0xa5, 0x09, 0x60, 0x60, 0xe3, 0x58, + 0xe4, 0x52, 0x07, 0x1b, 0x42, 0x17, 0x11, 0x50, 0x2b, 0x40, 0x95, 0x8d, + 0x48, 0xa0, 0x34, 0x95, 0x25, 0x38, 0xcf, 0x09, 0x94, 0xe6, 0x55, 0x06, + 0x8a, 0xde, 0xdc, 0x41, 0x4a, 0xd9, 0x1f, 0x80, 0x82, 0x1d, 0xb8, 0x1e, + 0x84, 0x60, 0xde, 0xed, 0x4f, 0xc0, 0xd8, 0x1d, 0x54, 0xda, 0xb3, 0xf3, + 0x0e, 0x54, 0x3f, 0x18, 0x88, 0xff, 0x25, 0x31, 0xc6, 0x16, 0xe6, 0x70, + 0xfa, 0xc4, 0x08, 0xfc, 0x00, 0x8b, 0xf6, 0x9d, 0x29, 0x8a, 0x59, 0x49, + 0xed, 0x5c, 0x34, 0x7a, 0x84, 0x79, 0x40, 0xc1, 0x7e, 0x82, 0x17, 0x36, + 0xc8, 0x96, 0xb5, 0xd2, 0xf9, 0xdb, 0xc0, 0x10, 0x9f, 0xf8, 0x95, 0x35, + 0x6f, 0xb0, 0xb9, 0x48, 0x88, 0xdc, 0xf0, 0x4d, 0x30, 0xcd, 0x15, 0xfd, + 0x2f, 0xba, 0x18, 0xcc, 0x94, 0x50, 0x3f, 0xfe, 0x60, 0x3d, 0x7a, 0x46, + 0xef, 0xc4, 0xcd, 0x14, 0xe0, 0xef, 0x97, 0x81, 0xa1, 0x95, 0xe3, 0xa5, + 0x91, 0x9a, 0xf7, 0x9f, 0x7c, 0xfa, 0x0c, 0x69, 0xb6, 0xdf, 0xdb, 0xaf, + 0x31, 0xd8, 0xa8, 0x77, 0x6a, 0xba, 0xba, 0x80, 0xff, 0x3f, 0x5f, 0x86, + 0x9f, 0x80, 0x03, 0x1e, 0xd0, 0x5f, 0x37, 0x50, 0x61, 0xfc, 0x03, 0xd8, + 0x93, 0xa1, 0x79, 0x62, 0xfa, 0x92, 0xb8, 0x4a, 0x66, 0x99, 0xd7, 0x85, + 0x8d, 0x0f, 0x07, 0x02, 0x03, 0x83, 0x8c, 0x20, 0xa5, 0x9c, 0x2f, 0xfd, + 0x22, 0x5a, 0xf0, 0x95, 0x1e, 0xbf, 0x17, 0xf1, 0x3a, 0x40, 0x7f, 0xce, + 0x94, 0x62, 0x5f, 0x58, 0xe5, 0xf3, 0x99, 0x8c, 0x38, 0x8f, 0x05, 0x10, + 0x68, 0xea, 0x41, 0xb5, 0xc0, 0x6f, 0x4f, 0x63, 0x87, 0x1d, 0x98, 0xc3, + 0x31, 0x66, 0x1e, 0x9f, 0x2d, 0x3c, 0x6e, 0x9f, 0xb3, 0xcf, 0x8e, 0x77, + 0xf5, 0x3c, 0x51, 0x5a, 0xee, 0x82, 0xa1, 0xc5, 0x53, 0x20, 0x75, 0xd1, + 0xa8, 0x02, 0x37, 0x43, 0x08, 0x16, 0x05, 0x01, 0xed, 0xea, 0xf1, 0x52, + 0x58, 0x20, 0x94, 0x85, 0x05, 0x2e, 0x48, 0x3f, 0x47, 0x49, 0x4f, 0x01, + 0x44, 0xbd, 0x1e, 0x42, 0xea, 0x90, 0x90, 0x23, 0x99, 0x05, 0xfd, 0x37, + 0x41, 0x0c, 0x2f, 0xc4, 0x20, 0x04, 0x99, 0xee, 0x0f, 0xbb, 0xc2, 0x6d, + 0x0a, 0x7f, 0x24, 0x5a, 0x17, 0xa4, 0xeb, 0x9c, 0x67, 0xfe, 0x64, 0x0d, + 0xea, 0xb7, 0x20, 0x48, 0x40, 0x3b, 0x25, 0xed, 0x51, 0x5c, 0xfc, 0x20, + 0x18, 0xb6, 0xfc, 0x3e, 0xdb, 0xd9, 0xa1, 0xbd, 0x9e, 0xee, 0xcb, 0x5d, + 0x02, 0xfe, 0x7f, 0x42, 0x9d, 0xc9, 0xce, 0xfa, 0xe1, 0xd8, 0xf2, 0x05, + 0x67, 0x35, 0x88, 0x4e, 0xd7, 0x70, 0x97, 0x63, 0xb5, 0x0c, 0x60, 0x89, + 0xc0, 0xfe, 0x32, 0xd7, 0xae, 0x4b, 0xf1, 0x0a, 0xae, 0x3c, 0xde, 0x18, + 0x9c, 0x1d, 0xd2, 0xda, 0xf2, 0x02, 0x8d, 0xf1, 0x07, 0xd6, 0x5e, 0xb7, + 0xba, 0xaf, 0x81, 0x97, 0xee, 0xe0, 0x9d, 0x51, 0xf3, 0x1d, 0xc1, 0x5d, + 0x43, 0xe2, 0x0b, 0x0c, 0x9c, 0x0d, 0x74, 0x91, 0x20, 0x6f, 0x65, 0xf1, + 0xf2, 0x84, 0x02, 0x38, 0xb5, 0xe5, 0x10, 0x21, 0xfc, 0xe6, 0xc3, 0x4b, + 0x60, 0x49, 0x6a, 0xf1, 0xd5, 0x50, 0x0f, 0x6f, 0x8b, 0x1e, 0x80, 0xf3, + 0x5d, 0x29, 0xee, 0x60, 0xab, 0x26, 0xa5, 0x8c, 0xc4, 0x4c, 0xcb, 0xa6, + 0xaa, 0xe3, 0xfe, 0xd1, 0x67, 0x48, 0xb4, 0xfa, 0xbf, 0x57, 0xfe, 0x62, + 0x85, 0xa0, 0xac, 0xdc, 0x4e, 0x71, 0x01, 0xcc, 0x12, 0xec, 0x80, 0x95, + 0x54, 0xdc, 0x14, 0x9e, 0x20, 0xda, 0x5a, 0xbd, 0xee, 0x76, 0xbe, 0x39, + 0xcf, 0xbd, 0x8a, 0xe3, 0x0e, 0x71, 0x85, 0xe4, 0x3c, 0x62, 0x3b, 0xf8, + 0x6e, 0x70, 0xd4, 0xd6, 0x2e, 0xe0, 0x5e, 0x11, 0x9d, 0x33, 0xd9, 0x30, + 0xff, 0x3b, 0xcc, 0x2a, 0x39, 0xc4, 0x6f, 0xfd, 0xca, 0x88, 0xad, 0x28, + 0xa2, 0xe8, 0xa8, 0xd7, 0xe6, 0x08, 0x0d, 0xaf, 0x9d, 0xd8, 0xc8, 0x41, + 0x66, 0x84, 0x66, 0x86, 0x2b, 0x81, 0x3b, 0x6c, 0xc6, 0x76, 0x27, 0x6a, + 0x0d, 0x96, 0x0e, 0x65, 0x3e, 0xdf, 0xf5, 0x68, 0x04, 0x9d, 0x2d, 0x26, + 0x8b, 0xca, 0x0a, 0x79, 0x2a, 0xb4, 0xa0, 0xb3, 0x18, 0x4a, 0xea, 0x6a, + 0xd2, 0x14, 0xcd, 0x47, 0x85, 0x9f, 0x86, 0xd7, 0xde, 0xaa, 0x1e, 0x0e, + 0x71, 0x13, 0xec, 0xfe, 0x7c, 0x69, 0xbf, 0x22, 0xf0, 0x61, 0x50, 0x97, + 0x77, 0xc2, 0x2b, 0x31, 0x89, 0x11, 0xd6, 0x08, 0xb1, 0xd4, 0xce, 0xba, + 0xa0, 0x16, 0x9c, 0x2b, 0x8b, 0x3e, 0x17, 0xd8, 0xea, 0xe1, 0xf1, 0x20, + 0x7f, 0x3e, 0x76, 0x9f, 0x2f, 0x46, 0xc3, 0xaf, 0xc4, 0xba, 0xc9, 0x63, + 0xf7, 0xbb, 0x98, 0x6d, 0x60, 0x16, 0x04, 0x14, 0xc2, 0xed, 0x2e, 0xc3, + 0x00, 0x4f, 0x8f, 0x9d, 0xc6, 0xd9, 0xcd, 0xc1, 0xab, 0x4e, 0x67, 0xed, + 0xf8, 0xd2, 0x62, 0x13, 0xfa, 0x11, 0x31, 0xbb, 0x08, 0xdd, 0x4e, 0x89, + 0x4a, 0xff, 0x07, 0x89, 0xb5, 0x6c, 0xc3, 0xfe, 0x76, 0x6d, 0x10, 0x4c, + 0x1e, 0x10, 0x55, 0x22, 0x95, 0xfe, 0x09, 0xa5, 0x6e, 0x73, 0x0c, 0x2b}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +static const unsigned char subprime_weak_6144[] = { + 0xa8, 0x61, 0x65, 0x91, 0xb2, 0x43, 0xe3, 0x04, 0x25, 0x77, 0xb0, + 0x5a, 0xc5, 0xb1, 0x50, 0x19, 0x31, 0x2a, 0xd4, 0x79, 0x93, 0xc4, + 0x90, 0x9b, 0x27, 0xf1, 0x1e, 0xbb, 0x6e, 0x08, 0x98, 0xb1}; +#endif + +static const unsigned char base_weak_6144[] = { + 0x34, 0xc2, 0xb2, 0x1f, 0xd9, 0x4e, 0xb6, 0xfd, 0x6c, 0x01, 0x47, 0xb9, + 0x50, 0xf1, 0xbe, 0x07, 0x1c, 0xdd, 0x67, 0xa2, 0xf1, 0x7c, 0x0d, 0xe5, + 0x9b, 0x7c, 0x9e, 0x0e, 0xd9, 0xf8, 0x81, 0xa1, 0xcf, 0x12, 0x28, 0x69, + 0xcd, 0xdf, 0x8a, 0x91, 0xad, 0x53, 0x0e, 0x31, 0x0c, 0xff, 0x4f, 0xaa, + 0x4f, 0x24, 0xa3, 0xd8, 0xc5, 0x56, 0xef, 0x21, 0xd6, 0x03, 0xcc, 0x87, + 0xab, 0xde, 0x7b, 0xbb, 0xbc, 0x1c, 0x91, 0xd4, 0x1d, 0x08, 0xe8, 0x26, + 0xba, 0x6e, 0x0c, 0x17, 0x1f, 0xb1, 0x29, 0x17, 0x04, 0x6c, 0x84, 0xd5, + 0x43, 0xc1, 0x35, 0xfd, 0x5a, 0x03, 0xd2, 0x9f, 0x30, 0xf7, 0xa5, 0xd5, + 0xb3, 0xc7, 0x5e, 0x00, 0x51, 0x31, 0x49, 0xec, 0x9b, 0xdd, 0x51, 0xee, + 0x84, 0xf4, 0x5f, 0xbe, 0x81, 0x23, 0x1e, 0xae, 0x99, 0x08, 0xdb, 0x26, + 0x41, 0xea, 0xcb, 0x7f, 0x40, 0xf6, 0x7b, 0x7f, 0xf7, 0x45, 0xcc, 0x7c, + 0x05, 0x35, 0xa8, 0x9f, 0x5a, 0x61, 0xf2, 0x71, 0xd4, 0x9b, 0x36, 0x19, + 0x69, 0xcd, 0x15, 0x06, 0x7a, 0xd7, 0x65, 0x04, 0x23, 0xa1, 0xf0, 0x18, + 0x16, 0xb1, 0x33, 0x45, 0x22, 0x14, 0xce, 0xc2, 0xfa, 0x6f, 0x5e, 0x4e, + 0x80, 0xc0, 0x99, 0x82, 0x6c, 0x2e, 0x6e, 0xaa, 0x0f, 0x5d, 0x60, 0xdc, + 0xc0, 0x91, 0x8f, 0x8b, 0xdd, 0x6c, 0xd2, 0xc2, 0x2e, 0x7a, 0xb6, 0x97, + 0x0a, 0x9c, 0x3c, 0x98, 0xe2, 0xd1, 0x5f, 0x6e, 0x1c, 0xbd, 0xb5, 0xdc, + 0x59, 0x3e, 0xb8, 0x94, 0x22, 0x89, 0x80, 0x0f, 0x75, 0x87, 0x18, 0x58, + 0x14, 0xb8, 0xa0, 0x80, 0x04, 0x33, 0x31, 0x34, 0x96, 0xd8, 0x0c, 0xc6, + 0xfd, 0xd0, 0x2b, 0xee, 0x52, 0xbf, 0x1f, 0x77, 0xfd, 0x18, 0xba, 0x77, + 0xb4, 0xf7, 0xcc, 0xc6, 0x5d, 0x50, 0x10, 0x94, 0xd8, 0x99, 0xce, 0x8d, + 0x2c, 0xc0, 0xa1, 0xd1, 0x44, 0xde, 0x90, 0x77, 0x45, 0x6a, 0x52, 0xbe, + 0x02, 0x8d, 0x21, 0x98, 0x76, 0xc9, 0x78, 0x31, 0x84, 0x21, 0xc6, 0x7d, + 0xb5, 0xcd, 0x65, 0x1e, 0x33, 0xea, 0x26, 0xe1, 0x5c, 0x1b, 0x4d, 0x66, + 0xc7, 0x08, 0xc9, 0xd5, 0x83, 0x8a, 0x2e, 0x80, 0x1c, 0xb8, 0x4d, 0x5f, + 0xf0, 0x28, 0x10, 0x02, 0x08, 0xd4, 0xe9, 0x87, 0xff, 0x5e, 0xe6, 0x39, + 0x4a, 0x40, 0xe6, 0x96, 0x64, 0xe5, 0x99, 0xbd, 0x69, 0xd3, 0x9a, 0xc6, + 0x0f, 0xea, 0x99, 0x34, 0x16, 0x06, 0x8d, 0xc4, 0xe9, 0x1e, 0x30, 0x31, + 0xa3, 0x23, 0xf2, 0xf6, 0x34, 0x65, 0x28, 0xe4, 0x6e, 0xfc, 0x85, 0x27, + 0xa2, 0x59, 0xb0, 0x19, 0x32, 0x7b, 0x07, 0x7b, 0x71, 0xa8, 0xb2, 0x9d, + 0x49, 0x14, 0xcd, 0xe5, 0x4e, 0x58, 0x34, 0xa8, 0x33, 0x7d, 0x99, 0xb8, + 0x48, 0x54, 0x1a, 0xc0, 0xd4, 0xb1, 0xaa, 0x15, 0x00, 0xe8, 0x7e, 0x9e, + 0x02, 0xcc, 0xde, 0x93, 0xe8, 0x73, 0x92, 0xf3, 0x3d, 0x99, 0x04, 0x21, + 0xc2, 0xa9, 0xb8, 0x1c, 0xfd, 0x9a, 0xfd, 0x30, 0xb4, 0x85, 0x5b, 0xbb, + 0x48, 0x0a, 0x7d, 0xfe, 0xc9, 0x49, 0x72, 0xdd, 0xbe, 0x6c, 0x3a, 0x2b, + 0x64, 0xc5, 0x85, 0xa8, 0xb4, 0x7c, 0x3a, 0xcb, 0x5f, 0x59, 0x62, 0xd6, + 0x2b, 0x62, 0x2d, 0xdb, 0x77, 0x96, 0x29, 0x9b, 0x75, 0x21, 0x4a, 0xaa, + 0xff, 0x19, 0xe4, 0x95, 0x2b, 0x7f, 0xec, 0xcb, 0x49, 0xd9, 0xa0, 0x70, + 0xc8, 0x5f, 0x0a, 0x5f, 0x27, 0x05, 0xf2, 0xff, 0xaa, 0x94, 0x47, 0x75, + 0x22, 0xf0, 0xe9, 0x29, 0x05, 0x45, 0x08, 0xb8, 0x24, 0xa5, 0x89, 0x0a, + 0xd4, 0x94, 0xfc, 0xe8, 0x55, 0x67, 0x1f, 0x16, 0x0e, 0x0f, 0xdb, 0xdf, + 0xcf, 0x4a, 0xba, 0x8f, 0x57, 0x4a, 0xf2, 0xe7, 0x8c, 0xe1, 0xe9, 0x5c, + 0x4a, 0xae, 0x2e, 0x85, 0x47, 0x93, 0x57, 0x6f, 0xb1, 0xea, 0xad, 0xaa, + 0x38, 0x52, 0x81, 0xe0, 0x14, 0xed, 0x16, 0xc5, 0xd3, 0xef, 0x70, 0x28, + 0x7e, 0x64, 0x52, 0xe2, 0x4a, 0x84, 0xdb, 0x44, 0x77, 0x87, 0x4e, 0x39, + 0x89, 0x73, 0x96, 0x3f, 0x5a, 0xfa, 0xb3, 0xa2, 0x88, 0x3d, 0x66, 0x41, + 0xbf, 0xdb, 0xa9, 0xb0, 0xbf, 0xec, 0x6f, 0x86, 0x25, 0x7f, 0x58, 0xce, + 0xc9, 0xa0, 0x1c, 0x3d, 0xf0, 0x0e, 0x08, 0xa7, 0x6e, 0x85, 0x15, 0x7f, + 0x0f, 0x5c, 0x1d, 0xfd, 0xfa, 0x86, 0x02, 0x73, 0x75, 0x21, 0xe4, 0xb4, + 0x98, 0x57, 0x87, 0x16, 0xbf, 0xd4, 0xdf, 0xd3, 0x5e, 0x62, 0x3b, 0x52, + 0xc4, 0xd6, 0xee, 0xed, 0x07, 0x51, 0x3f, 0x31, 0x50, 0x04, 0xc6, 0x8b, + 0xea, 0xfa, 0x04, 0x10, 0x54, 0xa9, 0x1a, 0xf1, 0x5c, 0x5e, 0xb0, 0x3a, + 0xf3, 0xcc, 0x65, 0xb1, 0x01, 0x98, 0x8e, 0x96, 0x6d, 0x55, 0x5f, 0x5b, + 0xfb, 0x09, 0xfa, 0x1f, 0x4c, 0x03, 0x11, 0x6f, 0xb9, 0x69, 0xfd, 0x8c, + 0x7a, 0xf6, 0x16, 0x51, 0x9f, 0xc0, 0xdf, 0x42, 0x91, 0xc8, 0xd5, 0x7c, + 0x58, 0xd3, 0xac, 0xdc, 0x53, 0xb4, 0x38, 0xe9, 0xbc, 0x76, 0x1e, 0x9b, + 0xf8, 0x53, 0x5c, 0xd2, 0xea, 0x11, 0xa0, 0x7e, 0x24, 0x36, 0x12, 0xff, + 0xac, 0x4f, 0x9d, 0x2d, 0xdc, 0x2a, 0x2b, 0xf7, 0xb6, 0x79, 0x1a, 0xa3, + 0x59, 0x09, 0x34, 0x56, 0x04, 0x8f, 0xfe, 0x1b, 0x3d, 0xf9, 0x73, 0xd1, + 0xc7, 0x30, 0x3d, 0x97, 0xc5, 0x2f, 0x4b, 0x0b, 0x66, 0xad, 0x4b, 0x4a, + 0xcd, 0xc9, 0x2d, 0xaa, 0xdd, 0x3a, 0x9a, 0x22, 0x89, 0x4c, 0x8c, 0xc6, + 0x1e, 0xbd, 0xa4, 0xbd, 0x43, 0x0b, 0x52, 0xfb, 0xcd, 0x07, 0x04, 0x43, + 0x77, 0xf7, 0x11, 0x7a, 0x70, 0x4f, 0x4a, 0xae, 0xb3, 0x7b, 0x99, 0x7e, + 0x90, 0x17, 0x8b, 0xca, 0x77, 0xfc, 0x15, 0x4b, 0xda, 0xc1, 0x7c, 0x56}; + +static const unsigned char prime_weak_8192[] = { + 0x93, 0xdf, 0x6d, 0x37, 0xdc, 0x2a, 0xa4, 0xab, 0x5d, 0xdc, 0x73, 0x42, + 0x12, 0x18, 0x8f, 0x39, 0x47, 0x73, 0xf5, 0x3e, 0xbc, 0x6e, 0x0d, 0x2a, + 0x68, 0x5d, 0x53, 0x4f, 0x22, 0x8c, 0xa8, 0xa8, 0x4a, 0xac, 0x6a, 0x60, + 0x54, 0xca, 0x1a, 0x75, 0xda, 0x85, 0x02, 0x5e, 0x80, 0xbb, 0x9b, 0x5a, + 0x74, 0x96, 0x69, 0xc2, 0x7c, 0x84, 0x1f, 0x76, 0x0d, 0x53, 0xe4, 0x0b, + 0x32, 0xf3, 0x4b, 0xf6, 0x92, 0x5b, 0x2c, 0x98, 0x5d, 0xa9, 0x60, 0xdc, + 0x17, 0x5b, 0xfb, 0xb5, 0x0e, 0x38, 0xae, 0x63, 0x16, 0x79, 0xa4, 0xc5, + 0x76, 0x74, 0x20, 0x97, 0x5b, 0xdc, 0xa9, 0x88, 0xd1, 0x14, 0x46, 0x3e, + 0x1d, 0xe6, 0xca, 0xb5, 0x38, 0x57, 0xfd, 0xeb, 0x66, 0x2a, 0xfa, 0x8c, + 0x30, 0x07, 0xea, 0xb4, 0xbc, 0x79, 0x33, 0x14, 0xdf, 0x8f, 0x1d, 0x60, + 0x47, 0xc7, 0x23, 0xd9, 0x7f, 0xe3, 0x1c, 0x94, 0xa9, 0xbb, 0x2d, 0x1b, + 0x37, 0x64, 0x20, 0xcf, 0x68, 0x52, 0x39, 0xd9, 0x6f, 0x23, 0x50, 0xb2, + 0x67, 0xc8, 0x47, 0xaa, 0x39, 0x96, 0xd2, 0xfd, 0x9b, 0x9c, 0x86, 0x71, + 0xd8, 0x7c, 0x67, 0xb5, 0x7a, 0x9d, 0x4f, 0xf8, 0x8f, 0x34, 0x64, 0xcb, + 0xdb, 0x85, 0x11, 0x97, 0x86, 0xf7, 0xa1, 0x19, 0x2a, 0x10, 0x7a, 0xf2, + 0x15, 0x1b, 0x0c, 0x6e, 0x64, 0xf1, 0x18, 0x53, 0xf9, 0x9a, 0xdd, 0x7c, + 0x0d, 0x7c, 0x3d, 0x39, 0x9c, 0xa3, 0xc5, 0xf8, 0x68, 0x6f, 0xb4, 0x35, + 0xf8, 0x1d, 0xb8, 0xc8, 0xab, 0xea, 0x58, 0xf3, 0xbb, 0x78, 0xf3, 0xe2, + 0xa6, 0x16, 0xb3, 0x4a, 0x0a, 0x56, 0x5b, 0x44, 0xac, 0xcb, 0x66, 0x5d, + 0xa3, 0x62, 0x71, 0x91, 0x05, 0xd4, 0x97, 0x72, 0x33, 0x77, 0x43, 0x31, + 0x35, 0x9c, 0x43, 0xb8, 0xd5, 0x85, 0xdb, 0x8e, 0x28, 0xcb, 0x29, 0x98, + 0xb7, 0xfe, 0x6a, 0xf6, 0x08, 0x89, 0x82, 0xfc, 0xe6, 0x5d, 0x62, 0x68, + 0x55, 0xac, 0x3b, 0x9d, 0x82, 0xcd, 0x06, 0x10, 0x53, 0x93, 0x1d, 0x66, + 0x6a, 0xce, 0x63, 0x2c, 0x49, 0x36, 0xf3, 0x0d, 0x1c, 0x3f, 0x24, 0xd0, + 0x7f, 0xb2, 0xa0, 0xcf, 0x76, 0x2a, 0x16, 0xa2, 0x6f, 0x6b, 0xf4, 0xfe, + 0xb5, 0xca, 0x99, 0x44, 0x7c, 0xfc, 0x3b, 0xc1, 0xe4, 0x09, 0xf5, 0x7b, + 0x6d, 0x6c, 0xa1, 0x15, 0x10, 0x00, 0x4c, 0x75, 0x4d, 0x2a, 0x80, 0x95, + 0x90, 0x9a, 0x15, 0x5e, 0x77, 0x28, 0x8e, 0x83, 0x40, 0x85, 0x1f, 0x2d, + 0x70, 0x17, 0xa0, 0xb0, 0x7d, 0xe5, 0xfa, 0x81, 0x51, 0xbe, 0xb4, 0x16, + 0xf6, 0x54, 0x9f, 0x0e, 0xa3, 0xe2, 0x1e, 0x5e, 0x9b, 0x1c, 0xda, 0x0e, + 0x9f, 0x93, 0x5c, 0xf4, 0x43, 0xbd, 0x9c, 0x1e, 0x16, 0x67, 0xb5, 0x42, + 0x94, 0x70, 0xf8, 0x79, 0x0c, 0x2d, 0x48, 0xc1, 0x24, 0xc5, 0xc6, 0xa9, + 0x64, 0x0c, 0x44, 0xec, 0x99, 0xae, 0xb5, 0xe7, 0xc1, 0x24, 0x8a, 0x6c, + 0xd1, 0xa2, 0xbf, 0x4c, 0x6b, 0x0b, 0xe9, 0xf0, 0x98, 0x3d, 0xc7, 0x9c, + 0xe1, 0x8d, 0x1a, 0xde, 0xc4, 0x44, 0x43, 0xc6, 0xbf, 0x38, 0x62, 0x25, + 0x91, 0x42, 0x84, 0x01, 0x28, 0xcb, 0x80, 0xbc, 0x39, 0x4c, 0xc3, 0x3f, + 0xf6, 0xdf, 0xe1, 0xe6, 0xc9, 0x77, 0x35, 0x57, 0x2f, 0x89, 0x9d, 0xfa, + 0xaf, 0x37, 0xd6, 0x33, 0x71, 0x34, 0xff, 0x52, 0x28, 0xb3, 0x3c, 0x96, + 0x68, 0x10, 0x12, 0xc9, 0xbe, 0x18, 0x03, 0xcd, 0xef, 0x27, 0x0a, 0xd1, + 0xc9, 0x0e, 0x49, 0x01, 0x22, 0x73, 0xdb, 0x5f, 0x11, 0x75, 0x6d, 0xea, + 0x16, 0xda, 0x26, 0x7f, 0x3e, 0x7c, 0xcb, 0x62, 0xcf, 0xcc, 0x8d, 0xd6, + 0xea, 0xce, 0x26, 0x44, 0xa4, 0x74, 0x54, 0x4e, 0x2b, 0x15, 0xba, 0x9d, + 0xa1, 0x39, 0xe8, 0xfd, 0xe0, 0x29, 0xf0, 0xd7, 0xaa, 0x30, 0x6b, 0xd7, + 0x14, 0x3c, 0xa0, 0x04, 0xbc, 0xed, 0x82, 0xcb, 0xc9, 0xdb, 0x4f, 0x20, + 0x05, 0x6e, 0x45, 0x79, 0xdd, 0x5b, 0x3d, 0x5e, 0xee, 0xf1, 0xc3, 0xaa, + 0xb3, 0xd3, 0x3a, 0x47, 0xac, 0xe3, 0x12, 0xa1, 0xd5, 0xf4, 0x24, 0xe5, + 0x6c, 0xe4, 0x9f, 0xb4, 0xca, 0x96, 0x49, 0x51, 0x36, 0x3b, 0xa4, 0xa2, + 0xd6, 0x2e, 0x42, 0x23, 0x32, 0x8c, 0xc8, 0x83, 0xea, 0x14, 0xd1, 0x08, + 0x09, 0x8f, 0xdb, 0x4c, 0xc2, 0x00, 0x44, 0x06, 0x81, 0xd4, 0x11, 0x5d, + 0x2b, 0x1e, 0x37, 0x80, 0xaa, 0xb9, 0x88, 0xfa, 0xab, 0xd2, 0x76, 0x2e, + 0x03, 0xb8, 0x3b, 0x0b, 0xfc, 0x01, 0x96, 0xe3, 0x62, 0x00, 0x71, 0x13, + 0xe8, 0xfb, 0x78, 0xce, 0x39, 0x06, 0xa1, 0x44, 0xdd, 0x61, 0x6a, 0x56, + 0xb2, 0xcd, 0xcb, 0xec, 0x67, 0x24, 0x28, 0x7d, 0x39, 0x80, 0x37, 0xcb, + 0x95, 0x49, 0x96, 0xe9, 0x3f, 0xb7, 0x89, 0xeb, 0x11, 0x7c, 0x34, 0x49, + 0x36, 0x2c, 0xec, 0x82, 0xb6, 0x3c, 0xa9, 0x9a, 0xd3, 0xb8, 0xab, 0xb9, + 0x28, 0x2f, 0x97, 0x71, 0x04, 0xa8, 0x86, 0x2b, 0x43, 0xb6, 0x27, 0x51, + 0x8a, 0xe0, 0xa3, 0x98, 0xe7, 0x33, 0x32, 0xfe, 0x18, 0xb9, 0x38, 0x95, + 0x78, 0x17, 0xbe, 0x43, 0xa0, 0x08, 0x8b, 0x05, 0x8d, 0x56, 0xd7, 0x4e, + 0x61, 0x01, 0x00, 0x05, 0x12, 0x6d, 0x13, 0x95, 0xea, 0xce, 0xdc, 0xbf, + 0xc4, 0x74, 0x20, 0x89, 0x28, 0x05, 0xd2, 0x97, 0xc3, 0x35, 0x24, 0x6d, + 0x43, 0xdd, 0xe2, 0x9f, 0x15, 0x80, 0xee, 0xdd, 0xcd, 0x8a, 0x88, 0xc5, + 0x92, 0xda, 0x1d, 0xd9, 0xd0, 0xb8, 0xfd, 0x18, 0xcc, 0x58, 0x1b, 0xca, + 0x3b, 0xcc, 0x9e, 0xcd, 0x53, 0x61, 0x68, 0xf5, 0xbb, 0x2d, 0x02, 0x55, + 0x2b, 0x93, 0x9f, 0x18, 0x17, 0x20, 0xb1, 0x54, 0xe0, 0xfe, 0x3e, 0x6a, + 0x10, 0x7f, 0xee, 0x60, 0x7c, 0xcb, 0x14, 0x82, 0x68, 0xed, 0x08, 0x07, + 0xe7, 0x34, 0xad, 0x27, 0x6f, 0xda, 0x57, 0xe2, 0xa7, 0x4b, 0x7e, 0x7a, + 0x2e, 0x95, 0x88, 0x58, 0x3d, 0xe7, 0xdc, 0xa3, 0xf2, 0xe9, 0xf5, 0x95, + 0xfd, 0x1c, 0x5f, 0x9e, 0x5c, 0x0c, 0xe8, 0x36, 0xd5, 0x09, 0x35, 0x66, + 0x27, 0xb9, 0x13, 0x8a, 0x0e, 0xfa, 0xeb, 0xa6, 0x5b, 0xd6, 0x07, 0x4d, + 0xcf, 0x0d, 0x90, 0x71, 0xa1, 0xe5, 0x58, 0x1e, 0x27, 0x69, 0x64, 0x18, + 0x22, 0x07, 0x8a, 0x2a, 0xe9, 0x08, 0x00, 0x02, 0x8a, 0x58, 0x38, 0x81, + 0x05, 0xd8, 0xe7, 0x5d, 0x3d, 0xe8, 0x2b, 0x17, 0xfa, 0x29, 0x5c, 0xeb, + 0x93, 0x0c, 0x0f, 0x29, 0x68, 0x21, 0x93, 0x62, 0xf2, 0xe1, 0x44, 0x38, + 0x69, 0x21, 0x57, 0x86, 0x71, 0x6b, 0x3d, 0x12, 0x4e, 0x28, 0xdb, 0x0b, + 0xd4, 0x2c, 0xc5, 0xe8, 0x5f, 0x9b, 0xd2, 0x26, 0x08, 0x45, 0xa4, 0xb2, + 0xb1, 0x5e, 0xd1, 0x18, 0x3e, 0x62, 0x8d, 0x77, 0xa0, 0x62, 0x07, 0x75, + 0x0c, 0x68, 0x7f, 0xab, 0xd2, 0x2c, 0xec, 0x8e, 0xa9, 0x6e, 0x37, 0x3d, + 0xdb, 0x33, 0x7a, 0x4a, 0xba, 0x86, 0x25, 0x50, 0x6a, 0x37, 0x1b, 0x9b, + 0x91, 0x1a, 0x5f, 0x93, 0x21, 0xea, 0x91, 0xdc, 0x64, 0xb6, 0x07, 0x44, + 0x34, 0x79, 0x6a, 0x6a, 0x42, 0x4e, 0xf3, 0xe2, 0xa2, 0x6b, 0xff, 0xcd, + 0xd7, 0xc5, 0x69, 0xb9, 0x81, 0x7d, 0x34, 0xb4, 0x5b, 0xb6, 0x83, 0xc3, + 0x6b, 0x9a, 0xe1, 0x2e, 0x5e, 0x34, 0x01, 0x21, 0xeb, 0x37, 0xcc, 0xc5, + 0x5f, 0x7f, 0xa0, 0xde, 0x0f, 0x79, 0xb7, 0xc3, 0x3b, 0x84, 0x7d, 0xe8, + 0x96, 0xfd, 0x32, 0x47, 0x78, 0x3e, 0x22, 0xc8, 0x98, 0xce, 0x7a, 0xef, + 0x1d, 0xa6, 0x09, 0x3a, 0xff, 0xf7, 0x68, 0xd9, 0xb8, 0xe9, 0x7e, 0x8a, + 0xec, 0x23, 0x01, 0x97}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +static const unsigned char subprime_weak_8192[] = { + 0xe2, 0x48, 0x2e, 0xe9, 0x45, 0x85, 0xe1, 0x01, 0x91, 0x3b, 0xd1, + 0x15, 0x16, 0xb4, 0xf5, 0x5b, 0x2c, 0xb4, 0xae, 0x42, 0x61, 0x7a, + 0xd9, 0x26, 0x39, 0x12, 0xd2, 0x46, 0xb3, 0x46, 0x9b, 0x5f}; +#endif + +static const unsigned char base_weak_8192[] = { + 0x78, 0x4d, 0x5d, 0xa1, 0xce, 0x9d, 0x68, 0xae, 0x47, 0x31, 0x81, 0x08, + 0x8c, 0x24, 0x38, 0x6a, 0xc8, 0xc7, 0xf4, 0x1c, 0xa1, 0xcb, 0x5d, 0x65, + 0x04, 0x6e, 0x0d, 0xbe, 0x55, 0x1d, 0x25, 0xc2, 0xca, 0x74, 0x99, 0x66, + 0x67, 0x75, 0x00, 0xd6, 0x12, 0x90, 0x7f, 0x44, 0x56, 0x40, 0x98, 0x23, + 0x30, 0x87, 0x7b, 0x02, 0x86, 0xc1, 0xb3, 0x1b, 0x83, 0x82, 0xdb, 0x5b, + 0xa6, 0x72, 0x90, 0x77, 0xf9, 0x63, 0x9d, 0xb4, 0xe0, 0x83, 0x5e, 0x04, + 0x1d, 0x7b, 0x25, 0x68, 0x67, 0xa4, 0xb2, 0x4e, 0x5a, 0xde, 0x1f, 0x48, + 0x01, 0x10, 0xde, 0xde, 0xa9, 0xc3, 0x14, 0xc5, 0x9c, 0xda, 0xbe, 0xd9, + 0x19, 0x91, 0x43, 0x4a, 0xaa, 0x77, 0xcc, 0xbb, 0xe0, 0xe7, 0x71, 0xa9, + 0xa2, 0x73, 0x4f, 0xf6, 0x88, 0xe0, 0xc6, 0x5d, 0x1a, 0xc9, 0x80, 0x6b, + 0x47, 0x98, 0x76, 0xb4, 0x6c, 0xfe, 0xc8, 0xdf, 0x65, 0x42, 0x3d, 0x11, + 0x60, 0x09, 0x32, 0xb3, 0x35, 0xc4, 0x97, 0x4c, 0xae, 0xd3, 0x3a, 0x0c, + 0x2b, 0x44, 0xe6, 0x21, 0x01, 0xf3, 0xbf, 0x3d, 0xb7, 0x18, 0x31, 0x28, + 0x88, 0x9e, 0xad, 0x06, 0xc4, 0xb8, 0x0a, 0x26, 0x09, 0xff, 0xe7, 0xf4, + 0xab, 0xd9, 0x28, 0x94, 0x02, 0xe6, 0x58, 0x65, 0xf4, 0x47, 0x3f, 0x4c, + 0x9e, 0xd8, 0x68, 0xed, 0x65, 0x39, 0x5b, 0x04, 0x6a, 0x1d, 0x21, 0xba, + 0xef, 0xbd, 0xdc, 0x15, 0x69, 0xb2, 0x24, 0x6c, 0x23, 0x98, 0xdd, 0x22, + 0xa0, 0x90, 0x48, 0xc1, 0xcc, 0xc6, 0xb4, 0xc9, 0x19, 0x8c, 0x23, 0x89, + 0x0b, 0x3b, 0x66, 0x0f, 0xfb, 0x45, 0xe6, 0x05, 0x7d, 0x57, 0xd3, 0x58, + 0x6c, 0xe5, 0x36, 0xaa, 0x05, 0xcf, 0xa6, 0x2d, 0x5a, 0x40, 0x96, 0x12, + 0x1e, 0xea, 0x34, 0x11, 0x94, 0x76, 0x47, 0xc8, 0x87, 0x3d, 0xb9, 0xe8, + 0x83, 0x6b, 0xfe, 0x83, 0xc6, 0xa3, 0x38, 0xe1, 0x06, 0xc3, 0xb0, 0xeb, + 0x53, 0x07, 0x75, 0x20, 0x60, 0xc2, 0xee, 0x1e, 0x95, 0xb4, 0xc1, 0xc5, + 0xe0, 0x1b, 0x47, 0xbb, 0xf9, 0x48, 0x6a, 0x68, 0x09, 0xab, 0xd2, 0x6e, + 0x29, 0x74, 0xed, 0x61, 0x0e, 0x12, 0xe2, 0x89, 0x15, 0x4f, 0xe2, 0xa1, + 0x50, 0xbd, 0x81, 0x49, 0xf0, 0xc4, 0x17, 0xe5, 0xb3, 0x35, 0x0b, 0xfa, + 0x59, 0x9f, 0x18, 0x84, 0xba, 0x74, 0xf2, 0xb8, 0x8f, 0xdf, 0x7c, 0x3e, + 0x36, 0x67, 0x84, 0xb7, 0x85, 0x50, 0x51, 0x64, 0x2a, 0xca, 0x8f, 0x6b, + 0xc8, 0xd1, 0x88, 0x0f, 0x64, 0x9a, 0x4a, 0xbd, 0x9b, 0x5f, 0x11, 0xd0, + 0x80, 0xba, 0x5d, 0x2e, 0x63, 0xc1, 0xe3, 0x58, 0xc1, 0xf3, 0xe3, 0x88, + 0xa7, 0xe6, 0xb2, 0x3c, 0xdf, 0x9d, 0xfa, 0xed, 0x5c, 0x6f, 0x86, 0x3b, + 0x25, 0x0f, 0x0e, 0xff, 0x0b, 0x88, 0x1c, 0xe9, 0xeb, 0xe5, 0x75, 0xee, + 0x50, 0xdf, 0x7c, 0xb0, 0xf2, 0x09, 0x78, 0x47, 0x60, 0x76, 0x3b, 0x44, + 0x5a, 0x9d, 0xf2, 0x5c, 0x68, 0xf9, 0x03, 0x88, 0x6a, 0x9f, 0x6a, 0x73, + 0x85, 0xc9, 0xe7, 0x5e, 0xbf, 0xac, 0x9e, 0x7a, 0x13, 0x53, 0x40, 0x65, + 0x65, 0x41, 0x02, 0x38, 0x5e, 0x05, 0xac, 0xbc, 0xc5, 0xff, 0xc5, 0x35, + 0x6c, 0x2b, 0x76, 0xac, 0xc5, 0xcc, 0x1e, 0x28, 0x53, 0x88, 0xab, 0x58, + 0x36, 0x7a, 0x99, 0xeb, 0x68, 0x7a, 0xdc, 0xd5, 0xc5, 0xaf, 0x84, 0xad, + 0x43, 0x0b, 0x3f, 0x3c, 0xbf, 0x87, 0x33, 0x45, 0xc6, 0x62, 0xf3, 0xac, + 0xff, 0x58, 0x82, 0x86, 0x9a, 0x3d, 0x05, 0xa0, 0xd2, 0xbb, 0x6d, 0x19, + 0x09, 0x09, 0x01, 0xeb, 0x8f, 0xd6, 0xf8, 0x13, 0xf6, 0x2f, 0xce, 0x0c, + 0x01, 0xe1, 0xcd, 0x56, 0xad, 0xf7, 0xd6, 0xe3, 0xf3, 0xfe, 0x5b, 0x61, + 0x40, 0x3d, 0x6b, 0x9b, 0xca, 0x44, 0xda, 0xac, 0xf5, 0xc0, 0x9f, 0xb5, + 0x23, 0x77, 0x70, 0x72, 0x83, 0xf4, 0xb8, 0x15, 0x66, 0x59, 0xc6, 0x72, + 0xea, 0xba, 0xa7, 0x1f, 0xd8, 0x27, 0xd3, 0x52, 0xdf, 0xec, 0x7c, 0x1d, + 0x3e, 0x60, 0x98, 0xb1, 0x30, 0xb8, 0x00, 0x37, 0x1a, 0x2d, 0xe9, 0xdb, + 0x62, 0x7f, 0xa9, 0x37, 0x9d, 0xf9, 0x82, 0x10, 0x98, 0xed, 0xc5, 0xc7, + 0xc7, 0xe6, 0x6e, 0xe8, 0x0f, 0xa8, 0x7e, 0xac, 0x30, 0xf8, 0x75, 0x95, + 0xc8, 0x56, 0x3b, 0xbb, 0x6f, 0x69, 0x48, 0x84, 0xb5, 0x4e, 0x8d, 0x68, + 0xdf, 0x2a, 0x1d, 0xf5, 0xd6, 0xd8, 0x00, 0x6f, 0x29, 0xea, 0x66, 0xb1, + 0xcb, 0xf3, 0xdb, 0x5e, 0x55, 0x9f, 0x13, 0x67, 0x22, 0xc3, 0x02, 0x74, + 0xc8, 0x69, 0x6b, 0xe5, 0x23, 0x83, 0x27, 0x20, 0x91, 0xda, 0xb3, 0x4a, + 0xe4, 0x92, 0xc9, 0x25, 0x76, 0x16, 0xf9, 0xfc, 0x74, 0xec, 0x95, 0xd9, + 0x61, 0x5f, 0x03, 0xac, 0x94, 0x2f, 0x4d, 0x00, 0xce, 0x97, 0xb7, 0x18, + 0x60, 0x10, 0x44, 0x1a, 0x48, 0xb2, 0x86, 0x02, 0x18, 0xac, 0x68, 0x61, + 0x73, 0x5e, 0x13, 0xd1, 0xd4, 0x66, 0x71, 0x8b, 0x1d, 0xbc, 0x08, 0xa2, + 0x45, 0xac, 0xe2, 0x06, 0xea, 0xe7, 0xb2, 0x8a, 0x27, 0x25, 0xb8, 0xa2, + 0xaf, 0x03, 0xc0, 0x0d, 0x90, 0x34, 0x90, 0x60, 0x55, 0x5f, 0x71, 0x94, + 0x8d, 0xfa, 0x5d, 0x91, 0x96, 0x3e, 0x7a, 0x2a, 0x4f, 0x50, 0x3f, 0x48, + 0xc2, 0x31, 0xd2, 0xa9, 0x29, 0x8a, 0x0a, 0x41, 0x50, 0xf2, 0x7d, 0x9b, + 0x52, 0xc9, 0xdf, 0x69, 0xfb, 0x6a, 0x1e, 0xee, 0xf2, 0x44, 0x3e, 0xe5, + 0x48, 0xad, 0x24, 0x3b, 0xac, 0xad, 0x62, 0x4f, 0xc8, 0x30, 0x1d, 0x7e, + 0x42, 0x4b, 0x52, 0x53, 0xca, 0x16, 0x27, 0x37, 0x76, 0x8f, 0x95, 0x7c, + 0xd1, 0xcd, 0x39, 0xac, 0x30, 0xc0, 0x1d, 0x15, 0xe4, 0x80, 0xc2, 0x43, + 0x6d, 0x77, 0x5d, 0x27, 0x4a, 0xad, 0xf4, 0x64, 0x56, 0xfd, 0x0b, 0x3a, + 0xaf, 0xb7, 0x63, 0x03, 0x44, 0x86, 0x4d, 0x72, 0x03, 0xd9, 0x91, 0xb9, + 0x06, 0xc0, 0x3f, 0x7a, 0xd7, 0xb6, 0x17, 0xd5, 0xb3, 0x2a, 0x13, 0x93, + 0x9d, 0x45, 0xfa, 0x70, 0xe7, 0x3a, 0xcd, 0x5e, 0xad, 0x7c, 0x70, 0x96, + 0x84, 0x91, 0xfd, 0x1c, 0x2b, 0xa2, 0x68, 0x7c, 0xc4, 0x8f, 0xa0, 0x2f, + 0x02, 0x6e, 0x4f, 0xd5, 0xe9, 0xb8, 0xbf, 0x52, 0x85, 0xd3, 0xdd, 0xbb, + 0x43, 0x73, 0x58, 0xd9, 0xa4, 0xb0, 0x08, 0x25, 0x16, 0xe3, 0x13, 0xc9, + 0x98, 0x26, 0x79, 0x91, 0xf8, 0x67, 0x2f, 0x05, 0x10, 0x8f, 0x03, 0xe5, + 0x26, 0x5c, 0xcb, 0x99, 0x97, 0xb7, 0xc9, 0x19, 0x4d, 0x4c, 0x9f, 0xc6, + 0xcc, 0x24, 0xfb, 0xe2, 0x83, 0x59, 0xbb, 0x9f, 0x25, 0x14, 0xf0, 0x92, + 0x3a, 0xcc, 0xc7, 0xcf, 0x66, 0xea, 0x43, 0x48, 0x8a, 0x23, 0xcb, 0xec, + 0xf5, 0x60, 0x7e, 0x81, 0x72, 0x94, 0x44, 0xfd, 0x33, 0x38, 0xfc, 0xbd, + 0xcf, 0x91, 0xe7, 0x22, 0x19, 0x8f, 0x1e, 0x0a, 0x8c, 0x08, 0x8c, 0xf1, + 0x39, 0x7d, 0xd4, 0xf1, 0xb3, 0xa0, 0x9d, 0xae, 0x9e, 0x8e, 0x24, 0xd7, + 0x37, 0x39, 0x9b, 0x93, 0xd7, 0x89, 0x1c, 0x04, 0x1b, 0x3e, 0x84, 0x5d, + 0xc6, 0x75, 0x36, 0x64, 0x08, 0x06, 0x0d, 0xdd, 0x83, 0x8c, 0xf4, 0xc4, + 0xe1, 0x11, 0xe1, 0x14, 0x49, 0xb1, 0x32, 0xce, 0x6a, 0x6c, 0x39, 0x0d, + 0xf9, 0x35, 0x1b, 0x95, 0x4b, 0xe1, 0x65, 0x0c, 0xa6, 0xac, 0x69, 0x27, + 0x98, 0xfa, 0x34, 0xf1, 0x30, 0x35, 0xb6, 0xe4, 0xc4, 0x55, 0x2d, 0xa8, + 0x5c, 0xcb, 0x6c, 0xcd, 0x66, 0x65, 0xe2, 0x94, 0xb2, 0xb1, 0xf4, 0x52, + 0x75, 0xed, 0x32, 0x8c, 0x08, 0xa1, 0x86, 0x53, 0x01, 0x6f, 0x52, 0x78, + 0xda, 0x20, 0x6e, 0x6a}; +/* Calculated subprimes to verify primes are safe primes */ + +/* q=(p-1)/2 for prime prime_ike_1536 */ +static const unsigned char sub2_prime_ike_1536[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x11, 0xb9, 0x93, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_2048 */ +static const unsigned char sub2_prime_ike_2048[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x56, 0x55, 0x34, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_2048 */ +static const unsigned char sub2_prime_tls_2048[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x94, 0x2e, 0x4b, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_3072 */ +static const unsigned char sub2_prime_ike_3072[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x9d, 0x69, 0x65, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_3072 */ +static const unsigned char sub2_prime_tls_3072[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x63, 0x17, 0x1b, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_4096 */ +static const unsigned char sub2_prime_ike_4096[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x03, 0x18, 0xcc, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_4096 */ +static const unsigned char sub2_prime_tls_4096[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x32, 0xaf, 0xb5, + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_6144 */ +static const unsigned char sub2_prime_ike_6144[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xe6, 0x20, 0x12, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_6144 */ +static const unsigned char sub2_prime_tls_6144[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x68, 0x72, 0x07, 0x32, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_8192 */ +static const unsigned char sub2_prime_ike_8192[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xdf, 0x08, 0xac, 0xba, 0x51, 0xc9, 0x37, 0x89, 0x7f, 0x72, 0xf2, + 0x1c, 0x3b, 0xbe, 0x5b, 0x54, 0x99, 0x6f, 0xc6, 0x6c, 0x5f, 0x62, 0x68, + 0x39, 0xdc, 0x98, 0xdd, 0x1d, 0xe4, 0x19, 0x5b, 0x46, 0xce, 0xe9, 0x80, + 0x3a, 0x0f, 0xd3, 0xdf, 0xc5, 0x7e, 0x23, 0xf6, 0x92, 0xbb, 0x7b, 0x49, + 0xb5, 0xd2, 0x12, 0x33, 0x1d, 0x55, 0xb1, 0xce, 0x2d, 0x72, 0x7a, 0xb4, + 0x1a, 0x11, 0xda, 0x3a, 0x15, 0xf8, 0xe4, 0xbc, 0x11, 0xc7, 0x8b, 0x65, + 0xf1, 0xce, 0xb2, 0x96, 0xf1, 0xfe, 0xdc, 0x5f, 0x7e, 0x42, 0x45, 0x6c, + 0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xbe, 0x03, 0x89, 0xf5, 0xab, 0xd4, + 0x0d, 0x11, 0xf8, 0x63, 0x9a, 0x39, 0xfe, 0x32, 0x36, 0x75, 0x18, 0x35, + 0xa5, 0xe5, 0xe4, 0x43, 0x17, 0xc1, 0xc2, 0xee, 0xfd, 0x4e, 0xa5, 0xbf, + 0xd1, 0x60, 0x43, 0xf4, 0x3c, 0xb4, 0x19, 0x81, 0xf6, 0xad, 0xee, 0x9d, + 0x03, 0x15, 0x9e, 0x7a, 0xd9, 0xd1, 0x3c, 0x53, 0x36, 0x95, 0x09, 0xfc, + 0x1f, 0xa2, 0x7c, 0x16, 0xef, 0x98, 0x87, 0x70, 0x3a, 0x55, 0xb5, 0x1b, + 0x22, 0xcb, 0xf4, 0x4c, 0xd0, 0x12, 0xae, 0xe0, 0xb2, 0x79, 0x8e, 0x62, + 0x84, 0x23, 0x42, 0x8e, 0xfc, 0xd5, 0xa4, 0x0c, 0xae, 0xf6, 0xbf, 0x50, + 0xd8, 0xea, 0x88, 0x5e, 0xbf, 0x73, 0xa6, 0xb9, 0xfd, 0x79, 0xb5, 0xe1, + 0x8f, 0x67, 0xd1, 0x34, 0x1a, 0xc8, 0x23, 0x7a, 0x75, 0xc3, 0xcf, 0xc9, + 0x20, 0x04, 0xa1, 0xc5, 0xa4, 0x0e, 0x36, 0x6b, 0xc4, 0x4d, 0x00, 0x17, + 0x6a, 0xf7, 0x1c, 0x15, 0xe4, 0x8c, 0x86, 0xd3, 0x7e, 0x01, 0x37, 0x23, + 0xca, 0xac, 0x72, 0x23, 0xab, 0x3b, 0xf4, 0xd5, 0x4f, 0x18, 0x28, 0x71, + 0x3b, 0x2b, 0x4a, 0x6f, 0xe4, 0x0f, 0xab, 0x74, 0x40, 0x5c, 0xb7, 0x38, + 0xb0, 0x64, 0xc0, 0x6e, 0xcc, 0x76, 0xe9, 0xef, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_8192 */ +static const unsigned char sub2_prime_tls_8192[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x67, 0xfa, 0x35, 0x55, 0x1b, 0x56, 0x80, 0x26, 0x7b, 0x00, 0x64, 0x1c, + 0x0f, 0x21, 0x2d, 0x18, 0xec, 0xa8, 0xd7, 0x32, 0x7e, 0xd9, 0x1f, 0xe7, + 0x64, 0xa8, 0x4e, 0xa1, 0xb4, 0x3f, 0xf5, 0xb4, 0xf6, 0xe8, 0xe6, 0x2f, + 0x05, 0xc6, 0x61, 0xde, 0xfb, 0x25, 0x88, 0x77, 0xc3, 0x5b, 0x18, 0xa1, + 0x51, 0xd5, 0xc4, 0x14, 0xaa, 0xad, 0x97, 0xba, 0x3e, 0x49, 0x93, 0x32, + 0xe5, 0x96, 0x07, 0x8e, 0x60, 0x0d, 0xeb, 0x81, 0x14, 0x9c, 0x44, 0x1c, + 0xe9, 0x57, 0x82, 0xf2, 0x2a, 0x28, 0x25, 0x63, 0xc5, 0xba, 0xc1, 0x41, + 0x14, 0x23, 0x60, 0x5d, 0x1a, 0xe1, 0xaf, 0xae, 0x2c, 0x8b, 0x06, 0x60, + 0x23, 0x7e, 0xc1, 0x28, 0xaa, 0x0f, 0xe3, 0x46, 0x4e, 0x43, 0x58, 0x11, + 0x5d, 0xb8, 0x4c, 0xc3, 0xb5, 0x23, 0x07, 0x3a, 0x28, 0xd4, 0x54, 0x98, + 0x84, 0xb8, 0x1f, 0xf7, 0x0e, 0x10, 0xbf, 0x36, 0x1c, 0x13, 0x72, 0x96, + 0x28, 0xd5, 0x34, 0x8f, 0x07, 0x21, 0x1e, 0x7e, 0x4c, 0xf4, 0xf1, 0x8b, + 0x28, 0x60, 0x90, 0xbd, 0xb1, 0x24, 0x0b, 0x66, 0xd6, 0xcd, 0x4a, 0xfc, + 0xea, 0xdc, 0x00, 0xca, 0x44, 0x6c, 0xe0, 0x50, 0x50, 0xff, 0x18, 0x3a, + 0xd2, 0xbb, 0xf1, 0x18, 0xc1, 0xfc, 0x0e, 0xa5, 0x1f, 0x97, 0xd2, 0x2b, + 0x8f, 0x7e, 0x46, 0x70, 0x5d, 0x45, 0x27, 0xf4, 0x5b, 0x42, 0xae, 0xff, + 0x39, 0x58, 0x53, 0x37, 0x6f, 0x69, 0x7d, 0xd5, 0xfd, 0xf2, 0xc5, 0x18, + 0x7d, 0x7d, 0x5f, 0x0e, 0x2e, 0xb8, 0xd4, 0x3f, 0x17, 0xba, 0x0f, 0x7c, + 0x60, 0xff, 0x43, 0x7f, 0x53, 0x5d, 0xfe, 0xf2, 0x98, 0x33, 0xbf, 0x86, + 0xcb, 0xe8, 0x8e, 0xa4, 0xfb, 0xd4, 0x22, 0x1e, 0x84, 0x11, 0x72, 0x83, + 0x54, 0xfa, 0x30, 0xa7, 0x00, 0x8f, 0x15, 0x4a, 0x41, 0xc7, 0xfc, 0x46, + 0x6b, 0x46, 0x45, 0xdb, 0xe2, 0xe3, 0x21, 0x26, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_safe_1536 */ +static const unsigned char sub2_prime_safe_1536[] = { + 0x7b, 0xb3, 0x98, 0xe4, 0x22, 0xb5, 0x6c, 0xf5, 0x29, 0x85, 0x90, 0xe3, + 0xa5, 0x7d, 0x40, 0xb3, 0x3b, 0x2e, 0x75, 0x5b, 0xfa, 0x88, 0x99, 0x36, + 0xe9, 0xa6, 0x3d, 0x56, 0x1c, 0x8b, 0x8d, 0x43, 0xdc, 0x00, 0x6b, 0x88, + 0xe2, 0xfe, 0xf0, 0xf1, 0xb2, 0xa6, 0x0f, 0xa1, 0x12, 0x20, 0x8f, 0x49, + 0x21, 0x5f, 0xdb, 0x32, 0x87, 0x39, 0x41, 0xc5, 0x5c, 0x41, 0x53, 0x27, + 0xcf, 0x65, 0x27, 0xe8, 0xd8, 0x89, 0xe1, 0x7d, 0x33, 0xd0, 0xb5, 0x03, + 0x27, 0xd7, 0xb7, 0x0b, 0x6c, 0xca, 0x6c, 0x6d, 0x71, 0xb3, 0x31, 0x00, + 0x8f, 0xc1, 0x47, 0x88, 0x70, 0x17, 0x9e, 0x51, 0xa1, 0x54, 0x5d, 0xca, + 0x19, 0x3c, 0xbc, 0xbf, 0xcb, 0xfc, 0x1d, 0x18, 0xd5, 0x0a, 0x63, 0xff, + 0x09, 0xcb, 0x3b, 0x8a, 0xdf, 0xa3, 0x90, 0x2b, 0x88, 0xf0, 0x27, 0xed, + 0x3f, 0x54, 0x8c, 0xa4, 0xd0, 0xc6, 0x94, 0xbb, 0x45, 0x69, 0xcd, 0xd8, + 0x5f, 0x28, 0x61, 0x92, 0xc1, 0x7c, 0xf1, 0x90, 0xc6, 0x7e, 0xd3, 0x28, + 0xf2, 0x9b, 0x3f, 0x41, 0x5b, 0x48, 0x22, 0xf0, 0xea, 0xb9, 0x2b, 0x5f, + 0x62, 0xb3, 0x9e, 0x89, 0x8d, 0x1c, 0xbf, 0xcc, 0x19, 0xfe, 0x5a, 0x3d, + 0xd2, 0x1c, 0x38, 0xc3, 0xcb, 0x37, 0x73, 0x3d, 0xbb, 0xd9, 0x32, 0xfe, + 0xef, 0x93, 0xc9, 0x86, 0x1e, 0x30, 0x6f, 0xf2, 0x99, 0xff, 0x6b, 0xa5, +}; + +/* q=(p-1)/2 for prime prime_safe_2048 */ +static const unsigned char sub2_prime_safe_2048[] = { + 0x70, 0xd1, 0xb7, 0x24, 0xb4, 0x83, 0x8e, 0x2f, 0xda, 0x0a, 0x9a, 0xa3, + 0x4c, 0xa9, 0x68, 0x27, 0x7f, 0xa7, 0x26, 0x58, 0xf0, 0xac, 0xf6, 0x97, + 0x38, 0xf9, 0xc0, 0x0a, 0x2a, 0x68, 0x7e, 0x41, 0x90, 0x14, 0x8a, 0x90, + 0xd3, 0x2f, 0x88, 0x40, 0xab, 0xfa, 0x17, 0x24, 0xd9, 0x68, 0x9b, 0xf4, + 0x35, 0x5f, 0xb9, 0x7c, 0xaa, 0xa7, 0x4f, 0x57, 0x10, 0x62, 0xdb, 0x62, + 0xc8, 0xbc, 0x86, 0xd1, 0x6e, 0xda, 0x5d, 0xa8, 0x27, 0x10, 0x65, 0x45, + 0x47, 0xc1, 0x1a, 0x5c, 0xb5, 0x1f, 0x4d, 0x33, 0xe1, 0x3f, 0x41, 0xfb, + 0x60, 0x56, 0xf1, 0xe5, 0x00, 0x6b, 0x08, 0xc4, 0x4e, 0x63, 0xcf, 0xda, + 0x1e, 0xa9, 0xd2, 0xad, 0x4b, 0xa2, 0x26, 0xf3, 0xae, 0x6a, 0xbb, 0x40, + 0x7c, 0x06, 0x66, 0xd3, 0x2a, 0xf1, 0x2f, 0xe7, 0xfa, 0x23, 0x52, 0x63, + 0x87, 0xe0, 0xc0, 0x42, 0x32, 0xa3, 0x46, 0x43, 0xe9, 0x4c, 0xc1, 0x6f, + 0xc7, 0x00, 0x44, 0xf9, 0x86, 0xea, 0xe0, 0x2a, 0x4a, 0x63, 0x51, 0xc9, + 0x07, 0xc8, 0x88, 0x77, 0x51, 0xb2, 0xa2, 0x5b, 0xb6, 0xf4, 0x11, 0xfc, + 0xbf, 0xc8, 0xb1, 0x32, 0x84, 0xc7, 0x50, 0x99, 0xea, 0x6b, 0x2a, 0x85, + 0x60, 0x74, 0x33, 0x38, 0x02, 0xe8, 0x09, 0x1a, 0x60, 0xfe, 0xe7, 0x3a, + 0xd2, 0x3a, 0xf0, 0xa3, 0x50, 0x84, 0x5a, 0x29, 0x7f, 0x12, 0xd2, 0x62, + 0xa7, 0x91, 0x82, 0x3f, 0x50, 0x96, 0x79, 0xab, 0x65, 0xfd, 0x3d, 0x5e, + 0x22, 0xe6, 0x3c, 0x59, 0x94, 0x79, 0xf2, 0xea, 0x93, 0x2b, 0x13, 0xc3, + 0x35, 0x2b, 0x35, 0xc3, 0xab, 0x07, 0x62, 0x1e, 0x76, 0xff, 0xe5, 0xcb, + 0x5a, 0x09, 0x8e, 0xa6, 0x9c, 0x27, 0x34, 0x9a, 0x28, 0xbd, 0x42, 0x98, + 0xda, 0x40, 0x6d, 0x20, 0xf1, 0xee, 0x17, 0x29, 0xec, 0x38, 0x9f, 0x66, + 0x1b, 0xc5, 0x40, 0x19, +}; + +/* q=(p-1)/2 for prime prime_safe_3072 */ +static const unsigned char sub2_prime_safe_3072[] = { + 0x43, 0xb3, 0x6f, 0xfb, 0xf6, 0x24, 0xb5, 0x4d, 0x3e, 0x4b, 0x14, 0x57, + 0x33, 0x9c, 0x55, 0xfd, 0x7f, 0x2e, 0x23, 0x3d, 0xf7, 0xf4, 0x8c, 0x53, + 0x3b, 0x59, 0x72, 0x87, 0x5f, 0x5c, 0x79, 0x40, 0x1b, 0x04, 0xc1, 0x22, + 0x3d, 0xf4, 0x74, 0x66, 0x44, 0x93, 0xb4, 0x02, 0xf0, 0x70, 0x9b, 0xeb, + 0xdf, 0xed, 0x86, 0x7b, 0x24, 0x29, 0x0b, 0x9f, 0xba, 0xe2, 0xa7, 0x5a, + 0x1e, 0xfc, 0x26, 0x75, 0x5a, 0x05, 0x83, 0x02, 0x0a, 0xc4, 0xbe, 0x5d, + 0x79, 0xfa, 0xef, 0x33, 0x37, 0x3e, 0x98, 0x62, 0x10, 0x02, 0xed, 0x19, + 0x07, 0xff, 0xbc, 0xb8, 0xa2, 0x4d, 0x88, 0x07, 0xf8, 0xdd, 0x98, 0xef, + 0x33, 0xc8, 0x75, 0x3b, 0xd6, 0xb2, 0xeb, 0x82, 0xba, 0xd5, 0xb3, 0x79, + 0x73, 0x29, 0x56, 0x79, 0x55, 0x53, 0xe9, 0x22, 0xec, 0xe3, 0x21, 0x1c, + 0x93, 0x8f, 0xa3, 0x42, 0x56, 0xbc, 0x5a, 0x7d, 0x42, 0x7c, 0x4d, 0x9f, + 0x65, 0xe0, 0xcc, 0xf2, 0x9a, 0xa1, 0x13, 0x02, 0xf5, 0x56, 0x28, 0x82, + 0x27, 0xc5, 0x4c, 0x12, 0xd3, 0xa3, 0x55, 0xbd, 0xf6, 0xdc, 0x54, 0x85, + 0x92, 0x11, 0xc1, 0x91, 0x8b, 0x43, 0xb2, 0x48, 0x86, 0x5f, 0x8f, 0xde, + 0x76, 0x25, 0x6e, 0x89, 0x15, 0x86, 0x54, 0x9c, 0xcb, 0x62, 0x61, 0xe7, + 0xd2, 0x9c, 0x20, 0x06, 0xb7, 0x68, 0x7d, 0x05, 0x06, 0x1f, 0x74, 0xba, + 0x85, 0xb8, 0x14, 0x34, 0x5e, 0x7e, 0xfb, 0x61, 0x4d, 0x2c, 0xc8, 0x90, + 0x2e, 0x38, 0x7f, 0x18, 0xd3, 0x28, 0x43, 0xcd, 0x35, 0x30, 0x90, 0x16, + 0x3b, 0xc2, 0x40, 0xd4, 0x1f, 0x64, 0xd4, 0x39, 0x58, 0x29, 0xa1, 0xc2, + 0x8e, 0x4d, 0x9d, 0x6e, 0xf7, 0x84, 0xbe, 0xe3, 0xb4, 0x63, 0x77, 0x84, + 0x67, 0x23, 0xd0, 0x6e, 0x2d, 0xed, 0x97, 0x96, 0x9a, 0x71, 0xef, 0x4a, + 0xfb, 0x35, 0xb6, 0xae, 0xc8, 0xdf, 0x22, 0xf7, 0x16, 0x82, 0x49, 0xbc, + 0x63, 0xd2, 0x24, 0xe6, 0x38, 0xd4, 0x2e, 0xec, 0x45, 0x3f, 0x4f, 0x27, + 0x88, 0x64, 0xa0, 0xe8, 0xb1, 0x60, 0xb8, 0x24, 0x5a, 0x89, 0x08, 0x91, + 0xd3, 0x72, 0x6f, 0xb2, 0x56, 0x6c, 0xf2, 0x1b, 0xe1, 0x5c, 0x91, 0xd3, + 0xa0, 0x75, 0x3f, 0xaa, 0x71, 0xf7, 0xb8, 0xc0, 0xda, 0x73, 0x82, 0x88, + 0x6b, 0x15, 0xea, 0x88, 0xc2, 0x2d, 0x34, 0xd2, 0xd6, 0x29, 0x36, 0xd4, + 0x3c, 0x93, 0xff, 0x8e, 0x01, 0x68, 0xb1, 0x1b, 0x01, 0xd1, 0x54, 0xa3, + 0x36, 0x27, 0xe5, 0x2c, 0x79, 0x59, 0x76, 0xc8, 0xda, 0x4f, 0x2d, 0xee, + 0xfc, 0xcc, 0xdb, 0x46, 0xb8, 0x1a, 0x05, 0x62, 0xa6, 0xeb, 0xe7, 0x45, + 0xf8, 0xa8, 0x12, 0xc4, 0xff, 0xf3, 0xf9, 0x0f, 0x5c, 0x90, 0xd9, 0xc5, + 0xe4, 0x21, 0x3e, 0x13, 0x77, 0xa6, 0x18, 0x46, 0xb0, 0x5b, 0x92, 0xfd, +}; + +/* q=(p-1)/2 for prime prime_safe_4096 */ +static const unsigned char sub2_prime_safe_4096[] = { + 0x45, 0xef, 0xe0, 0xd1, 0xf2, 0x5e, 0x8e, 0x58, 0xfa, 0x58, 0xa8, 0xe9, + 0xc5, 0x67, 0x1e, 0x99, 0xac, 0x40, 0x51, 0x8e, 0x3e, 0x06, 0xde, 0xc7, + 0x5e, 0xd9, 0xf3, 0xcf, 0x6a, 0x6f, 0x03, 0x7e, 0x4c, 0x57, 0x80, 0xa1, + 0xc9, 0x96, 0x7e, 0x7d, 0xc9, 0x40, 0x70, 0x37, 0x7c, 0xfb, 0x55, 0xb9, + 0xcb, 0x46, 0xbf, 0x60, 0x75, 0x93, 0x36, 0x06, 0x29, 0x83, 0x4f, 0x99, + 0x25, 0xd6, 0xa9, 0xea, 0xdf, 0xc8, 0x9a, 0x8b, 0x7e, 0xbf, 0xdd, 0x18, + 0x5b, 0x5a, 0x44, 0x08, 0x0f, 0xad, 0x60, 0x31, 0x7c, 0xbf, 0xb8, 0xcd, + 0xda, 0x88, 0x25, 0xcc, 0xe8, 0x78, 0x74, 0xe1, 0x77, 0x1a, 0x92, 0x75, + 0xe6, 0x77, 0x03, 0x5f, 0xd0, 0x02, 0xf2, 0x30, 0xd2, 0x53, 0x4c, 0x11, + 0xe8, 0x72, 0x45, 0x30, 0xe5, 0x02, 0xc5, 0x36, 0x4c, 0x7d, 0x41, 0xe1, + 0xa8, 0x3e, 0xaa, 0x9d, 0x97, 0x6a, 0xd6, 0x0a, 0x30, 0xc3, 0x68, 0xda, + 0xe7, 0xe0, 0x6e, 0x34, 0xa5, 0xb6, 0x25, 0x62, 0xeb, 0xff, 0x70, 0x74, + 0x0d, 0x32, 0x08, 0xed, 0xab, 0x78, 0x0e, 0x4a, 0xae, 0x68, 0xb5, 0x5c, + 0xfb, 0x71, 0x00, 0x7a, 0x11, 0x01, 0x81, 0x95, 0x5e, 0x4e, 0x41, 0x75, + 0xc4, 0x8d, 0x6e, 0xca, 0x32, 0x81, 0x22, 0x30, 0xbb, 0x60, 0xd7, 0x6c, + 0x65, 0x7e, 0xb3, 0x7a, 0x4b, 0x73, 0xbc, 0xff, 0x1d, 0x4c, 0x78, 0xc0, + 0x01, 0x7d, 0x21, 0x5b, 0xd7, 0x75, 0x9c, 0x94, 0x61, 0xdc, 0xe7, 0x46, + 0x38, 0xf5, 0x0a, 0x3a, 0x43, 0x36, 0x13, 0x6a, 0x8a, 0x90, 0xcb, 0x86, + 0x41, 0x46, 0xc0, 0xc2, 0x62, 0xa3, 0x88, 0x03, 0x33, 0xd4, 0x2f, 0xd8, + 0xe2, 0x99, 0x6e, 0x3f, 0xf3, 0x30, 0xf2, 0xf5, 0xcf, 0x54, 0xb0, 0xcc, + 0xa1, 0xd4, 0xc5, 0xf6, 0xd7, 0xf2, 0x10, 0xf7, 0xc7, 0x3c, 0x2d, 0x30, + 0xaa, 0xce, 0xa1, 0xed, 0xbb, 0xd5, 0x5d, 0x8c, 0xf5, 0x27, 0xa4, 0xa9, + 0xc0, 0x67, 0x3e, 0x4d, 0x75, 0x53, 0x49, 0xac, 0x6a, 0x55, 0xfa, 0x74, + 0xb0, 0x3e, 0xe5, 0x59, 0x4b, 0xd2, 0xf0, 0x49, 0x67, 0x76, 0x2b, 0xde, + 0x62, 0x82, 0xbb, 0x08, 0xbc, 0x81, 0xf0, 0xd9, 0x4c, 0xe0, 0x90, 0xea, + 0x42, 0xf3, 0xb7, 0xe4, 0xac, 0x74, 0x0e, 0x06, 0xe4, 0x48, 0x22, 0x26, + 0x2c, 0x2a, 0xcd, 0x77, 0x6f, 0x31, 0x07, 0x59, 0x71, 0xde, 0x75, 0xa8, + 0xa0, 0x02, 0xb8, 0xff, 0x5a, 0x74, 0xf3, 0x7b, 0x07, 0x6b, 0xdd, 0x8d, + 0xdc, 0x4c, 0xf4, 0x64, 0xed, 0x4f, 0xef, 0x1e, 0x09, 0xec, 0x8b, 0x22, + 0x9e, 0xd6, 0x71, 0x04, 0xe1, 0xc3, 0xdd, 0x9c, 0xc6, 0x37, 0x88, 0xb0, + 0x43, 0x8f, 0xd7, 0xd3, 0xee, 0x09, 0x47, 0xbe, 0xa6, 0x2f, 0x2b, 0x61, + 0xb1, 0x6e, 0xee, 0x81, 0xaa, 0xcf, 0x12, 0x36, 0x62, 0xb6, 0x5c, 0x07, + 0x57, 0x88, 0xea, 0x8f, 0x35, 0x1b, 0x4e, 0x65, 0x23, 0x1a, 0x09, 0x95, + 0xe8, 0xd1, 0x9a, 0x16, 0x41, 0x8d, 0x92, 0xe6, 0x0b, 0x80, 0xce, 0x34, + 0x29, 0xdb, 0xc3, 0xf6, 0x87, 0x24, 0x6b, 0xb4, 0xfc, 0xe4, 0x0e, 0xc5, + 0xb8, 0xfa, 0x37, 0xe8, 0xd8, 0xea, 0xb8, 0x50, 0x6b, 0xb8, 0x9e, 0xcf, + 0xfe, 0x7d, 0x1a, 0xb4, 0x92, 0xf9, 0x9c, 0xbc, 0xd6, 0xbd, 0x80, 0xe2, + 0xb3, 0x52, 0xf8, 0x63, 0x8e, 0x5b, 0x28, 0xf2, 0x81, 0x15, 0xe7, 0xe0, + 0x95, 0x48, 0xce, 0xd2, 0xdf, 0x9b, 0x9b, 0xee, 0x97, 0x18, 0x20, 0x6d, + 0xdf, 0xf6, 0x7f, 0x36, 0x16, 0x74, 0x90, 0x77, 0x44, 0xd6, 0x2a, 0xd7, + 0x81, 0xad, 0x5d, 0x2d, 0x29, 0x7d, 0xdf, 0xda, 0xd7, 0x1c, 0x10, 0x52, + 0xb4, 0x49, 0x2f, 0xf6, 0x0b, 0xd4, 0xc0, 0x29, 0xf9, 0x1d, 0x86, 0x04, + 0xf9, 0xf5, 0x8a, 0xb1, 0x47, 0x1c, 0xbd, 0xb5, +}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +/* q=(p-1)/2 for prime prime_safe_6144 */ +static const unsigned char sub2_prime_safe_6144[] = { + 0x5c, 0x87, 0xe0, 0xa0, 0xa5, 0x6f, 0x0d, 0x0e, 0x40, 0x50, 0x6b, 0x1c, + 0xc0, 0x88, 0x79, 0x84, 0xe5, 0x60, 0x30, 0x46, 0x2f, 0x46, 0x0b, 0x90, + 0xd0, 0x0c, 0x28, 0x6b, 0x30, 0x09, 0xfe, 0x1c, 0x00, 0x13, 0x6c, 0xb8, + 0xe9, 0x39, 0xfe, 0x2e, 0x86, 0x78, 0x90, 0x67, 0x3b, 0x22, 0x5d, 0xc5, + 0xae, 0x64, 0x2d, 0x2c, 0x86, 0x66, 0xa4, 0x5d, 0x5f, 0xc3, 0x39, 0x6d, + 0x7a, 0xde, 0xbe, 0x0e, 0xa0, 0xdd, 0x74, 0x4f, 0xc6, 0x61, 0x0c, 0x13, + 0xfd, 0x5e, 0x63, 0x67, 0xec, 0x23, 0xfa, 0xf4, 0xb8, 0xe6, 0x1b, 0x9a, + 0x61, 0xcd, 0xad, 0x7f, 0xe1, 0x86, 0x55, 0x8e, 0xcb, 0xc6, 0x13, 0x4a, + 0xc6, 0x78, 0x85, 0x2e, 0x91, 0x42, 0x2d, 0x3e, 0x79, 0x68, 0xc5, 0xbe, + 0x37, 0x8b, 0x84, 0x89, 0x80, 0x64, 0xef, 0xbc, 0xf0, 0xb7, 0x64, 0x7c, + 0x69, 0xe0, 0xee, 0xd9, 0x7a, 0x12, 0x15, 0x7d, 0x2e, 0x33, 0x12, 0x95, + 0x9c, 0xe8, 0x9c, 0xa4, 0x7d, 0x3b, 0x27, 0xab, 0xd1, 0x90, 0x61, 0x9c, + 0x17, 0x42, 0xb3, 0x98, 0xc9, 0x42, 0x9e, 0x38, 0x11, 0x8a, 0x76, 0x36, + 0x42, 0x94, 0x70, 0x27, 0xe6, 0x63, 0x1d, 0xe7, 0x8c, 0x98, 0x1d, 0x80, + 0xff, 0x4f, 0x0b, 0x32, 0x8e, 0x7a, 0x18, 0x86, 0x4e, 0x91, 0xa0, 0x42, + 0xb6, 0x6e, 0xf2, 0xfb, 0xc8, 0x12, 0xb4, 0xbd, 0x1e, 0x6b, 0x72, 0x21, + 0x36, 0x43, 0x82, 0x03, 0x53, 0xc1, 0x0e, 0xfe, 0x2f, 0x6c, 0x81, 0xb0, + 0x10, 0x4d, 0x2e, 0x35, 0x7f, 0x29, 0x86, 0x82, 0xc9, 0x0d, 0xd0, 0xed, + 0xfd, 0x00, 0x97, 0xc2, 0x44, 0xf0, 0x2b, 0x33, 0x3f, 0x71, 0xf3, 0x4c, + 0xa6, 0xd9, 0xe9, 0x78, 0x67, 0x79, 0xef, 0x82, 0x86, 0xab, 0xa1, 0x66, + 0xfe, 0x03, 0x1e, 0x73, 0x88, 0x9a, 0x3f, 0xa8, 0xc7, 0x5b, 0x92, 0x00, + 0xf1, 0x93, 0x23, 0xf3, 0xe8, 0xab, 0x87, 0x07, 0x78, 0x89, 0x62, 0xbc, + 0x96, 0xc3, 0x87, 0xd8, 0x8c, 0xb5, 0x6b, 0xa2, 0x19, 0xa3, 0x26, 0x5e, + 0x62, 0xe3, 0x12, 0x7c, 0x3e, 0x3d, 0x30, 0xff, 0x39, 0x4a, 0x90, 0xe6, + 0xe8, 0x9d, 0x69, 0xae, 0xbb, 0xbb, 0x5e, 0xc3, 0x6c, 0x5e, 0xc7, 0x2f, + 0x79, 0x72, 0x90, 0x00, 0xec, 0xda, 0x23, 0xfb, 0x8e, 0x28, 0xb8, 0x1c, + 0xb5, 0x63, 0xf5, 0x76, 0xc8, 0x6b, 0xe2, 0x69, 0xe6, 0xc7, 0x25, 0xec, + 0x08, 0xf8, 0x69, 0xb3, 0x1b, 0x3b, 0xf1, 0x0b, 0x09, 0xde, 0xe9, 0x2a, + 0x25, 0x0e, 0x30, 0xaa, 0x44, 0x0d, 0x34, 0xc2, 0xcf, 0xae, 0xe2, 0xdb, + 0xb1, 0x3f, 0x39, 0x05, 0x44, 0xc8, 0x12, 0x47, 0x9c, 0xd9, 0x79, 0x5b, + 0x09, 0x47, 0x28, 0x5a, 0x69, 0xf5, 0x61, 0xd6, 0x75, 0x46, 0x93, 0x8b, + 0xde, 0x83, 0xe9, 0x0a, 0xc0, 0x24, 0xf0, 0x4b, 0xa0, 0x8b, 0x6b, 0x1d, + 0x92, 0x74, 0x45, 0xfe, 0xd1, 0x8c, 0x5e, 0xa9, 0x2e, 0xf1, 0x10, 0xe7, + 0x3e, 0x37, 0x88, 0x1c, 0x38, 0x32, 0x62, 0x0a, 0xf9, 0x94, 0x63, 0x33, + 0x7e, 0x68, 0x91, 0x02, 0x40, 0x40, 0x63, 0x62, 0xba, 0xfa, 0xee, 0x58, + 0x20, 0x25, 0x89, 0x7d, 0x6d, 0xea, 0x9b, 0x66, 0x98, 0xd5, 0xeb, 0x8e, + 0x8c, 0x03, 0xce, 0x84, 0xcd, 0x8b, 0x50, 0x7f, 0x0f, 0x37, 0x9f, 0x9a, + 0x2d, 0x73, 0x38, 0x42, 0xcc, 0x18, 0x6a, 0x4a, 0x62, 0xf8, 0x1b, 0x1a, + 0xd0, 0xf6, 0xa3, 0x31, 0x9e, 0x07, 0xe7, 0xe2, 0xcf, 0x3e, 0x34, 0x12, + 0xb2, 0x49, 0x98, 0x1b, 0x1c, 0x58, 0xcc, 0xb6, 0x1b, 0xfa, 0xe7, 0xb2, + 0x25, 0xf7, 0xd3, 0x7f, 0xb5, 0x55, 0x55, 0x5b, 0x14, 0xf6, 0x9c, 0x40, + 0x0f, 0xac, 0x1a, 0xc4, 0x1f, 0x80, 0x8e, 0x64, 0x11, 0xa4, 0x1b, 0xd3, + 0xe9, 0x58, 0xd8, 0xf7, 0x22, 0x2c, 0x85, 0x7d, 0x82, 0xec, 0xf0, 0xad, + 0xa9, 0x9a, 0x4e, 0xcc, 0x98, 0x14, 0x54, 0x9d, 0xc7, 0x0d, 0xd6, 0x45, + 0x48, 0x48, 0xe4, 0xb8, 0xc5, 0x75, 0x5c, 0x88, 0xea, 0xb3, 0xc3, 0xa7, + 0xed, 0x93, 0xa7, 0xbf, 0xdc, 0x2a, 0x3f, 0xaf, 0x0c, 0x04, 0x7b, 0xf9, + 0x8e, 0x01, 0x1d, 0x02, 0x6f, 0x66, 0x08, 0x03, 0x3f, 0x0a, 0xe1, 0x92, + 0x06, 0x6f, 0x86, 0xfc, 0x43, 0x60, 0x26, 0x55, 0x87, 0xba, 0x82, 0x5f, + 0x79, 0xc8, 0x14, 0x68, 0x91, 0x0b, 0xcb, 0x66, 0x14, 0x88, 0x84, 0xd3, + 0xa9, 0xa1, 0x75, 0x48, 0xa8, 0xd7, 0xaa, 0xd0, 0x81, 0xb3, 0xbc, 0x31, + 0xd9, 0xd8, 0x07, 0xac, 0xae, 0x9b, 0xf3, 0x98, 0x45, 0xe5, 0x50, 0x22, + 0x89, 0x3d, 0x52, 0x84, 0xfd, 0xd3, 0x4c, 0xee, 0xfb, 0xf4, 0x98, 0x2d, + 0x61, 0x4e, 0x86, 0xef, 0x9c, 0xcc, 0x92, 0x86, 0xd9, 0x2b, 0xdb, 0x3c, + 0x01, 0x18, 0x7c, 0x43, 0x6f, 0x3c, 0xda, 0x5f, 0x1f, 0x29, 0xff, 0xba, + 0x07, 0xa6, 0x98, 0x16, 0xf3, 0x2b, 0xa5, 0x2b, 0xa9, 0x9d, 0x05, 0x8c, + 0xc3, 0x55, 0xc8, 0x72, 0x99, 0xc2, 0x29, 0xbd, 0x0b, 0xe2, 0xf8, 0xc6, + 0x61, 0xf2, 0x08, 0xa9, 0x95, 0xda, 0xda, 0x47, 0x73, 0x69, 0x02, 0x21, + 0xad, 0xb5, 0x18, 0x63, 0xe5, 0x57, 0xc8, 0xe0, 0x3b, 0x21, 0xc3, 0x32, + 0xf7, 0x66, 0xc1, 0x5f, 0x51, 0x6c, 0x16, 0xd6, 0xf5, 0xda, 0x8d, 0x5a, + 0xdf, 0xd0, 0xf3, 0xc9, 0xa8, 0x0a, 0x84, 0x13, 0x93, 0x9e, 0x66, 0x29, + 0xc1, 0x33, 0xea, 0x79, 0x06, 0x93, 0x30, 0x43, 0x82, 0x97, 0x55, 0x31, + 0x2a, 0xe6, 0x4d, 0x77, 0x16, 0x10, 0x11, 0x8a, 0x7d, 0x2e, 0x14, 0xa0, + 0xf0, 0xc4, 0xc1, 0x8c, 0xe0, 0x9b, 0x46, 0x52, 0x48, 0xfb, 0x20, 0x1b, + 0xb8, 0x15, 0x06, 0xc1, 0x5d, 0xab, 0x37, 0x11, 0x9a, 0x5c, 0xb7, 0x19, +}; + +/* q=(p-1)/2 for prime prime_safe_8192 */ +static const unsigned char sub2_prime_safe_8192[] = { + 0x4d, 0xd3, 0xcd, 0xd1, 0x43, 0x2a, 0x73, 0xcc, 0x88, 0xad, 0x9a, 0xc0, + 0xea, 0xbd, 0x45, 0x37, 0x26, 0xa6, 0xb0, 0xae, 0xe9, 0xe7, 0x86, 0x32, + 0xbf, 0x6d, 0x6c, 0x67, 0x14, 0x56, 0x50, 0x1c, 0x40, 0xf7, 0x50, 0x8a, + 0x12, 0x90, 0xb3, 0xb3, 0x1d, 0x36, 0x07, 0xc0, 0x1e, 0xc4, 0xbc, 0xff, + 0x38, 0xa1, 0xab, 0xe1, 0xd4, 0xaa, 0x0f, 0x10, 0x45, 0x77, 0x07, 0xd3, + 0x45, 0xc4, 0x40, 0x9e, 0xf4, 0x2e, 0x20, 0x23, 0x82, 0xef, 0xec, 0x36, + 0xcc, 0x32, 0x8b, 0x54, 0xfc, 0xe2, 0x46, 0x01, 0x5d, 0x57, 0x35, 0x9b, + 0x3b, 0x64, 0xfd, 0x47, 0x68, 0x6b, 0xcd, 0x1e, 0x65, 0xe8, 0xa2, 0x04, + 0xeb, 0xa7, 0x94, 0x28, 0xca, 0x49, 0x2d, 0x81, 0x59, 0x5e, 0xbc, 0x69, + 0xe1, 0x3b, 0x01, 0x8a, 0x8b, 0x85, 0xaa, 0x84, 0x01, 0x21, 0x4f, 0x13, + 0x2b, 0x19, 0xb9, 0x73, 0x5e, 0x87, 0x7c, 0x9e, 0x96, 0x59, 0xc5, 0x26, + 0x33, 0x8b, 0xfe, 0xf4, 0x81, 0xd6, 0xc6, 0x1a, 0x42, 0x72, 0xc1, 0xef, + 0xce, 0x02, 0x49, 0x81, 0x93, 0x0c, 0xe0, 0xf8, 0x92, 0x34, 0x7b, 0x2a, + 0x4b, 0x67, 0x1c, 0x28, 0xde, 0xb6, 0x1e, 0xce, 0x06, 0x6c, 0x37, 0x09, + 0xa6, 0x45, 0xfb, 0x1a, 0x57, 0x6c, 0x42, 0x8e, 0x8e, 0xc7, 0x61, 0x56, + 0xd5, 0xd1, 0x62, 0xa0, 0x3b, 0x3f, 0x97, 0x97, 0x1c, 0x7a, 0x35, 0x1c, + 0x99, 0x9e, 0x8b, 0xe7, 0x0f, 0xf4, 0xe1, 0xc6, 0xcf, 0x72, 0xdf, 0x6b, + 0x56, 0xcd, 0x11, 0xec, 0x03, 0x79, 0xbe, 0x1c, 0xea, 0xd7, 0x2b, 0xdb, + 0x72, 0xe1, 0xcd, 0x45, 0x46, 0x37, 0x69, 0xe0, 0x8d, 0x32, 0x09, 0x00, + 0x0c, 0x29, 0xe5, 0x19, 0x44, 0x47, 0x60, 0x2f, 0x96, 0xd9, 0x1e, 0x8a, + 0x0d, 0xac, 0x2e, 0x10, 0x74, 0x29, 0x72, 0x94, 0x20, 0xde, 0x4f, 0x04, + 0x14, 0xd5, 0xd2, 0xa1, 0xcc, 0x87, 0x6b, 0x95, 0x5c, 0xdc, 0x32, 0x4e, + 0xc1, 0xf1, 0x8d, 0x13, 0x2c, 0xb2, 0xf9, 0x06, 0x64, 0xe2, 0xc7, 0x86, + 0xe7, 0xd0, 0x8c, 0x7e, 0x45, 0xbb, 0xf4, 0xf0, 0x8c, 0xbd, 0x81, 0xea, + 0x1b, 0xc6, 0xae, 0x9b, 0x95, 0xd6, 0xac, 0x2f, 0x39, 0xb9, 0x67, 0x42, + 0x72, 0xe4, 0xba, 0x8e, 0xf9, 0xac, 0x21, 0x3b, 0xff, 0x29, 0xd0, 0x61, + 0x33, 0x10, 0xd7, 0xf1, 0x30, 0xe9, 0x42, 0x59, 0x81, 0xa6, 0xec, 0x3e, + 0xc2, 0xf0, 0xd4, 0x50, 0x24, 0x2e, 0x8d, 0x54, 0xd6, 0x60, 0xb4, 0x92, + 0x63, 0x7d, 0x5a, 0x91, 0x1f, 0x51, 0xc6, 0x9a, 0x94, 0xe7, 0xcd, 0x72, + 0xc2, 0x1d, 0x85, 0x93, 0x9b, 0x3f, 0x4e, 0xd3, 0x58, 0x22, 0xb0, 0x21, + 0x0f, 0x25, 0x92, 0x68, 0x9b, 0x45, 0xb8, 0x68, 0xca, 0xaa, 0x0a, 0x5c, + 0xa3, 0x9e, 0xc6, 0xf2, 0x2f, 0xc0, 0x8d, 0x10, 0x8b, 0x8b, 0xdf, 0xc9, + 0x11, 0x26, 0x3b, 0x98, 0x6e, 0x4e, 0x42, 0x73, 0x34, 0x66, 0x6b, 0x08, + 0x82, 0x7f, 0xb8, 0xc3, 0x59, 0xd4, 0xcd, 0x89, 0xca, 0x9a, 0xfe, 0xb4, + 0x14, 0x4d, 0xb7, 0xae, 0x7b, 0xb3, 0x54, 0x37, 0xc4, 0x87, 0xc9, 0x6f, + 0xa9, 0x12, 0x1f, 0xed, 0x97, 0xa0, 0x09, 0x19, 0x52, 0x7f, 0x97, 0x25, + 0xdc, 0x50, 0x73, 0xe4, 0xe5, 0xcc, 0x09, 0xfc, 0xe9, 0x7d, 0x41, 0x34, + 0x59, 0x47, 0xe9, 0x8b, 0xc6, 0x49, 0xfa, 0xc0, 0x72, 0x2d, 0x19, 0x8d, + 0xb5, 0x6c, 0x5f, 0x9b, 0xd3, 0xf0, 0xb1, 0x8e, 0xb5, 0x61, 0xfd, 0x50, + 0x97, 0xe0, 0xb9, 0x2a, 0xea, 0xf1, 0x33, 0x9d, 0xb5, 0x9d, 0x54, 0x58, + 0x2a, 0x02, 0x0e, 0xdd, 0xe0, 0xf2, 0x9d, 0x29, 0x58, 0xb3, 0x85, 0x89, + 0x1f, 0x66, 0xd4, 0xcd, 0x07, 0x5d, 0xd1, 0xba, 0xb6, 0xb7, 0xbb, 0xba, + 0x32, 0x71, 0x8b, 0x46, 0x52, 0xdd, 0x76, 0x28, 0xb9, 0xe7, 0x25, 0xf3, + 0x37, 0x9e, 0x8a, 0xab, 0x21, 0xf0, 0x8b, 0xbb, 0xb3, 0x55, 0xee, 0x4e, + 0xcd, 0x88, 0x2e, 0xe2, 0x74, 0x8f, 0x55, 0x16, 0x8a, 0xdd, 0xe2, 0x04, + 0xa3, 0x18, 0x70, 0xdc, 0x49, 0x4a, 0x2f, 0xdb, 0xf3, 0xbf, 0x4b, 0xa1, + 0xe0, 0x24, 0x2d, 0xd7, 0xf5, 0x3a, 0x57, 0x46, 0x3c, 0xb5, 0xb3, 0x41, + 0xb1, 0x44, 0x0b, 0xd2, 0x2b, 0x2e, 0xac, 0x7d, 0xb6, 0x1c, 0x2b, 0xa6, + 0xf7, 0xeb, 0x9b, 0x22, 0x1c, 0xad, 0xd5, 0xca, 0x72, 0x04, 0x18, 0x69, + 0x96, 0x2c, 0xd0, 0x19, 0x71, 0x38, 0xcc, 0xf6, 0x33, 0x2f, 0x7b, 0xf1, + 0x4e, 0x0c, 0xb4, 0xb9, 0x37, 0xed, 0x9f, 0x66, 0x0c, 0xad, 0x7e, 0xd6, + 0xeb, 0x37, 0x4e, 0x83, 0xe0, 0x32, 0x80, 0xba, 0xee, 0x9b, 0x8d, 0xce, + 0x2f, 0x49, 0x99, 0x7c, 0x3f, 0x32, 0xea, 0xda, 0x8a, 0x9a, 0xd6, 0x82, + 0xda, 0xe9, 0x12, 0xe3, 0xb8, 0xad, 0x72, 0x5b, 0xac, 0x35, 0x61, 0xad, + 0x6c, 0xea, 0x77, 0x19, 0x5a, 0x85, 0xad, 0x95, 0x66, 0xc0, 0x67, 0x6a, + 0x16, 0xe4, 0x84, 0xca, 0x7a, 0xf9, 0x3e, 0x57, 0xdd, 0x2d, 0x69, 0xee, + 0x66, 0xeb, 0xfb, 0xf5, 0x21, 0x71, 0x61, 0x1a, 0x10, 0xdc, 0x8a, 0x92, + 0x74, 0x19, 0x35, 0xb7, 0xd8, 0x76, 0xbb, 0x2f, 0x22, 0xdf, 0x81, 0x51, + 0x5c, 0x1e, 0x52, 0xfa, 0xba, 0x71, 0x8c, 0x44, 0x90, 0xa7, 0x53, 0x04, + 0x51, 0xd2, 0xc9, 0xb4, 0xa4, 0x4b, 0x5e, 0xa3, 0xe9, 0xf5, 0xb3, 0x94, + 0xd4, 0x5d, 0xdf, 0x3c, 0x02, 0xfd, 0x23, 0x44, 0xa7, 0x06, 0x71, 0x36, + 0x5d, 0xf2, 0xfc, 0x5d, 0x72, 0xae, 0x94, 0xf3, 0xee, 0xb8, 0xbf, 0x4a, + 0x6b, 0xab, 0x06, 0x1e, 0x6f, 0x2f, 0xde, 0x6e, 0x07, 0xc7, 0x6b, 0x37, + 0x85, 0x03, 0xdc, 0x03, 0x92, 0x31, 0x26, 0x76, 0xa2, 0xa7, 0x86, 0xcf, + 0x97, 0x41, 0xb5, 0x75, 0xde, 0x7f, 0xd4, 0xf9, 0x39, 0xd9, 0xad, 0xd5, + 0x56, 0x76, 0xd6, 0x44, 0x51, 0x06, 0xc6, 0xc7, 0xda, 0x7b, 0xb9, 0x8f, + 0x60, 0x17, 0x69, 0xa2, 0x8a, 0xa5, 0xa5, 0x73, 0xea, 0x77, 0xd8, 0xe3, + 0x69, 0xc7, 0xfc, 0x12, 0x09, 0x19, 0x9f, 0x47, 0x4a, 0xde, 0x40, 0xda, + 0x6a, 0x68, 0x89, 0xde, 0x3f, 0x12, 0xda, 0x2d, 0xff, 0x8a, 0xdd, 0x7c, + 0x4d, 0x76, 0x3c, 0x72, 0x31, 0xe3, 0x93, 0x6a, 0xc4, 0x9e, 0xb1, 0xad, + 0xbe, 0x43, 0x31, 0x9a, 0x03, 0x14, 0x11, 0x84, 0x7f, 0xb6, 0xde, 0xf0, + 0x3a, 0xd9, 0xb8, 0x89, 0x13, 0x31, 0xe5, 0x49, 0x9b, 0x43, 0x75, 0xfb, + 0xa4, 0x68, 0xcb, 0x7a, 0x01, 0x1f, 0x2e, 0xb4, 0xba, 0xaf, 0x4a, 0xf7, + 0x19, 0x5c, 0xdd, 0x2a, 0xe2, 0xa1, 0x3a, 0x00, 0x70, 0x87, 0x8b, 0x02, + 0xb1, 0x1e, 0x2c, 0x65, 0xf0, 0x6a, 0x54, 0xf2, 0x8d, 0x1d, 0xc2, 0x3f, + 0x0c, 0xc3, 0xd6, 0xb3, 0xe6, 0xcd, 0xcb, 0xd8, 0x19, 0x6b, 0xdc, 0x0f, + 0x4b, 0x34, 0xba, 0x87, 0xb0, 0xb4, 0xd9, 0xe4, 0xe7, 0x39, 0xbe, 0x2f, + 0xea, 0x84, 0x6f, 0xea, 0x03, 0xba, 0xb0, 0x6b, 0xa8, 0x29, 0x73, 0xae, + 0x37, 0x82, 0x2c, 0xb2, 0xde, 0xb8, 0x4c, 0x8a, 0xfc, 0xde, 0x1a, 0x3c, + 0x35, 0x32, 0x56, 0x2f, 0x83, 0xe1, 0x44, 0xc4, 0x7f, 0x08, 0xbd, 0x7b, + 0x9e, 0xdf, 0x41, 0xff, 0xf5, 0x8e, 0xa9, 0x5f, 0x6a, 0x04, 0xb8, 0x87, + 0xbe, 0x4a, 0x8c, 0xf9, 0x25, 0xfa, 0xa2, 0x31, 0xf9, 0x76, 0x1f, 0xfc, + 0xf2, 0x7d, 0xdf, 0x12, 0x59, 0x0c, 0x29, 0xe7, 0x0b, 0x20, 0x0f, 0x13, + 0xb1, 0x4c, 0xc9, 0xe4, 0xa4, 0xc7, 0xcc, 0x06, 0xec, 0x39, 0xb2, 0xcc, + 0xd6, 0x7f, 0xff, 0x11, 0x35, 0x68, 0xfd, 0xd0, 0xf2, 0x73, 0xd5, 0x9e, + 0x39, 0x08, 0x56, 0x39, +}; +#endif + +/* q=(p-1)/2 for prime prime_weak_1024 */ +static const unsigned char sub2_prime_weak_1024[] = { + 0x72, 0x41, 0x04, 0xa5, 0x35, 0xdf, 0x4d, 0xa8, 0x88, 0xd0, 0x3a, 0x12, + 0xff, 0xa8, 0x0e, 0x05, 0x6b, 0x68, 0x5e, 0x69, 0x92, 0x44, 0xba, 0xba, + 0x59, 0xeb, 0x35, 0xfa, 0x63, 0xaf, 0xb5, 0x76, 0x0f, 0x1d, 0x10, 0x01, + 0x0b, 0x3a, 0xe6, 0x22, 0x25, 0x5f, 0xad, 0xac, 0x56, 0xff, 0x58, 0x0c, + 0x35, 0x1c, 0x45, 0xe5, 0xed, 0xe8, 0xbb, 0xa1, 0x71, 0xd1, 0xc3, 0xc5, + 0x4c, 0x97, 0x08, 0xec, 0x64, 0x81, 0x42, 0x0e, 0xe9, 0x33, 0x94, 0x5e, + 0xc7, 0xfd, 0xab, 0x79, 0x31, 0xc5, 0x16, 0x3e, 0x1c, 0x77, 0xd1, 0x06, + 0x35, 0x1b, 0x68, 0x4c, 0x89, 0xa3, 0xa4, 0x20, 0x72, 0xe6, 0xed, 0x82, + 0x26, 0x51, 0x09, 0x1f, 0x8d, 0x4d, 0xcd, 0x07, 0x5c, 0x34, 0x3e, 0x80, + 0xde, 0x0b, 0x37, 0xa8, 0xb2, 0x0e, 0xd5, 0x90, 0xba, 0xa4, 0x89, 0x1b, + 0x56, 0x32, 0xc5, 0xfc, 0x43, 0xec, 0xd7, 0xe8, +}; + +/* q=(p-1)/2 for prime prime_weak_2048 */ +static const unsigned char sub2_prime_weak_2048[] = { + 0x5a, 0x84, 0x41, 0xb5, 0x11, 0x1c, 0xef, 0x81, 0x7f, 0x39, 0xb5, 0xfd, + 0x86, 0xa7, 0x56, 0xa5, 0x87, 0xfe, 0xd9, 0x13, 0xf3, 0xe9, 0x1a, 0xea, + 0x41, 0xf9, 0x5e, 0x14, 0xff, 0xa8, 0x7b, 0xb5, 0xdb, 0xca, 0x1c, 0x7f, + 0xee, 0x3c, 0xb3, 0xcd, 0x40, 0x45, 0xe1, 0x10, 0x27, 0x29, 0x81, 0x15, + 0x03, 0xf6, 0x54, 0xde, 0x91, 0x68, 0xdd, 0x1a, 0x98, 0x88, 0x10, 0xdb, + 0x27, 0xf0, 0xca, 0x05, 0xd8, 0x59, 0x9b, 0x90, 0x06, 0xb5, 0x6a, 0x48, + 0xae, 0x42, 0xf4, 0xd7, 0x45, 0x79, 0x4a, 0x73, 0xa2, 0x7a, 0xe6, 0x02, + 0x41, 0x2b, 0xc0, 0x90, 0xc1, 0x8c, 0x24, 0x16, 0xf1, 0x8e, 0x50, 0xbf, + 0xf7, 0x08, 0x5c, 0xf4, 0x20, 0x7e, 0x6d, 0x21, 0xbe, 0x8c, 0x72, 0x34, + 0x4f, 0xf6, 0xaf, 0x61, 0x8f, 0xc0, 0x77, 0xae, 0x12, 0x2f, 0x34, 0x56, + 0x4c, 0xce, 0x3a, 0x4b, 0x2d, 0xd9, 0xf3, 0xd9, 0x32, 0xbc, 0x7d, 0x9e, + 0x08, 0x80, 0x02, 0x25, 0xcc, 0x07, 0x45, 0x3d, 0x9c, 0x04, 0x1a, 0x5c, + 0xb6, 0x84, 0x32, 0x8b, 0xc8, 0xa4, 0xb1, 0x23, 0xb2, 0x55, 0xe3, 0x68, + 0x79, 0x67, 0xc4, 0x83, 0xf5, 0xd1, 0xae, 0xf9, 0xd1, 0x7d, 0xee, 0xbd, + 0x9f, 0x3f, 0x51, 0x6b, 0x8d, 0x21, 0x56, 0xba, 0x5e, 0xdd, 0xe7, 0x90, + 0xc8, 0xe9, 0x35, 0x8e, 0xce, 0xd4, 0x02, 0xc4, 0x27, 0xd8, 0xa2, 0xd1, + 0x43, 0x48, 0x09, 0x7e, 0xe5, 0x92, 0xf0, 0x89, 0x04, 0x23, 0x8e, 0xc1, + 0x96, 0x8a, 0x21, 0x10, 0x04, 0x18, 0xaa, 0x16, 0x4d, 0xa4, 0xfb, 0x5b, + 0x16, 0x92, 0xf5, 0x14, 0x5f, 0x89, 0x95, 0xe9, 0xa2, 0xc6, 0x81, 0x4f, + 0xd2, 0xd5, 0x75, 0xe0, 0x24, 0x68, 0x83, 0x73, 0x0f, 0x50, 0x1f, 0x02, + 0x10, 0x3c, 0xbe, 0x68, 0xe8, 0x56, 0x30, 0xc4, 0xb6, 0x1d, 0xc4, 0x51, + 0xaa, 0x36, 0x40, 0x2c, +}; + +/* q=(p-1)/2 for prime prime_weak_3072 */ +static const unsigned char sub2_prime_weak_3072[] = { + 0x4a, 0x19, 0x63, 0xa3, 0xa8, 0xd1, 0x81, 0xcd, 0xf9, 0x28, 0xae, 0x34, + 0xd7, 0x82, 0x9e, 0x3b, 0x31, 0x51, 0x76, 0x2d, 0x66, 0x6f, 0xc0, 0x79, + 0x96, 0xe7, 0x52, 0xd2, 0xcf, 0x16, 0xd5, 0xaf, 0xc8, 0xde, 0xc9, 0xb0, + 0xeb, 0xbd, 0xb8, 0xb7, 0xf9, 0xc9, 0x5f, 0xd4, 0x7e, 0x66, 0x80, 0x7a, + 0xa4, 0x84, 0x00, 0x46, 0x69, 0x7f, 0x25, 0x6c, 0x15, 0xb7, 0x21, 0x60, + 0x6c, 0x51, 0x45, 0x95, 0x8c, 0x01, 0x56, 0xf4, 0x27, 0x22, 0x04, 0x93, + 0x50, 0xd0, 0xe5, 0x4c, 0xf1, 0xec, 0xcd, 0x43, 0x9e, 0x41, 0xb5, 0x0d, + 0x3d, 0xb0, 0x5d, 0x3c, 0x06, 0x3c, 0xa8, 0x0f, 0xef, 0x20, 0x0a, 0x2c, + 0x0c, 0x54, 0x95, 0xba, 0x08, 0xda, 0x32, 0xff, 0x4e, 0x81, 0xd2, 0x77, + 0xef, 0xba, 0x47, 0x66, 0xbd, 0xea, 0x79, 0x94, 0x3a, 0xd9, 0x18, 0xf7, + 0xcc, 0xb2, 0xe5, 0xad, 0x3b, 0xe5, 0x51, 0x12, 0x94, 0x57, 0x7d, 0x4f, + 0xf5, 0xed, 0x66, 0x1a, 0x3d, 0x90, 0xeb, 0xed, 0xaa, 0x20, 0x73, 0x17, + 0xed, 0xe0, 0x67, 0x6e, 0x72, 0xe4, 0x93, 0xcb, 0xcc, 0xce, 0x01, 0x27, + 0x92, 0x44, 0x49, 0xef, 0xd4, 0xe3, 0x9f, 0x08, 0x64, 0x55, 0x35, 0x67, + 0x6d, 0x23, 0x4a, 0x46, 0x56, 0x8f, 0x78, 0xe5, 0xe9, 0xe6, 0xa1, 0xa2, + 0x5a, 0x10, 0x48, 0xcf, 0x7b, 0x68, 0x81, 0xf7, 0xe1, 0x02, 0x7b, 0x83, + 0xed, 0xd6, 0x51, 0x14, 0x46, 0x3e, 0x8e, 0xae, 0x96, 0x2d, 0x7e, 0x13, + 0x2d, 0x85, 0xac, 0x5c, 0xcd, 0x23, 0xf4, 0xd0, 0x6f, 0xd2, 0xad, 0x79, + 0xf2, 0xeb, 0x75, 0xb4, 0xda, 0xa7, 0x5e, 0x38, 0xe0, 0x6b, 0x4d, 0xdc, + 0x20, 0x1d, 0xe2, 0xb9, 0x2e, 0xa6, 0x8d, 0x8b, 0x9e, 0x9b, 0x52, 0x58, + 0x8a, 0xd3, 0xcd, 0x39, 0x75, 0xf9, 0x4f, 0x20, 0x68, 0xde, 0x1a, 0xe3, + 0xe8, 0x8d, 0x47, 0x8e, 0x15, 0xaf, 0x6c, 0x59, 0x9d, 0xa2, 0x57, 0x7a, + 0xc0, 0xe8, 0x45, 0x1b, 0xd5, 0xdd, 0x11, 0x5e, 0x16, 0xc4, 0x17, 0x92, + 0x5d, 0xd8, 0x0d, 0x54, 0xaf, 0x83, 0x88, 0x36, 0xe3, 0x5d, 0x9e, 0x51, + 0x33, 0x7c, 0xdc, 0xca, 0xeb, 0x2f, 0x46, 0x67, 0x02, 0x6e, 0x59, 0xa6, + 0x5e, 0x74, 0xe2, 0xe5, 0x8c, 0xcb, 0xf1, 0x50, 0x84, 0x9c, 0x6b, 0xc1, + 0x53, 0x5f, 0xe4, 0x8a, 0x92, 0xf8, 0x96, 0x3b, 0xfe, 0x5e, 0xfd, 0x3f, + 0xc9, 0x7f, 0x6b, 0x18, 0x81, 0x91, 0x96, 0x8b, 0x97, 0xa8, 0xcf, 0x2e, + 0x58, 0xb4, 0x60, 0x1f, 0xa1, 0x4c, 0x80, 0x2a, 0x99, 0xb4, 0x6b, 0xf7, + 0x28, 0xbe, 0x9f, 0x01, 0xa7, 0x81, 0x2f, 0x93, 0xee, 0x8b, 0x8c, 0x36, + 0x0f, 0x4e, 0xc8, 0xb2, 0xfc, 0x6b, 0xd3, 0x4f, 0xd0, 0xdd, 0x54, 0x3b, + 0x72, 0x6c, 0x7a, 0x2c, 0xc8, 0x0b, 0x33, 0xc4, 0x61, 0x54, 0xf2, 0x16, +}; + +/* q=(p-1)/2 for prime prime_weak_4096 */ +static const unsigned char sub2_prime_weak_4096[] = { + 0x7f, 0xa8, 0x69, 0xe6, 0x44, 0x8b, 0xaf, 0x5b, 0x7c, 0x51, 0xd8, 0x71, + 0x7c, 0xcf, 0x8b, 0xd0, 0xc9, 0x2b, 0x0a, 0x89, 0x89, 0x4f, 0x8c, 0x6e, + 0x03, 0x80, 0x61, 0x24, 0xe4, 0xec, 0xea, 0x05, 0x71, 0xeb, 0xfb, 0x30, + 0x10, 0xd4, 0xbd, 0xe0, 0x07, 0x87, 0x57, 0x1f, 0x3b, 0xbb, 0xa4, 0x6c, + 0x7e, 0xa1, 0x76, 0x5a, 0xd7, 0x00, 0x55, 0xe7, 0x68, 0x88, 0xe5, 0x69, + 0x32, 0x2d, 0x51, 0xb5, 0xdd, 0x68, 0xc9, 0xf5, 0x6d, 0x69, 0x50, 0x30, + 0x1c, 0x85, 0x9a, 0x27, 0x86, 0x78, 0xd8, 0x29, 0x3a, 0xa8, 0x9e, 0x94, + 0x01, 0x5a, 0xde, 0xa1, 0x4c, 0x10, 0x53, 0xa1, 0x5c, 0x90, 0xcd, 0x57, + 0x5b, 0x20, 0xbd, 0xb8, 0x71, 0xec, 0xd7, 0xc0, 0x8d, 0x60, 0x9c, 0xce, + 0x29, 0x2b, 0x65, 0x86, 0xb5, 0x33, 0xb7, 0x9e, 0x89, 0x3b, 0x39, 0xa9, + 0xca, 0x96, 0xe0, 0x82, 0x6d, 0xc1, 0xf2, 0x68, 0x5f, 0x16, 0xd3, 0x3d, + 0x07, 0xc0, 0x0d, 0xe8, 0x0b, 0x0a, 0x1d, 0x70, 0x24, 0x7d, 0x7a, 0xa2, + 0x54, 0x70, 0x5f, 0xcc, 0x70, 0xab, 0x75, 0x3b, 0x5b, 0x71, 0x51, 0xad, + 0x8a, 0xbc, 0x88, 0x58, 0x20, 0xee, 0x14, 0x87, 0x8f, 0x1b, 0xb4, 0xe6, + 0x89, 0xdf, 0x16, 0xf0, 0x39, 0x9c, 0x34, 0x76, 0xa8, 0x35, 0x68, 0x7d, + 0xe5, 0x8b, 0x9d, 0x2c, 0xfd, 0xf6, 0x5d, 0x3a, 0xdb, 0x27, 0x17, 0xb7, + 0x4b, 0xcc, 0x07, 0x3c, 0x92, 0xee, 0xec, 0x7a, 0x9a, 0x5a, 0x50, 0x3f, + 0x5d, 0x34, 0x3e, 0x27, 0xfd, 0xf0, 0x4b, 0xa3, 0x28, 0x0f, 0x25, 0x2c, + 0xce, 0x6e, 0x1a, 0x71, 0x15, 0x5a, 0xe4, 0x2c, 0x4a, 0x24, 0x4f, 0xdc, + 0x1b, 0x65, 0xe7, 0x1b, 0x58, 0xbe, 0x72, 0xc6, 0xad, 0xa1, 0xeb, 0xc4, + 0x6f, 0xd7, 0x68, 0x64, 0xa1, 0x2f, 0x85, 0x71, 0xb1, 0x88, 0xe2, 0x86, + 0x40, 0x2a, 0xac, 0x6b, 0xf9, 0x28, 0xb7, 0x59, 0xbf, 0x4e, 0x8e, 0x61, + 0xb0, 0xac, 0xae, 0x23, 0xea, 0x4c, 0xe0, 0x33, 0xfd, 0xd9, 0x6b, 0x08, + 0xed, 0x49, 0x2d, 0xb5, 0xe9, 0x38, 0x5b, 0xb4, 0xb9, 0x73, 0x83, 0x6e, + 0xa0, 0x56, 0x40, 0xa8, 0x8e, 0xa9, 0x3d, 0x22, 0x9c, 0x44, 0x93, 0x96, + 0x62, 0x25, 0xbf, 0x2f, 0x3c, 0xf7, 0xc2, 0x35, 0x12, 0x26, 0xce, 0x4f, + 0x65, 0x3a, 0xae, 0x03, 0x36, 0xe8, 0x29, 0x74, 0xed, 0x4f, 0xa3, 0x5b, + 0x31, 0x0e, 0xd9, 0xec, 0xf9, 0x3e, 0xeb, 0x61, 0x3d, 0x24, 0xbe, 0x6e, + 0xcd, 0xd5, 0x61, 0xc2, 0x05, 0x84, 0x19, 0xdc, 0x40, 0x61, 0x89, 0x47, + 0xd6, 0xd6, 0x07, 0xbf, 0xd7, 0xac, 0xb0, 0x86, 0xcc, 0x60, 0xfc, 0xb4, + 0x61, 0x8d, 0x88, 0x04, 0x62, 0x19, 0x9e, 0x52, 0x71, 0x6a, 0xf5, 0xb8, + 0xae, 0x8c, 0xbf, 0x02, 0xe5, 0x4d, 0x7a, 0xdd, 0xb8, 0xaa, 0xc1, 0xce, + 0x12, 0xa8, 0x1a, 0xbf, 0x96, 0xf5, 0xf9, 0x06, 0xf6, 0x9e, 0x5c, 0x38, + 0xde, 0x84, 0x7a, 0xc4, 0xbf, 0x2f, 0x1c, 0x20, 0x6b, 0xf6, 0xbb, 0xc6, + 0xbd, 0x76, 0x95, 0x4f, 0xfe, 0x00, 0xfa, 0x71, 0x67, 0xed, 0x46, 0x51, + 0xab, 0xee, 0x0a, 0x6b, 0x50, 0xec, 0xcb, 0xdc, 0xf3, 0x7e, 0x24, 0x3a, + 0xa1, 0xde, 0x9d, 0xc8, 0x8b, 0x9e, 0x19, 0xe5, 0x67, 0x14, 0x84, 0x8d, + 0xf4, 0x4e, 0xdb, 0x3a, 0x02, 0xaf, 0x17, 0x52, 0x8e, 0xbf, 0x9d, 0x54, + 0x96, 0x7b, 0x26, 0xa0, 0xc8, 0x5e, 0x2b, 0x0c, 0x29, 0x01, 0x48, 0x77, + 0xb8, 0xff, 0x9f, 0x06, 0x7c, 0x00, 0x02, 0x03, 0xea, 0x90, 0x13, 0x6e, + 0xae, 0x58, 0x9b, 0x81, 0x90, 0x06, 0x5a, 0x5b, 0x1c, 0xa4, 0xa4, 0xd5, + 0x73, 0xcc, 0x00, 0xd1, 0x17, 0x05, 0x19, 0xc1, 0x4f, 0x5c, 0x92, 0x5b, + 0xc0, 0x6f, 0xe9, 0xef, 0x82, 0x72, 0x28, 0x4e, +}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +/* q=(p-1)/2 for prime prime_weak_6144 */ +static const unsigned char sub2_prime_weak_6144[] = { + 0x51, 0x12, 0x4b, 0x5b, 0x10, 0xb4, 0x6a, 0xbf, 0x16, 0x30, 0x26, 0xe4, + 0x40, 0xac, 0xce, 0x0e, 0x38, 0x76, 0x12, 0x14, 0x5b, 0x29, 0x1b, 0x04, + 0xc3, 0xd5, 0x60, 0xad, 0xf2, 0xd3, 0x1f, 0x44, 0x2a, 0x02, 0xf1, 0x84, + 0x84, 0xe5, 0x36, 0xcd, 0xe2, 0x46, 0x93, 0x57, 0xeb, 0xf7, 0x4f, 0x86, + 0xde, 0xa2, 0x47, 0x7f, 0x66, 0xf9, 0x73, 0x6f, 0x56, 0x79, 0x01, 0x1b, + 0xee, 0x1a, 0xe1, 0x67, 0x66, 0xaf, 0xe2, 0xc3, 0x87, 0xcc, 0xd3, 0xed, + 0x87, 0x8d, 0x66, 0xbb, 0x55, 0x25, 0x52, 0x84, 0xb0, 0x30, 0x71, 0xac, + 0x72, 0x29, 0x03, 0x8d, 0xa1, 0x0b, 0x88, 0xa8, 0x15, 0xa0, 0x4a, 0xc6, + 0xa4, 0x50, 0x1a, 0x4a, 0x92, 0x9c, 0x67, 0x84, 0xca, 0x73, 0x2a, 0x83, + 0x45, 0x6f, 0x6e, 0x20, 0xa5, 0x6c, 0x8f, 0xc0, 0x41, 0x0e, 0xdc, 0x0f, + 0x42, 0x30, 0x6f, 0x76, 0xa7, 0xe0, 0x6c, 0x0e, 0xaa, 0x6d, 0x59, 0xf9, + 0x87, 0x2a, 0x1f, 0x8c, 0x44, 0x7f, 0x92, 0x98, 0xe3, 0x0b, 0x73, 0x38, + 0x7d, 0x62, 0x04, 0x7e, 0x00, 0x45, 0xfb, 0x4e, 0x94, 0xc5, 0x2c, 0xa4, + 0xf6, 0xae, 0x1a, 0x3d, 0x42, 0x3c, 0xa0, 0x60, 0xbf, 0x41, 0x0b, 0x9b, + 0x64, 0x4b, 0x5a, 0xe9, 0x7c, 0xed, 0xe0, 0x08, 0x4f, 0xfc, 0x4a, 0x9a, + 0xb7, 0xd8, 0x5c, 0xa4, 0x44, 0x6e, 0x78, 0x26, 0x98, 0x66, 0x8a, 0xfe, + 0x97, 0xdd, 0x0c, 0x66, 0x4a, 0x28, 0x1f, 0xff, 0x30, 0x1e, 0xbd, 0x23, + 0x77, 0xe2, 0x66, 0x8a, 0x70, 0x77, 0xcb, 0xc0, 0xd0, 0xca, 0xf1, 0xd2, + 0xc8, 0xcd, 0x7b, 0xcf, 0xbe, 0x7d, 0x06, 0x34, 0xdb, 0x6f, 0xed, 0xd7, + 0x98, 0xec, 0x54, 0x3b, 0xb5, 0x5d, 0x5d, 0x40, 0x7f, 0x9f, 0xaf, 0xc3, + 0x4f, 0xc0, 0x01, 0x8f, 0x68, 0x2f, 0x9b, 0xa8, 0x30, 0xfe, 0x01, 0xec, + 0x49, 0xd0, 0xbc, 0xb1, 0x7d, 0x49, 0x5c, 0x25, 0x33, 0x4c, 0xeb, 0xc2, + 0xc6, 0x87, 0x83, 0x81, 0x01, 0xc1, 0xc6, 0x10, 0x52, 0xce, 0x17, 0xfe, + 0x91, 0x2d, 0x78, 0x4a, 0x8f, 0x5f, 0x8b, 0xf8, 0x9d, 0x20, 0x3f, 0xe7, + 0x4a, 0x31, 0x2f, 0xac, 0x72, 0xf9, 0xcc, 0xc6, 0x1c, 0x47, 0x82, 0x88, + 0x34, 0x75, 0x20, 0xda, 0xe0, 0x37, 0xa7, 0xb1, 0xc3, 0x8e, 0xcc, 0x61, + 0x98, 0xb3, 0x0f, 0x4f, 0x96, 0x9e, 0x37, 0x4f, 0xd9, 0xe7, 0xc7, 0x3b, + 0xfa, 0x9e, 0x28, 0xad, 0x77, 0x41, 0x50, 0xe2, 0xa9, 0x90, 0x3a, 0xe8, + 0xd4, 0x01, 0x1b, 0xa1, 0x84, 0x0b, 0x02, 0x80, 0xf6, 0xf5, 0x78, 0xa9, + 0x2c, 0x10, 0x4a, 0x42, 0x82, 0x97, 0x24, 0x1f, 0xa3, 0xa4, 0xa7, 0x80, + 0xa2, 0x5e, 0x8f, 0x21, 0x75, 0x48, 0x48, 0x11, 0xcc, 0x82, 0xfe, 0x9b, + 0xa0, 0x86, 0x17, 0xe2, 0x10, 0x02, 0x4c, 0xf7, 0x07, 0xdd, 0xe1, 0x36, + 0x85, 0x3f, 0x92, 0x2d, 0x0b, 0xd2, 0x75, 0xce, 0x33, 0xff, 0x32, 0x06, + 0xf5, 0x5b, 0x90, 0x24, 0x20, 0x1d, 0x92, 0xf6, 0xa8, 0xae, 0x7e, 0x10, + 0x0c, 0x5b, 0x7e, 0x1f, 0x6d, 0xec, 0xd0, 0xde, 0xcf, 0x77, 0x65, 0xae, + 0x81, 0x7f, 0x3f, 0xa1, 0x4e, 0xe4, 0xe7, 0x7d, 0x70, 0xec, 0x79, 0x02, + 0xb3, 0x9a, 0xc4, 0x27, 0x6b, 0xb8, 0x4b, 0xb1, 0xda, 0x86, 0x30, 0x44, + 0xe0, 0x7f, 0x19, 0x6b, 0xd7, 0x25, 0xf8, 0x85, 0x57, 0x1e, 0x6f, 0x0c, + 0x4e, 0x0e, 0xe9, 0x6d, 0x79, 0x01, 0x46, 0xf8, 0x83, 0xeb, 0x2f, 0x5b, + 0xdd, 0x57, 0xc0, 0xcb, 0xf7, 0x70, 0x4e, 0xa8, 0xf9, 0x8e, 0xe0, 0xae, + 0xa1, 0xf1, 0x05, 0x86, 0x4e, 0x06, 0xba, 0x48, 0x90, 0x37, 0xb2, 0xf8, + 0xf9, 0x42, 0x01, 0x1c, 0x5a, 0xf2, 0x88, 0x10, 0xfe, 0x73, 0x61, 0xa5, + 0xb0, 0x24, 0xb5, 0x78, 0xea, 0xa8, 0x07, 0xb7, 0xc5, 0x8f, 0x40, 0x79, + 0xae, 0x94, 0xf7, 0x30, 0x55, 0x93, 0x52, 0xc6, 0x62, 0x26, 0x65, 0xd3, + 0x55, 0x71, 0xff, 0x68, 0xb3, 0xa4, 0x5a, 0x7d, 0x5f, 0xab, 0xff, 0x31, + 0x42, 0xd0, 0x56, 0x6e, 0x27, 0x38, 0x80, 0xe6, 0x09, 0x76, 0x40, 0x4a, + 0xaa, 0x6e, 0x0a, 0x4f, 0x10, 0x6d, 0x2d, 0x5e, 0xf7, 0x3b, 0x5f, 0x1c, + 0xe7, 0xde, 0xc5, 0x71, 0x87, 0x38, 0xc2, 0xf2, 0x1e, 0x31, 0x1d, 0xfc, + 0x37, 0x38, 0x6a, 0x6b, 0x17, 0x70, 0x2f, 0x08, 0xce, 0x99, 0xec, 0x98, + 0x7f, 0x9d, 0xe6, 0x15, 0x1c, 0xe2, 0x37, 0xfe, 0xe5, 0x44, 0x56, 0x94, + 0x51, 0x74, 0x54, 0x6b, 0xf3, 0x04, 0x06, 0xd7, 0xce, 0xec, 0x64, 0x20, + 0xb3, 0x42, 0x33, 0x43, 0x15, 0xc0, 0x9d, 0xb6, 0x63, 0x3b, 0x13, 0xb5, + 0x06, 0xcb, 0x07, 0x32, 0x9f, 0x6f, 0xfa, 0xb4, 0x02, 0x4e, 0x96, 0x93, + 0x45, 0xe5, 0x05, 0x3c, 0x95, 0x5a, 0x50, 0x59, 0x8c, 0x25, 0x75, 0x35, + 0x69, 0x0a, 0x66, 0xa3, 0xc2, 0xcf, 0xc3, 0x6b, 0xef, 0x55, 0x0f, 0x07, + 0x38, 0x89, 0xf6, 0x7f, 0x3e, 0x34, 0xdf, 0x91, 0x78, 0x30, 0xa8, 0x4b, + 0xbb, 0xe1, 0x15, 0x98, 0xc4, 0x88, 0xeb, 0x04, 0x58, 0xea, 0x67, 0x5d, + 0x50, 0x0b, 0x4e, 0x15, 0xc5, 0x9f, 0x0b, 0xec, 0x75, 0x70, 0xf8, 0x90, + 0x3f, 0x9f, 0x3b, 0x4f, 0x97, 0xa3, 0x61, 0xd7, 0xe2, 0x5d, 0x64, 0xb1, + 0xfb, 0xdd, 0xcc, 0x36, 0xb0, 0x0b, 0x02, 0x0a, 0x61, 0x76, 0x97, 0x61, + 0x80, 0x27, 0xc7, 0xce, 0xe3, 0x6c, 0xe6, 0xe0, 0xd5, 0xa7, 0x33, 0xf6, + 0xfc, 0x69, 0x31, 0x09, 0xfd, 0x08, 0x98, 0xdd, 0x84, 0x6e, 0xa7, 0x44, + 0xa5, 0x7f, 0x83, 0xc4, 0xda, 0xb6, 0x61, 0xff, 0x3b, 0x36, 0x88, 0x26, + 0x0f, 0x08, 0x2a, 0x91, 0x4a, 0xff, 0x04, 0xd2, 0xb7, 0x39, 0x86, 0x15, +}; + +/* q=(p-1)/2 for prime prime_weak_8192 */ +static const unsigned char sub2_prime_weak_8192[] = { + 0x49, 0xef, 0xb6, 0x9b, 0xee, 0x15, 0x52, 0x55, 0xae, 0xee, 0x39, 0xa1, + 0x09, 0x0c, 0x47, 0x9c, 0xa3, 0xb9, 0xfa, 0x9f, 0x5e, 0x37, 0x06, 0x95, + 0x34, 0x2e, 0xa9, 0xa7, 0x91, 0x46, 0x54, 0x54, 0x25, 0x56, 0x35, 0x30, + 0x2a, 0x65, 0x0d, 0x3a, 0xed, 0x42, 0x81, 0x2f, 0x40, 0x5d, 0xcd, 0xad, + 0x3a, 0x4b, 0x34, 0xe1, 0x3e, 0x42, 0x0f, 0xbb, 0x06, 0xa9, 0xf2, 0x05, + 0x99, 0x79, 0xa5, 0xfb, 0x49, 0x2d, 0x96, 0x4c, 0x2e, 0xd4, 0xb0, 0x6e, + 0x0b, 0xad, 0xfd, 0xda, 0x87, 0x1c, 0x57, 0x31, 0x8b, 0x3c, 0xd2, 0x62, + 0xbb, 0x3a, 0x10, 0x4b, 0xad, 0xee, 0x54, 0xc4, 0x68, 0x8a, 0x23, 0x1f, + 0x0e, 0xf3, 0x65, 0x5a, 0x9c, 0x2b, 0xfe, 0xf5, 0xb3, 0x15, 0x7d, 0x46, + 0x18, 0x03, 0xf5, 0x5a, 0x5e, 0x3c, 0x99, 0x8a, 0x6f, 0xc7, 0x8e, 0xb0, + 0x23, 0xe3, 0x91, 0xec, 0xbf, 0xf1, 0x8e, 0x4a, 0x54, 0xdd, 0x96, 0x8d, + 0x9b, 0xb2, 0x10, 0x67, 0xb4, 0x29, 0x1c, 0xec, 0xb7, 0x91, 0xa8, 0x59, + 0x33, 0xe4, 0x23, 0xd5, 0x1c, 0xcb, 0x69, 0x7e, 0xcd, 0xce, 0x43, 0x38, + 0xec, 0x3e, 0x33, 0xda, 0xbd, 0x4e, 0xa7, 0xfc, 0x47, 0x9a, 0x32, 0x65, + 0xed, 0xc2, 0x88, 0xcb, 0xc3, 0x7b, 0xd0, 0x8c, 0x95, 0x08, 0x3d, 0x79, + 0x0a, 0x8d, 0x86, 0x37, 0x32, 0x78, 0x8c, 0x29, 0xfc, 0xcd, 0x6e, 0xbe, + 0x06, 0xbe, 0x1e, 0x9c, 0xce, 0x51, 0xe2, 0xfc, 0x34, 0x37, 0xda, 0x1a, + 0xfc, 0x0e, 0xdc, 0x64, 0x55, 0xf5, 0x2c, 0x79, 0xdd, 0xbc, 0x79, 0xf1, + 0x53, 0x0b, 0x59, 0xa5, 0x05, 0x2b, 0x2d, 0xa2, 0x56, 0x65, 0xb3, 0x2e, + 0xd1, 0xb1, 0x38, 0xc8, 0x82, 0xea, 0x4b, 0xb9, 0x19, 0xbb, 0xa1, 0x98, + 0x9a, 0xce, 0x21, 0xdc, 0x6a, 0xc2, 0xed, 0xc7, 0x14, 0x65, 0x94, 0xcc, + 0x5b, 0xff, 0x35, 0x7b, 0x04, 0x44, 0xc1, 0x7e, 0x73, 0x2e, 0xb1, 0x34, + 0x2a, 0xd6, 0x1d, 0xce, 0xc1, 0x66, 0x83, 0x08, 0x29, 0xc9, 0x8e, 0xb3, + 0x35, 0x67, 0x31, 0x96, 0x24, 0x9b, 0x79, 0x86, 0x8e, 0x1f, 0x92, 0x68, + 0x3f, 0xd9, 0x50, 0x67, 0xbb, 0x15, 0x0b, 0x51, 0x37, 0xb5, 0xfa, 0x7f, + 0x5a, 0xe5, 0x4c, 0xa2, 0x3e, 0x7e, 0x1d, 0xe0, 0xf2, 0x04, 0xfa, 0xbd, + 0xb6, 0xb6, 0x50, 0x8a, 0x88, 0x00, 0x26, 0x3a, 0xa6, 0x95, 0x40, 0x4a, + 0xc8, 0x4d, 0x0a, 0xaf, 0x3b, 0x94, 0x47, 0x41, 0xa0, 0x42, 0x8f, 0x96, + 0xb8, 0x0b, 0xd0, 0x58, 0x3e, 0xf2, 0xfd, 0x40, 0xa8, 0xdf, 0x5a, 0x0b, + 0x7b, 0x2a, 0x4f, 0x87, 0x51, 0xf1, 0x0f, 0x2f, 0x4d, 0x8e, 0x6d, 0x07, + 0x4f, 0xc9, 0xae, 0x7a, 0x21, 0xde, 0xce, 0x0f, 0x0b, 0x33, 0xda, 0xa1, + 0x4a, 0x38, 0x7c, 0x3c, 0x86, 0x16, 0xa4, 0x60, 0x92, 0x62, 0xe3, 0x54, + 0xb2, 0x06, 0x22, 0x76, 0x4c, 0xd7, 0x5a, 0xf3, 0xe0, 0x92, 0x45, 0x36, + 0x68, 0xd1, 0x5f, 0xa6, 0x35, 0x85, 0xf4, 0xf8, 0x4c, 0x1e, 0xe3, 0xce, + 0x70, 0xc6, 0x8d, 0x6f, 0x62, 0x22, 0x21, 0xe3, 0x5f, 0x9c, 0x31, 0x12, + 0xc8, 0xa1, 0x42, 0x00, 0x94, 0x65, 0xc0, 0x5e, 0x1c, 0xa6, 0x61, 0x9f, + 0xfb, 0x6f, 0xf0, 0xf3, 0x64, 0xbb, 0x9a, 0xab, 0x97, 0xc4, 0xce, 0xfd, + 0x57, 0x9b, 0xeb, 0x19, 0xb8, 0x9a, 0x7f, 0xa9, 0x14, 0x59, 0x9e, 0x4b, + 0x34, 0x08, 0x09, 0x64, 0xdf, 0x0c, 0x01, 0xe6, 0xf7, 0x93, 0x85, 0x68, + 0xe4, 0x87, 0x24, 0x80, 0x91, 0x39, 0xed, 0xaf, 0x88, 0xba, 0xb6, 0xf5, + 0x0b, 0x6d, 0x13, 0x3f, 0x9f, 0x3e, 0x65, 0xb1, 0x67, 0xe6, 0x46, 0xeb, + 0x75, 0x67, 0x13, 0x22, 0x52, 0x3a, 0x2a, 0x27, 0x15, 0x8a, 0xdd, 0x4e, + 0xd0, 0x9c, 0xf4, 0x7e, 0xf0, 0x14, 0xf8, 0x6b, 0xd5, 0x18, 0x35, 0xeb, + 0x8a, 0x1e, 0x50, 0x02, 0x5e, 0x76, 0xc1, 0x65, 0xe4, 0xed, 0xa7, 0x90, + 0x02, 0xb7, 0x22, 0xbc, 0xee, 0xad, 0x9e, 0xaf, 0x77, 0x78, 0xe1, 0xd5, + 0x59, 0xe9, 0x9d, 0x23, 0xd6, 0x71, 0x89, 0x50, 0xea, 0xfa, 0x12, 0x72, + 0xb6, 0x72, 0x4f, 0xda, 0x65, 0x4b, 0x24, 0xa8, 0x9b, 0x1d, 0xd2, 0x51, + 0x6b, 0x17, 0x21, 0x11, 0x99, 0x46, 0x64, 0x41, 0xf5, 0x0a, 0x68, 0x84, + 0x04, 0xc7, 0xed, 0xa6, 0x61, 0x00, 0x22, 0x03, 0x40, 0xea, 0x08, 0xae, + 0x95, 0x8f, 0x1b, 0xc0, 0x55, 0x5c, 0xc4, 0x7d, 0x55, 0xe9, 0x3b, 0x17, + 0x01, 0xdc, 0x1d, 0x85, 0xfe, 0x00, 0xcb, 0x71, 0xb1, 0x00, 0x38, 0x89, + 0xf4, 0x7d, 0xbc, 0x67, 0x1c, 0x83, 0x50, 0xa2, 0x6e, 0xb0, 0xb5, 0x2b, + 0x59, 0x66, 0xe5, 0xf6, 0x33, 0x92, 0x14, 0x3e, 0x9c, 0xc0, 0x1b, 0xe5, + 0xca, 0xa4, 0xcb, 0x74, 0x9f, 0xdb, 0xc4, 0xf5, 0x88, 0xbe, 0x1a, 0x24, + 0x9b, 0x16, 0x76, 0x41, 0x5b, 0x1e, 0x54, 0xcd, 0x69, 0xdc, 0x55, 0xdc, + 0x94, 0x17, 0xcb, 0xb8, 0x82, 0x54, 0x43, 0x15, 0xa1, 0xdb, 0x13, 0xa8, + 0xc5, 0x70, 0x51, 0xcc, 0x73, 0x99, 0x99, 0x7f, 0x0c, 0x5c, 0x9c, 0x4a, + 0xbc, 0x0b, 0xdf, 0x21, 0xd0, 0x04, 0x45, 0x82, 0xc6, 0xab, 0x6b, 0xa7, + 0x30, 0x80, 0x80, 0x02, 0x89, 0x36, 0x89, 0xca, 0xf5, 0x67, 0x6e, 0x5f, + 0xe2, 0x3a, 0x10, 0x44, 0x94, 0x02, 0xe9, 0x4b, 0xe1, 0x9a, 0x92, 0x36, + 0xa1, 0xee, 0xf1, 0x4f, 0x8a, 0xc0, 0x77, 0x6e, 0xe6, 0xc5, 0x44, 0x62, + 0xc9, 0x6d, 0x0e, 0xec, 0xe8, 0x5c, 0x7e, 0x8c, 0x66, 0x2c, 0x0d, 0xe5, + 0x1d, 0xe6, 0x4f, 0x66, 0xa9, 0xb0, 0xb4, 0x7a, 0xdd, 0x96, 0x81, 0x2a, + 0x95, 0xc9, 0xcf, 0x8c, 0x0b, 0x90, 0x58, 0xaa, 0x70, 0x7f, 0x1f, 0x35, + 0x08, 0x3f, 0xf7, 0x30, 0x3e, 0x65, 0x8a, 0x41, 0x34, 0x76, 0x84, 0x03, + 0xf3, 0x9a, 0x56, 0x93, 0xb7, 0xed, 0x2b, 0xf1, 0x53, 0xa5, 0xbf, 0x3d, + 0x17, 0x4a, 0xc4, 0x2c, 0x1e, 0xf3, 0xee, 0x51, 0xf9, 0x74, 0xfa, 0xca, + 0xfe, 0x8e, 0x2f, 0xcf, 0x2e, 0x06, 0x74, 0x1b, 0x6a, 0x84, 0x9a, 0xb3, + 0x13, 0xdc, 0x89, 0xc5, 0x07, 0x7d, 0x75, 0xd3, 0x2d, 0xeb, 0x03, 0xa6, + 0xe7, 0x86, 0xc8, 0x38, 0xd0, 0xf2, 0xac, 0x0f, 0x13, 0xb4, 0xb2, 0x0c, + 0x11, 0x03, 0xc5, 0x15, 0x74, 0x84, 0x00, 0x01, 0x45, 0x2c, 0x1c, 0x40, + 0x82, 0xec, 0x73, 0xae, 0x9e, 0xf4, 0x15, 0x8b, 0xfd, 0x14, 0xae, 0x75, + 0xc9, 0x86, 0x07, 0x94, 0xb4, 0x10, 0xc9, 0xb1, 0x79, 0x70, 0xa2, 0x1c, + 0x34, 0x90, 0xab, 0xc3, 0x38, 0xb5, 0x9e, 0x89, 0x27, 0x14, 0x6d, 0x85, + 0xea, 0x16, 0x62, 0xf4, 0x2f, 0xcd, 0xe9, 0x13, 0x04, 0x22, 0xd2, 0x59, + 0x58, 0xaf, 0x68, 0x8c, 0x1f, 0x31, 0x46, 0xbb, 0xd0, 0x31, 0x03, 0xba, + 0x86, 0x34, 0x3f, 0xd5, 0xe9, 0x16, 0x76, 0x47, 0x54, 0xb7, 0x1b, 0x9e, + 0xed, 0x99, 0xbd, 0x25, 0x5d, 0x43, 0x12, 0xa8, 0x35, 0x1b, 0x8d, 0xcd, + 0xc8, 0x8d, 0x2f, 0xc9, 0x90, 0xf5, 0x48, 0xee, 0x32, 0x5b, 0x03, 0xa2, + 0x1a, 0x3c, 0xb5, 0x35, 0x21, 0x27, 0x79, 0xf1, 0x51, 0x35, 0xff, 0xe6, + 0xeb, 0xe2, 0xb4, 0xdc, 0xc0, 0xbe, 0x9a, 0x5a, 0x2d, 0xdb, 0x41, 0xe1, + 0xb5, 0xcd, 0x70, 0x97, 0x2f, 0x1a, 0x00, 0x90, 0xf5, 0x9b, 0xe6, 0x62, + 0xaf, 0xbf, 0xd0, 0x6f, 0x07, 0xbc, 0xdb, 0xe1, 0x9d, 0xc2, 0x3e, 0xf4, + 0x4b, 0x7e, 0x99, 0x23, 0xbc, 0x1f, 0x11, 0x64, 0x4c, 0x67, 0x3d, 0x77, + 0x8e, 0xd3, 0x04, 0x9d, 0x7f, 0xfb, 0xb4, 0x6c, 0xdc, 0x74, 0xbf, 0x45, + 0x76, 0x11, 0x80, 0xcb, +}; +#endif + +/* Public keys in known small subgroups - fails in all modes */ +static const unsigned char pub_key_zero[] = {0}; +static const unsigned char pub_key_one[] = {1}; + +static const unsigned char pub_key_minus_1_ike_1536[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE}; + +static const unsigned char pub_key_minus_1_safe_2048[] = { + 0xe1, 0xa3, 0x6e, 0x49, 0x69, 0x07, 0x1c, 0x5f, 0xb4, 0x15, 0x35, 0x46, + 0x99, 0x52, 0xd0, 0x4e, 0xff, 0x4e, 0x4c, 0xb1, 0xe1, 0x59, 0xed, 0x2e, + 0x71, 0xf3, 0x80, 0x14, 0x54, 0xd0, 0xfc, 0x83, 0x20, 0x29, 0x15, 0x21, + 0xa6, 0x5f, 0x10, 0x81, 0x57, 0xf4, 0x2e, 0x49, 0xb2, 0xd1, 0x37, 0xe8, + 0x6a, 0xbf, 0x72, 0xf9, 0x55, 0x4e, 0x9e, 0xae, 0x20, 0xc5, 0xb6, 0xc5, + 0x91, 0x79, 0x0d, 0xa2, 0xdd, 0xb4, 0xbb, 0x50, 0x4e, 0x20, 0xca, 0x8a, + 0x8f, 0x82, 0x34, 0xb9, 0x6a, 0x3e, 0x9a, 0x67, 0xc2, 0x7e, 0x83, 0xf6, + 0xc0, 0xad, 0xe3, 0xca, 0x00, 0xd6, 0x11, 0x88, 0x9c, 0xc7, 0x9f, 0xb4, + 0x3d, 0x53, 0xa5, 0x5a, 0x97, 0x44, 0x4d, 0xe7, 0x5c, 0xd5, 0x76, 0x80, + 0xf8, 0x0c, 0xcd, 0xa6, 0x55, 0xe2, 0x5f, 0xcf, 0xf4, 0x46, 0xa4, 0xc7, + 0x0f, 0xc1, 0x80, 0x84, 0x65, 0x46, 0x8c, 0x87, 0xd2, 0x99, 0x82, 0xdf, + 0x8e, 0x00, 0x89, 0xf3, 0x0d, 0xd5, 0xc0, 0x54, 0x94, 0xc6, 0xa3, 0x92, + 0x0f, 0x91, 0x10, 0xee, 0xa3, 0x65, 0x44, 0xb7, 0x6d, 0xe8, 0x23, 0xf9, + 0x7f, 0x91, 0x62, 0x65, 0x09, 0x8e, 0xa1, 0x33, 0xd4, 0xd6, 0x55, 0x0a, + 0xc0, 0xe8, 0x66, 0x70, 0x05, 0xd0, 0x12, 0x34, 0xc1, 0xfd, 0xce, 0x75, + 0xa4, 0x75, 0xe1, 0x46, 0xa1, 0x08, 0xb4, 0x52, 0xfe, 0x25, 0xa4, 0xc5, + 0x4f, 0x23, 0x04, 0x7e, 0xa1, 0x2c, 0xf3, 0x56, 0xcb, 0xfa, 0x7a, 0xbc, + 0x45, 0xcc, 0x78, 0xb3, 0x28, 0xf3, 0xe5, 0xd5, 0x26, 0x56, 0x27, 0x86, + 0x6a, 0x56, 0x6b, 0x87, 0x56, 0x0e, 0xc4, 0x3c, 0xed, 0xff, 0xcb, 0x96, + 0xb4, 0x13, 0x1d, 0x4d, 0x38, 0x4e, 0x69, 0x34, 0x51, 0x7a, 0x85, 0x31, + 0xb4, 0x80, 0xda, 0x41, 0xe3, 0xdc, 0x2e, 0x53, 0xd8, 0x71, 0x3e, 0xcc, + 0x37, 0x8a, 0x80, 0x32}; + +static const unsigned char pub_key_minus_1_weak_3072[] = { + 0x94, 0x32, 0xc7, 0x47, 0x51, 0xa3, 0x03, 0x9b, 0xf2, 0x51, 0x5c, 0x69, + 0xaf, 0x05, 0x3c, 0x76, 0x62, 0xa2, 0xec, 0x5a, 0xcc, 0xdf, 0x80, 0xf3, + 0x2d, 0xce, 0xa5, 0xa5, 0x9e, 0x2d, 0xab, 0x5f, 0x91, 0xbd, 0x93, 0x61, + 0xd7, 0x7b, 0x71, 0x6f, 0xf3, 0x92, 0xbf, 0xa8, 0xfc, 0xcd, 0x00, 0xf5, + 0x49, 0x08, 0x00, 0x8c, 0xd2, 0xfe, 0x4a, 0xd8, 0x2b, 0x6e, 0x42, 0xc0, + 0xd8, 0xa2, 0x8b, 0x2b, 0x18, 0x02, 0xad, 0xe8, 0x4e, 0x44, 0x09, 0x26, + 0xa1, 0xa1, 0xca, 0x99, 0xe3, 0xd9, 0x9a, 0x87, 0x3c, 0x83, 0x6a, 0x1a, + 0x7b, 0x60, 0xba, 0x78, 0x0c, 0x79, 0x50, 0x1f, 0xde, 0x40, 0x14, 0x58, + 0x18, 0xa9, 0x2b, 0x74, 0x11, 0xb4, 0x65, 0xfe, 0x9d, 0x03, 0xa4, 0xef, + 0xdf, 0x74, 0x8e, 0xcd, 0x7b, 0xd4, 0xf3, 0x28, 0x75, 0xb2, 0x31, 0xef, + 0x99, 0x65, 0xcb, 0x5a, 0x77, 0xca, 0xa2, 0x25, 0x28, 0xae, 0xfa, 0x9f, + 0xeb, 0xda, 0xcc, 0x34, 0x7b, 0x21, 0xd7, 0xdb, 0x54, 0x40, 0xe6, 0x2f, + 0xdb, 0xc0, 0xce, 0xdc, 0xe5, 0xc9, 0x27, 0x97, 0x99, 0x9c, 0x02, 0x4f, + 0x24, 0x88, 0x93, 0xdf, 0xa9, 0xc7, 0x3e, 0x10, 0xc8, 0xaa, 0x6a, 0xce, + 0xda, 0x46, 0x94, 0x8c, 0xad, 0x1e, 0xf1, 0xcb, 0xd3, 0xcd, 0x43, 0x44, + 0xb4, 0x20, 0x91, 0x9e, 0xf6, 0xd1, 0x03, 0xef, 0xc2, 0x04, 0xf7, 0x07, + 0xdb, 0xac, 0xa2, 0x28, 0x8c, 0x7d, 0x1d, 0x5d, 0x2c, 0x5a, 0xfc, 0x26, + 0x5b, 0x0b, 0x58, 0xb9, 0x9a, 0x47, 0xe9, 0xa0, 0xdf, 0xa5, 0x5a, 0xf3, + 0xe5, 0xd6, 0xeb, 0x69, 0xb5, 0x4e, 0xbc, 0x71, 0xc0, 0xd6, 0x9b, 0xb8, + 0x40, 0x3b, 0xc5, 0x72, 0x5d, 0x4d, 0x1b, 0x17, 0x3d, 0x36, 0xa4, 0xb1, + 0x15, 0xa7, 0x9a, 0x72, 0xeb, 0xf2, 0x9e, 0x40, 0xd1, 0xbc, 0x35, 0xc7, + 0xd1, 0x1a, 0x8f, 0x1c, 0x2b, 0x5e, 0xd8, 0xb3, 0x3b, 0x44, 0xae, 0xf5, + 0x81, 0xd0, 0x8a, 0x37, 0xab, 0xba, 0x22, 0xbc, 0x2d, 0x88, 0x2f, 0x24, + 0xbb, 0xb0, 0x1a, 0xa9, 0x5f, 0x07, 0x10, 0x6d, 0xc6, 0xbb, 0x3c, 0xa2, + 0x66, 0xf9, 0xb9, 0x95, 0xd6, 0x5e, 0x8c, 0xce, 0x04, 0xdc, 0xb3, 0x4c, + 0xbc, 0xe9, 0xc5, 0xcb, 0x19, 0x97, 0xe2, 0xa1, 0x09, 0x38, 0xd7, 0x82, + 0xa6, 0xbf, 0xc9, 0x15, 0x25, 0xf1, 0x2c, 0x77, 0xfc, 0xbd, 0xfa, 0x7f, + 0x92, 0xfe, 0xd6, 0x31, 0x03, 0x23, 0x2d, 0x17, 0x2f, 0x51, 0x9e, 0x5c, + 0xb1, 0x68, 0xc0, 0x3f, 0x42, 0x99, 0x00, 0x55, 0x33, 0x68, 0xd7, 0xee, + 0x51, 0x7d, 0x3e, 0x03, 0x4f, 0x02, 0x5f, 0x27, 0xdd, 0x17, 0x18, 0x6c, + 0x1e, 0x9d, 0x91, 0x65, 0xf8, 0xd7, 0xa6, 0x9f, 0xa1, 0xba, 0xa8, 0x76, + 0xe4, 0xd8, 0xf4, 0x59, 0x90, 0x16, 0x67, 0x88, 0xc2, 0xa9, 0xe4, 0x2c}; + +static const unsigned char pub_key_minus_1_weak_4096[] = { + 0xff, 0x50, 0xd3, 0xcc, 0x89, 0x17, 0x5e, 0xb6, 0xf8, 0xa3, 0xb0, 0xe2, + 0xf9, 0x9f, 0x17, 0xa1, 0x92, 0x56, 0x15, 0x13, 0x12, 0x9f, 0x18, 0xdc, + 0x07, 0x00, 0xc2, 0x49, 0xc9, 0xd9, 0xd4, 0x0a, 0xe3, 0xd7, 0xf6, 0x60, + 0x21, 0xa9, 0x7b, 0xc0, 0x0f, 0x0e, 0xae, 0x3e, 0x77, 0x77, 0x48, 0xd8, + 0xfd, 0x42, 0xec, 0xb5, 0xae, 0x00, 0xab, 0xce, 0xd1, 0x11, 0xca, 0xd2, + 0x64, 0x5a, 0xa3, 0x6b, 0xba, 0xd1, 0x93, 0xea, 0xda, 0xd2, 0xa0, 0x60, + 0x39, 0x0b, 0x34, 0x4f, 0x0c, 0xf1, 0xb0, 0x52, 0x75, 0x51, 0x3d, 0x28, + 0x02, 0xb5, 0xbd, 0x42, 0x98, 0x20, 0xa7, 0x42, 0xb9, 0x21, 0x9a, 0xae, + 0xb6, 0x41, 0x7b, 0x70, 0xe3, 0xd9, 0xaf, 0x81, 0x1a, 0xc1, 0x39, 0x9c, + 0x52, 0x56, 0xcb, 0x0d, 0x6a, 0x67, 0x6f, 0x3d, 0x12, 0x76, 0x73, 0x53, + 0x95, 0x2d, 0xc1, 0x04, 0xdb, 0x83, 0xe4, 0xd0, 0xbe, 0x2d, 0xa6, 0x7a, + 0x0f, 0x80, 0x1b, 0xd0, 0x16, 0x14, 0x3a, 0xe0, 0x48, 0xfa, 0xf5, 0x44, + 0xa8, 0xe0, 0xbf, 0x98, 0xe1, 0x56, 0xea, 0x76, 0xb6, 0xe2, 0xa3, 0x5b, + 0x15, 0x79, 0x10, 0xb0, 0x41, 0xdc, 0x29, 0x0f, 0x1e, 0x37, 0x69, 0xcd, + 0x13, 0xbe, 0x2d, 0xe0, 0x73, 0x38, 0x68, 0xed, 0x50, 0x6a, 0xd0, 0xfb, + 0xcb, 0x17, 0x3a, 0x59, 0xfb, 0xec, 0xba, 0x75, 0xb6, 0x4e, 0x2f, 0x6e, + 0x97, 0x98, 0x0e, 0x79, 0x25, 0xdd, 0xd8, 0xf5, 0x34, 0xb4, 0xa0, 0x7e, + 0xba, 0x68, 0x7c, 0x4f, 0xfb, 0xe0, 0x97, 0x46, 0x50, 0x1e, 0x4a, 0x59, + 0x9c, 0xdc, 0x34, 0xe2, 0x2a, 0xb5, 0xc8, 0x58, 0x94, 0x48, 0x9f, 0xb8, + 0x36, 0xcb, 0xce, 0x36, 0xb1, 0x7c, 0xe5, 0x8d, 0x5b, 0x43, 0xd7, 0x88, + 0xdf, 0xae, 0xd0, 0xc9, 0x42, 0x5f, 0x0a, 0xe3, 0x63, 0x11, 0xc5, 0x0c, + 0x80, 0x55, 0x58, 0xd7, 0xf2, 0x51, 0x6e, 0xb3, 0x7e, 0x9d, 0x1c, 0xc3, + 0x61, 0x59, 0x5c, 0x47, 0xd4, 0x99, 0xc0, 0x67, 0xfb, 0xb2, 0xd6, 0x11, + 0xda, 0x92, 0x5b, 0x6b, 0xd2, 0x70, 0xb7, 0x69, 0x72, 0xe7, 0x06, 0xdd, + 0x40, 0xac, 0x81, 0x51, 0x1d, 0x52, 0x7a, 0x45, 0x38, 0x89, 0x27, 0x2c, + 0xc4, 0x4b, 0x7e, 0x5e, 0x79, 0xef, 0x84, 0x6a, 0x24, 0x4d, 0x9c, 0x9e, + 0xca, 0x75, 0x5c, 0x06, 0x6d, 0xd0, 0x52, 0xe9, 0xda, 0x9f, 0x46, 0xb6, + 0x62, 0x1d, 0xb3, 0xd9, 0xf2, 0x7d, 0xd6, 0xc2, 0x7a, 0x49, 0x7c, 0xdd, + 0x9b, 0xaa, 0xc3, 0x84, 0x0b, 0x08, 0x33, 0xb8, 0x80, 0xc3, 0x12, 0x8f, + 0xad, 0xac, 0x0f, 0x7f, 0xaf, 0x59, 0x61, 0x0d, 0x98, 0xc1, 0xf9, 0x68, + 0xc3, 0x1b, 0x10, 0x08, 0xc4, 0x33, 0x3c, 0xa4, 0xe2, 0xd5, 0xeb, 0x71, + 0x5d, 0x19, 0x7e, 0x05, 0xca, 0x9a, 0xf5, 0xbb, 0x71, 0x55, 0x83, 0x9c, + 0x25, 0x50, 0x35, 0x7f, 0x2d, 0xeb, 0xf2, 0x0d, 0xed, 0x3c, 0xb8, 0x71, + 0xbd, 0x08, 0xf5, 0x89, 0x7e, 0x5e, 0x38, 0x40, 0xd7, 0xed, 0x77, 0x8d, + 0x7a, 0xed, 0x2a, 0x9f, 0xfc, 0x01, 0xf4, 0xe2, 0xcf, 0xda, 0x8c, 0xa3, + 0x57, 0xdc, 0x14, 0xd6, 0xa1, 0xd9, 0x97, 0xb9, 0xe6, 0xfc, 0x48, 0x75, + 0x43, 0xbd, 0x3b, 0x91, 0x17, 0x3c, 0x33, 0xca, 0xce, 0x29, 0x09, 0x1b, + 0xe8, 0x9d, 0xb6, 0x74, 0x05, 0x5e, 0x2e, 0xa5, 0x1d, 0x7f, 0x3a, 0xa9, + 0x2c, 0xf6, 0x4d, 0x41, 0x90, 0xbc, 0x56, 0x18, 0x52, 0x02, 0x90, 0xef, + 0x71, 0xff, 0x3e, 0x0c, 0xf8, 0x00, 0x04, 0x07, 0xd5, 0x20, 0x26, 0xdd, + 0x5c, 0xb1, 0x37, 0x03, 0x20, 0x0c, 0xb4, 0xb6, 0x39, 0x49, 0x49, 0xaa, + 0xe7, 0x98, 0x01, 0xa2, 0x2e, 0x0a, 0x33, 0x82, 0x9e, 0xb9, 0x24, 0xb7, + 0x80, 0xdf, 0xd3, 0xdf, 0x04, 0xe4, 0x50, 0x9d}; + +static const unsigned char pub_key_minus_1_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE}; + +static const unsigned char pub_key_minus_1_safe_8192[] = { + 0x9b, 0xa7, 0x9b, 0xa2, 0x86, 0x54, 0xe7, 0x99, 0x11, 0x5b, 0x35, 0x81, + 0xd5, 0x7a, 0x8a, 0x6e, 0x4d, 0x4d, 0x61, 0x5d, 0xd3, 0xcf, 0x0c, 0x65, + 0x7e, 0xda, 0xd8, 0xce, 0x28, 0xac, 0xa0, 0x38, 0x81, 0xee, 0xa1, 0x14, + 0x25, 0x21, 0x67, 0x66, 0x3a, 0x6c, 0x0f, 0x80, 0x3d, 0x89, 0x79, 0xfe, + 0x71, 0x43, 0x57, 0xc3, 0xa9, 0x54, 0x1e, 0x20, 0x8a, 0xee, 0x0f, 0xa6, + 0x8b, 0x88, 0x81, 0x3d, 0xe8, 0x5c, 0x40, 0x47, 0x05, 0xdf, 0xd8, 0x6d, + 0x98, 0x65, 0x16, 0xa9, 0xf9, 0xc4, 0x8c, 0x02, 0xba, 0xae, 0x6b, 0x36, + 0x76, 0xc9, 0xfa, 0x8e, 0xd0, 0xd7, 0x9a, 0x3c, 0xcb, 0xd1, 0x44, 0x09, + 0xd7, 0x4f, 0x28, 0x51, 0x94, 0x92, 0x5b, 0x02, 0xb2, 0xbd, 0x78, 0xd3, + 0xc2, 0x76, 0x03, 0x15, 0x17, 0x0b, 0x55, 0x08, 0x02, 0x42, 0x9e, 0x26, + 0x56, 0x33, 0x72, 0xe6, 0xbd, 0x0e, 0xf9, 0x3d, 0x2c, 0xb3, 0x8a, 0x4c, + 0x67, 0x17, 0xfd, 0xe9, 0x03, 0xad, 0x8c, 0x34, 0x84, 0xe5, 0x83, 0xdf, + 0x9c, 0x04, 0x93, 0x03, 0x26, 0x19, 0xc1, 0xf1, 0x24, 0x68, 0xf6, 0x54, + 0x96, 0xce, 0x38, 0x51, 0xbd, 0x6c, 0x3d, 0x9c, 0x0c, 0xd8, 0x6e, 0x13, + 0x4c, 0x8b, 0xf6, 0x34, 0xae, 0xd8, 0x85, 0x1d, 0x1d, 0x8e, 0xc2, 0xad, + 0xab, 0xa2, 0xc5, 0x40, 0x76, 0x7f, 0x2f, 0x2e, 0x38, 0xf4, 0x6a, 0x39, + 0x33, 0x3d, 0x17, 0xce, 0x1f, 0xe9, 0xc3, 0x8d, 0x9e, 0xe5, 0xbe, 0xd6, + 0xad, 0x9a, 0x23, 0xd8, 0x06, 0xf3, 0x7c, 0x39, 0xd5, 0xae, 0x57, 0xb6, + 0xe5, 0xc3, 0x9a, 0x8a, 0x8c, 0x6e, 0xd3, 0xc1, 0x1a, 0x64, 0x12, 0x00, + 0x18, 0x53, 0xca, 0x32, 0x88, 0x8e, 0xc0, 0x5f, 0x2d, 0xb2, 0x3d, 0x14, + 0x1b, 0x58, 0x5c, 0x20, 0xe8, 0x52, 0xe5, 0x28, 0x41, 0xbc, 0x9e, 0x08, + 0x29, 0xab, 0xa5, 0x43, 0x99, 0x0e, 0xd7, 0x2a, 0xb9, 0xb8, 0x64, 0x9d, + 0x83, 0xe3, 0x1a, 0x26, 0x59, 0x65, 0xf2, 0x0c, 0xc9, 0xc5, 0x8f, 0x0d, + 0xcf, 0xa1, 0x18, 0xfc, 0x8b, 0x77, 0xe9, 0xe1, 0x19, 0x7b, 0x03, 0xd4, + 0x37, 0x8d, 0x5d, 0x37, 0x2b, 0xad, 0x58, 0x5e, 0x73, 0x72, 0xce, 0x84, + 0xe5, 0xc9, 0x75, 0x1d, 0xf3, 0x58, 0x42, 0x77, 0xfe, 0x53, 0xa0, 0xc2, + 0x66, 0x21, 0xaf, 0xe2, 0x61, 0xd2, 0x84, 0xb3, 0x03, 0x4d, 0xd8, 0x7d, + 0x85, 0xe1, 0xa8, 0xa0, 0x48, 0x5d, 0x1a, 0xa9, 0xac, 0xc1, 0x69, 0x24, + 0xc6, 0xfa, 0xb5, 0x22, 0x3e, 0xa3, 0x8d, 0x35, 0x29, 0xcf, 0x9a, 0xe5, + 0x84, 0x3b, 0x0b, 0x27, 0x36, 0x7e, 0x9d, 0xa6, 0xb0, 0x45, 0x60, 0x42, + 0x1e, 0x4b, 0x24, 0xd1, 0x36, 0x8b, 0x70, 0xd1, 0x95, 0x54, 0x14, 0xb9, + 0x47, 0x3d, 0x8d, 0xe4, 0x5f, 0x81, 0x1a, 0x21, 0x17, 0x17, 0xbf, 0x92, + 0x22, 0x4c, 0x77, 0x30, 0xdc, 0x9c, 0x84, 0xe6, 0x68, 0xcc, 0xd6, 0x11, + 0x04, 0xff, 0x71, 0x86, 0xb3, 0xa9, 0x9b, 0x13, 0x95, 0x35, 0xfd, 0x68, + 0x28, 0x9b, 0x6f, 0x5c, 0xf7, 0x66, 0xa8, 0x6f, 0x89, 0x0f, 0x92, 0xdf, + 0x52, 0x24, 0x3f, 0xdb, 0x2f, 0x40, 0x12, 0x32, 0xa4, 0xff, 0x2e, 0x4b, + 0xb8, 0xa0, 0xe7, 0xc9, 0xcb, 0x98, 0x13, 0xf9, 0xd2, 0xfa, 0x82, 0x68, + 0xb2, 0x8f, 0xd3, 0x17, 0x8c, 0x93, 0xf5, 0x80, 0xe4, 0x5a, 0x33, 0x1b, + 0x6a, 0xd8, 0xbf, 0x37, 0xa7, 0xe1, 0x63, 0x1d, 0x6a, 0xc3, 0xfa, 0xa1, + 0x2f, 0xc1, 0x72, 0x55, 0xd5, 0xe2, 0x67, 0x3b, 0x6b, 0x3a, 0xa8, 0xb0, + 0x54, 0x04, 0x1d, 0xbb, 0xc1, 0xe5, 0x3a, 0x52, 0xb1, 0x67, 0x0b, 0x12, + 0x3e, 0xcd, 0xa9, 0x9a, 0x0e, 0xbb, 0xa3, 0x75, 0x6d, 0x6f, 0x77, 0x74, + 0x64, 0xe3, 0x16, 0x8c, 0xa5, 0xba, 0xec, 0x51, 0x73, 0xce, 0x4b, 0xe6, + 0x6f, 0x3d, 0x15, 0x56, 0x43, 0xe1, 0x17, 0x77, 0x66, 0xab, 0xdc, 0x9d, + 0x9b, 0x10, 0x5d, 0xc4, 0xe9, 0x1e, 0xaa, 0x2d, 0x15, 0xbb, 0xc4, 0x09, + 0x46, 0x30, 0xe1, 0xb8, 0x92, 0x94, 0x5f, 0xb7, 0xe7, 0x7e, 0x97, 0x43, + 0xc0, 0x48, 0x5b, 0xaf, 0xea, 0x74, 0xae, 0x8c, 0x79, 0x6b, 0x66, 0x83, + 0x62, 0x88, 0x17, 0xa4, 0x56, 0x5d, 0x58, 0xfb, 0x6c, 0x38, 0x57, 0x4d, + 0xef, 0xd7, 0x36, 0x44, 0x39, 0x5b, 0xab, 0x94, 0xe4, 0x08, 0x30, 0xd3, + 0x2c, 0x59, 0xa0, 0x32, 0xe2, 0x71, 0x99, 0xec, 0x66, 0x5e, 0xf7, 0xe2, + 0x9c, 0x19, 0x69, 0x72, 0x6f, 0xdb, 0x3e, 0xcc, 0x19, 0x5a, 0xfd, 0xad, + 0xd6, 0x6e, 0x9d, 0x07, 0xc0, 0x65, 0x01, 0x75, 0xdd, 0x37, 0x1b, 0x9c, + 0x5e, 0x93, 0x32, 0xf8, 0x7e, 0x65, 0xd5, 0xb5, 0x15, 0x35, 0xad, 0x05, + 0xb5, 0xd2, 0x25, 0xc7, 0x71, 0x5a, 0xe4, 0xb7, 0x58, 0x6a, 0xc3, 0x5a, + 0xd9, 0xd4, 0xee, 0x32, 0xb5, 0x0b, 0x5b, 0x2a, 0xcd, 0x80, 0xce, 0xd4, + 0x2d, 0xc9, 0x09, 0x94, 0xf5, 0xf2, 0x7c, 0xaf, 0xba, 0x5a, 0xd3, 0xdc, + 0xcd, 0xd7, 0xf7, 0xea, 0x42, 0xe2, 0xc2, 0x34, 0x21, 0xb9, 0x15, 0x24, + 0xe8, 0x32, 0x6b, 0x6f, 0xb0, 0xed, 0x76, 0x5e, 0x45, 0xbf, 0x02, 0xa2, + 0xb8, 0x3c, 0xa5, 0xf5, 0x74, 0xe3, 0x18, 0x89, 0x21, 0x4e, 0xa6, 0x08, + 0xa3, 0xa5, 0x93, 0x69, 0x48, 0x96, 0xbd, 0x47, 0xd3, 0xeb, 0x67, 0x29, + 0xa8, 0xbb, 0xbe, 0x78, 0x05, 0xfa, 0x46, 0x89, 0x4e, 0x0c, 0xe2, 0x6c, + 0xbb, 0xe5, 0xf8, 0xba, 0xe5, 0x5d, 0x29, 0xe7, 0xdd, 0x71, 0x7e, 0x94, + 0xd7, 0x56, 0x0c, 0x3c, 0xde, 0x5f, 0xbc, 0xdc, 0x0f, 0x8e, 0xd6, 0x6f, + 0x0a, 0x07, 0xb8, 0x07, 0x24, 0x62, 0x4c, 0xed, 0x45, 0x4f, 0x0d, 0x9f, + 0x2e, 0x83, 0x6a, 0xeb, 0xbc, 0xff, 0xa9, 0xf2, 0x73, 0xb3, 0x5b, 0xaa, + 0xac, 0xed, 0xac, 0x88, 0xa2, 0x0d, 0x8d, 0x8f, 0xb4, 0xf7, 0x73, 0x1e, + 0xc0, 0x2e, 0xd3, 0x45, 0x15, 0x4b, 0x4a, 0xe7, 0xd4, 0xef, 0xb1, 0xc6, + 0xd3, 0x8f, 0xf8, 0x24, 0x12, 0x33, 0x3e, 0x8e, 0x95, 0xbc, 0x81, 0xb4, + 0xd4, 0xd1, 0x13, 0xbc, 0x7e, 0x25, 0xb4, 0x5b, 0xff, 0x15, 0xba, 0xf8, + 0x9a, 0xec, 0x78, 0xe4, 0x63, 0xc7, 0x26, 0xd5, 0x89, 0x3d, 0x63, 0x5b, + 0x7c, 0x86, 0x63, 0x34, 0x06, 0x28, 0x23, 0x08, 0xff, 0x6d, 0xbd, 0xe0, + 0x75, 0xb3, 0x71, 0x12, 0x26, 0x63, 0xca, 0x93, 0x36, 0x86, 0xeb, 0xf7, + 0x48, 0xd1, 0x96, 0xf4, 0x02, 0x3e, 0x5d, 0x69, 0x75, 0x5e, 0x95, 0xee, + 0x32, 0xb9, 0xba, 0x55, 0xc5, 0x42, 0x74, 0x00, 0xe1, 0x0f, 0x16, 0x05, + 0x62, 0x3c, 0x58, 0xcb, 0xe0, 0xd4, 0xa9, 0xe5, 0x1a, 0x3b, 0x84, 0x7e, + 0x19, 0x87, 0xad, 0x67, 0xcd, 0x9b, 0x97, 0xb0, 0x32, 0xd7, 0xb8, 0x1e, + 0x96, 0x69, 0x75, 0x0f, 0x61, 0x69, 0xb3, 0xc9, 0xce, 0x73, 0x7c, 0x5f, + 0xd5, 0x08, 0xdf, 0xd4, 0x07, 0x75, 0x60, 0xd7, 0x50, 0x52, 0xe7, 0x5c, + 0x6f, 0x04, 0x59, 0x65, 0xbd, 0x70, 0x99, 0x15, 0xf9, 0xbc, 0x34, 0x78, + 0x6a, 0x64, 0xac, 0x5f, 0x07, 0xc2, 0x89, 0x88, 0xfe, 0x11, 0x7a, 0xf7, + 0x3d, 0xbe, 0x83, 0xff, 0xeb, 0x1d, 0x52, 0xbe, 0xd4, 0x09, 0x71, 0x0f, + 0x7c, 0x95, 0x19, 0xf2, 0x4b, 0xf5, 0x44, 0x63, 0xf2, 0xec, 0x3f, 0xf9, + 0xe4, 0xfb, 0xbe, 0x24, 0xb2, 0x18, 0x53, 0xce, 0x16, 0x40, 0x1e, 0x27, + 0x62, 0x99, 0x93, 0xc9, 0x49, 0x8f, 0x98, 0x0d, 0xd8, 0x73, 0x65, 0x99, + 0xac, 0xff, 0xfe, 0x22, 0x6a, 0xd1, 0xfb, 0xa1, 0xe4, 0xe7, 0xab, 0x3c, + 0x72, 0x10, 0xac, 0x72}; + +/* Public keys in small subgroups of weak primes - fails in all modes*/ +static const unsigned char pub_key_bad_weak_1024[] = {3}; +static const unsigned char pub_key_bad_weak_2048[] = {3}; +static const unsigned char pub_key_bad_weak_3072[] = {3}; +static const unsigned char pub_key_bad_weak_4096[] = {3}; +static const unsigned char pub_key_bad_weak_6144[] = {3}; +static const unsigned char pub_key_bad_weak_8192[] = {3}; + +enum DhParamType { + TLS_APPROVED, + IKE_APPROVED, + SAFE_PRIME, + SAFE_PRIME_WITH_SUBPRIME, + KNOWN_SUBPRIME, + WRONG_SUBPRIME, + UNKNOWN_SUBPRIME, + BAD_PUB_KEY +}; + +enum DhKeyClass { + CLASS_1536 = 0, + CLASS_2048, + CLASS_3072, + CLASS_4096, + CLASS_6144, + CLASS_8192, + CLASS_LAST +}; +const DhKeyClass CLASS_FIRST = CLASS_1536; + +const unsigned char *reference_prime[CLASS_LAST] = { + prime_ike_1536, prime_tls_2048, prime_tls_3072, + prime_ike_4096, prime_ike_6144, prime_tls_8192}; + +const size_t reference_prime_len[CLASS_LAST] = { + sizeof(prime_ike_1536), sizeof(prime_tls_2048), sizeof(prime_tls_3072), + sizeof(prime_ike_4096), sizeof(prime_ike_6144), sizeof(prime_tls_8192)}; + +struct DhTestVector { + const char *id; + SECItem p; + SECItem g; + SECItem q; + SECItem pub_key; + DhParamType param_type; + DhKeyClass key_class; +}; + +static const unsigned char g2[] = {2}; +static const unsigned char g3[] = {3}; + +static const DhTestVector DH_TEST_VECTORS[] = { + /* test our approved primes, the pass in all modes and configurations */ + {"IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_1536}, + {"IKE 2048", + {siBuffer, (unsigned char *)prime_ike_2048, sizeof(prime_ike_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_2048}, + {"TLS 3048", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_2048}, + {"IKE 3072", + {siBuffer, (unsigned char *)prime_ike_3072, sizeof(prime_ike_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_3072}, + {"TLS 3072", + {siBuffer, (unsigned char *)prime_tls_3072, sizeof(prime_tls_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_3072}, + {"IKE 4096", + {siBuffer, (unsigned char *)prime_ike_4096, sizeof(prime_ike_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_4096}, + {"TLS 4096", + {siBuffer, (unsigned char *)prime_tls_4096, sizeof(prime_tls_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_4096}, + {"IKE 6144", + {siBuffer, (unsigned char *)prime_ike_6144, sizeof(prime_ike_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_6144}, + {"TLS 6144", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_6144}, + {"IKE 8192", + {siBuffer, (unsigned char *)prime_ike_8192, sizeof(prime_ike_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_8192}, + {"TLS 8192", + {siBuffer, (unsigned char *)prime_tls_8192, sizeof(prime_tls_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_8192}, + /* approved primes with explicit subprimes.These should pass without + * the need to verify the primes and subprimes for primality */ + {"IKE 1536 with subprime", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_1536, + sizeof(sub2_prime_ike_1536)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_1536}, + {"IKE 2048 with subprime", + {siBuffer, (unsigned char *)prime_ike_2048, sizeof(prime_ike_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_2048, + sizeof(sub2_prime_ike_2048)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_2048}, + {"TLS 2048 with subprime", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_2048, + sizeof(sub2_prime_tls_2048)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_2048}, + {"IKE 3072 with subprime", + {siBuffer, (unsigned char *)prime_ike_3072, sizeof(prime_ike_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_3072, + sizeof(sub2_prime_ike_3072)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_3072}, + {"TLS 3072 with subprime", + {siBuffer, (unsigned char *)prime_tls_3072, sizeof(prime_tls_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_3072, + sizeof(sub2_prime_tls_3072)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_3072}, + {"IKE 4096 with subprime", + {siBuffer, (unsigned char *)prime_ike_4096, sizeof(prime_ike_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_4096, + sizeof(sub2_prime_ike_4096)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_4096}, + {"TLS 4096 with subprime", + {siBuffer, (unsigned char *)prime_tls_4096, sizeof(prime_tls_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_4096, + sizeof(sub2_prime_tls_4096)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_4096}, + {"IKE 6144 with subprime", + {siBuffer, (unsigned char *)prime_ike_6144, sizeof(prime_ike_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_6144, + sizeof(sub2_prime_ike_6144)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_6144}, + {"TLS 6144 with subprime", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_6144, + sizeof(sub2_prime_tls_6144)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_6144}, + {"IKE 8192 with subprime", + {siBuffer, (unsigned char *)prime_ike_8192, sizeof(prime_ike_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_8192, + sizeof(sub2_prime_ike_8192)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_8192}, + {"TLS 8192 with subprime", + {siBuffer, (unsigned char *)prime_tls_8192, sizeof(prime_tls_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_8192, + sizeof(sub2_prime_tls_8192)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_8192}, + /* test our non-approved safe primes. This primes should pass in + * non-FIPS and fail in FIPS. They should pass without checks */ + {"Safe Prime 1536", + {siBuffer, (unsigned char *)prime_safe_1536, sizeof(prime_safe_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_1536}, + {"Safe Prime 2048", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_2048}, + {"Safe Prime 3072", + {siBuffer, (unsigned char *)prime_safe_3072, sizeof(prime_safe_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_3072}, + {"Safe Prime 4096", + {siBuffer, (unsigned char *)prime_safe_4096, sizeof(prime_safe_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_4096}, + {"Safe Prime 6144", + {siBuffer, (unsigned char *)prime_safe_6144, sizeof(prime_safe_6144)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_6144}, + {"Safe Prime 8192", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_8192}, + /* test our non-approved safe primes. This primes should pass in + * non-FIPS and fail in FIPS. In non-FIPS, they need checks */ + {"Safe Prime 1536 with Subprime", + {siBuffer, (unsigned char *)prime_safe_1536, sizeof(prime_safe_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_1536, + sizeof(sub2_prime_safe_1536)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_1536}, + {"Safe Prime 2048 with Subprime", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_2048, + sizeof(sub2_prime_safe_2048)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_2048}, + {"Safe Prime 3072 with Subprime", + {siBuffer, (unsigned char *)prime_safe_3072, sizeof(prime_safe_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_3072, + sizeof(sub2_prime_safe_3072)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_3072}, + {"Safe Prime 4096 with Subprime", + {siBuffer, (unsigned char *)prime_safe_4096, sizeof(prime_safe_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_4096, + sizeof(sub2_prime_safe_4096)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_4096}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Safe Prime 6144 with Subprime", + {siBuffer, (unsigned char *)prime_safe_6144, sizeof(prime_safe_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_6144, + sizeof(sub2_prime_safe_6144)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_6144}, + {"Safe Prime 8192 with Subprime", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_8192, + sizeof(sub2_prime_safe_8192)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_8192}, +#endif + /* test "weak" primes with "unknown" subprimes. We use + * the same primes as the known subprimes, but we don't + * include the subprime in the test. These primes should + * pass in non-FIPS mode and fail in FIPS mode */ + {"Weak Prime 1024 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_3072}, + {"Weak Prime 4096 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_4096}, + {"Weak Prime 6144 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_8192}, + /* test "weak" primes with known subprimes. These primes should + * pass in non-FIPS and fail in FIPS. In non-FIPS they should have full + * checks. */ + {"Weak Prime 1024 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)subprime_weak_1024, + sizeof(subprime_weak_1024)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)subprime_weak_2048, + sizeof(subprime_weak_2048)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_3072}, + {"Weak Prime 4096 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)subprime_weak_4096, + sizeof(subprime_weak_4096)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_4096}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Weak Prime 6144 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)subprime_weak_6144, + sizeof(subprime_weak_6144)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)subprime_weak_8192, + sizeof(subprime_weak_8192)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_8192}, +#endif + /* test "weak" primes as if they were safe primes. These primes should + * faill in all modes. */ + {"Weak Prime 1024 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)sub2_prime_weak_1024, + sizeof(sub2_prime_weak_1024)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)sub2_prime_weak_2048, + sizeof(sub2_prime_weak_2048)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)sub2_prime_weak_3072, + sizeof(sub2_prime_weak_3072)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_3072}, + {"Weak Prime 4096 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)sub2_prime_weak_4096, + sizeof(sub2_prime_weak_4096)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_4096}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Weak Prime 6144 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)sub2_prime_weak_6144, + sizeof(sub2_prime_weak_6144)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)sub2_prime_weak_8192, + sizeof(sub2_prime_weak_8192)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_8192}, +#endif + /******** Now test various invalid public keys */ + /* first known small subgroups of safe primes. These test should + * fail in all modes with all primes */ + {"Pubkey = 0 IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_zero, sizeof(pub_key_zero)}, + BAD_PUB_KEY, + CLASS_1536}, + {"PubKey = 1 TLS 2048", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_one, sizeof(pub_key_one)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey == -1 IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_ike_1536, + sizeof(pub_key_minus_1_ike_1536)}, + BAD_PUB_KEY, + CLASS_1536}, + {"Pubkey = -1 SAFE 2048 WITH SUBPRIME", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_2048, + sizeof(sub2_prime_safe_2048)}, + {siBuffer, (unsigned char *)pub_key_minus_1_safe_2048, + sizeof(pub_key_minus_1_safe_2048)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey = -1 WEAK 3072 KNOWN SUBPRIME", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, (unsigned char *)pub_key_minus_1_weak_3072, + sizeof(pub_key_minus_1_weak_3072)}, + BAD_PUB_KEY, + CLASS_3072}, + {"Pubkey = -1 WEAK 4096 UNKNOWN SUBPRIME", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_weak_4096, + sizeof(pub_key_minus_1_weak_4096)}, + BAD_PUB_KEY, + CLASS_4096}, + {"Pubkey = -1 TLS 6144 WITH SUBPRIME", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_6144, + sizeof(sub2_prime_tls_6144)}, + {siBuffer, (unsigned char *)pub_key_minus_1_tls_6144, + sizeof(pub_key_minus_1_tls_6144)}, + BAD_PUB_KEY, + CLASS_6144}, + {"Pubkey = -1 SAFE 8192", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_safe_8192, + sizeof(pub_key_minus_1_safe_8192)}, + BAD_PUB_KEY, + CLASS_8192}, + /* y is a known small subgroups of weak primes (which known subprimes). + * These test should fail in all modes with all primes */ + {"Pubkey small subgroup Weak 1024 prime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)subprime_weak_1024, + sizeof(subprime_weak_1024)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_1024, + sizeof(pub_key_bad_weak_1024)}, + BAD_PUB_KEY, + CLASS_1536}, + {"Pubkey small subgroup Weak 2048 prime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)subprime_weak_2048, + sizeof(subprime_weak_2048)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_2048, + sizeof(pub_key_bad_weak_2048)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey small subgroup Weak 3072 prime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_3072, + sizeof(pub_key_bad_weak_3072)}, + BAD_PUB_KEY, + CLASS_3072}, + {"Pubkey small subgroup Weak 4096 prime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)subprime_weak_4096, + sizeof(subprime_weak_4096)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_4096, + sizeof(pub_key_bad_weak_4096)}, + BAD_PUB_KEY, + CLASS_4096}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Pubkey small subgroup Weak 6144 prime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)subprime_weak_6144, + sizeof(subprime_weak_6144)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_6144, + sizeof(pub_key_bad_weak_6144)}, + BAD_PUB_KEY, + CLASS_6144}, + {"Pubkey small subgroup Weak 8192 prime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)subprime_weak_8192, + sizeof(subprime_weak_8192)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_8192, + sizeof(pub_key_bad_weak_8192)}, + BAD_PUB_KEY, + CLASS_8192} +#endif +}; +}; diff --git a/nss/lib/freebl/blapi.h b/nss/lib/freebl/blapi.h index 81efbcc..d3fbc1b 100644 --- a/nss/lib/freebl/blapi.h +++ b/nss/lib/freebl/blapi.h @@ -380,6 +380,9 @@ extern SECStatus KEA_Derive(SECItem *prime, */ extern PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime); +/* verify a value is prime */ +PRBool KEA_PrimeCheck(SECItem *prime); + /**************************************** * J-PAKE key transport */ diff --git a/nss/lib/freebl/dh.c b/nss/lib/freebl/dh.c index 5ff9551..872b663 100644 --- a/nss/lib/freebl/dh.c +++ b/nss/lib/freebl/dh.c @@ -17,6 +17,7 @@ #include "blapii.h" #include "secitem.h" #include "mpi.h" +#include "mpprime.h" #include "secmpi.h" #define KEA_DERIVED_SECRET_LEN 128 @@ -78,7 +79,7 @@ DH_GenParam(int primeLen, DHParams **params) CHECK_MPI_OK(mp_init(&h)); CHECK_MPI_OK(mp_init(&psub1)); CHECK_MPI_OK(mp_init(&test)); - /* generate prime with MPI, uses Miller-Rabin to generate strong prime. */ + /* generate prime with MPI, uses Miller-Rabin to generate safe prime. */ CHECK_SEC_OK(generate_prime(&p, primeLen)); /* construct Sophie-Germain prime q = (p-1)/2. */ CHECK_MPI_OK(mp_sub_d(&p, 1, &psub1)); @@ -261,18 +262,17 @@ DH_Derive(SECItem *publicValue, } /* - * We check to make sure that ZZ is not equal to 1 or -1 mod p. + * We check to make sure that ZZ is not equal to 0, 1 or -1 mod p. * This helps guard against small subgroup attacks, since an attacker - * using a subgroup of size N will produce 1 or -1 with probability 1/N. + * using a subgroup of size N will produce 0, 1 or -1 with probability 1/N. * When the protocol is executed within a properly large subgroup, the * probability of this result will be negligibly small. For example, - * with a strong prime of the form 2p+1, the probability will be 1/p. + * with a safe prime of the form 2q+1, the probability will be 1/q. * * We return MP_BADARG because this is probably the result of a bad * public value or a bad prime having been provided. */ - if (mp_cmp_d(&ZZ, 1) == 0 || - mp_cmp(&ZZ, &psub1) == 0) { + if (mp_cmp_d(&ZZ, 2) < 0 || mp_cmp(&ZZ, &psub1) >= 0) { err = MP_BADARG; goto cleanup; } @@ -417,10 +417,39 @@ cleanup: return SECSuccess; } +/* Test counts based on the fact the prime and subprime + * were given to us */ +static int +dh_prime_testcount(int prime_length) +{ + if (prime_length < 1024) { + return 50; + } else if (prime_length < 2048) { + return 40; + } else if (prime_length < 3072) { + return 56; + } + return 64; +} + +PRBool +KEA_PrimeCheck(SECItem *prime) +{ + mp_int p; + mp_err err = 0; + MP_DIGITS(&p) = 0; + CHECK_MPI_OK(mp_init(&p)); + SECITEM_TO_MPINT(*prime, &p); + CHECK_MPI_OK(mpp_pprime(&p, dh_prime_testcount(prime->len))); +cleanup: + mp_clear(&p); + return err ? PR_FALSE : PR_TRUE; +} + PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime) { - mp_int p, q, y, r; + mp_int p, q, y, r, psub1; mp_err err; int cmp = 1; /* default is false */ if (!Y || !prime || !subPrime) { @@ -431,13 +460,24 @@ KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime) MP_DIGITS(&q) = 0; MP_DIGITS(&y) = 0; MP_DIGITS(&r) = 0; + MP_DIGITS(&psub1) = 0; CHECK_MPI_OK(mp_init(&p)); CHECK_MPI_OK(mp_init(&q)); CHECK_MPI_OK(mp_init(&y)); CHECK_MPI_OK(mp_init(&r)); + CHECK_MPI_OK(mp_init(&psub1)); SECITEM_TO_MPINT(*prime, &p); SECITEM_TO_MPINT(*subPrime, &q); SECITEM_TO_MPINT(*Y, &y); + + CHECK_MPI_OK(mp_sub_d(&p, 1, &psub1)); + + if (mp_cmp_d(&y, 1) <= 0 || + mp_cmp(&y, &psub1) >= 0) { + err = MP_BADARG; + goto cleanup; + } + /* compute r = y**q mod p */ CHECK_MPI_OK(mp_exptmod(&y, &q, &p, &r)); /* compare to 1 */ @@ -447,6 +487,7 @@ cleanup: mp_clear(&q); mp_clear(&y); mp_clear(&r); + mp_clear(&psub1); if (err) { MP_TO_SEC_ERROR(err); return PR_FALSE; diff --git a/nss/lib/freebl/ec.c b/nss/lib/freebl/ec.c index b15046b..f0c075b 100644 --- a/nss/lib/freebl/ec.c +++ b/nss/lib/freebl/ec.c @@ -601,6 +601,7 @@ ECDH_Derive(SECItem *publicValue, CHECK_MPI_OK(mp_init(&cofactor)); mp_set(&cofactor, ecParams->cofactor); CHECK_MPI_OK(mp_mul(&k, &cofactor, &k)); + mp_clear(&cofactor); } /* Multiply our private key and peer's public point */ diff --git a/nss/lib/freebl/ldvector.c b/nss/lib/freebl/ldvector.c index 6ae9ef6..650bfb8 100644 --- a/nss/lib/freebl/ldvector.c +++ b/nss/lib/freebl/ldvector.c @@ -327,9 +327,13 @@ static const struct FREEBLVectorStr vector = CMAC_Begin, CMAC_Update, CMAC_Finish, - CMAC_Destroy + CMAC_Destroy, /* End of version 3.022 */ + + KEA_PrimeCheck + + /* End of version 3.024 */ }; const FREEBLVector* diff --git a/nss/lib/freebl/loader.c b/nss/lib/freebl/loader.c index 1936b55..65a2188 100644 --- a/nss/lib/freebl/loader.c +++ b/nss/lib/freebl/loader.c @@ -236,6 +236,14 @@ KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime) return (vector->p_KEA_Verify)(Y, prime, subPrime); } +PRBool +KEA_PrimeCheck(SECItem *prime) +{ + if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) + return PR_FALSE; + return (vector->p_KEA_PrimeCheck)(prime); +} + RC4Context * RC4_CreateContext(const unsigned char *key, int len) { diff --git a/nss/lib/freebl/loader.h b/nss/lib/freebl/loader.h index 4dd6419..e70c7e6 100644 --- a/nss/lib/freebl/loader.h +++ b/nss/lib/freebl/loader.h @@ -779,6 +779,9 @@ struct FREEBLVectorStr { /* Version 3.022 came to here */ + PRBool (*p_KEA_PrimeCheck)(SECItem *prime); + /* Version 3.024 came to here */ + /* Add new function pointers at the end of this struct and bump * FREEBL_VERSION at the beginning of this file. */ }; diff --git a/nss/lib/softoken/manifest.mn b/nss/lib/softoken/manifest.mn index 1dfa55c..d83c8f4 100644 --- a/nss/lib/softoken/manifest.mn +++ b/nss/lib/softoken/manifest.mn @@ -46,6 +46,7 @@ CSRCS = \ pkcs11u.c \ sdb.c \ sftkdb.c \ + sftkdhverify.c \ sftkhmac.c \ sftkike.c \ sftkpars.c \ diff --git a/nss/lib/softoken/pkcs11.c b/nss/lib/softoken/pkcs11.c index 79f1a50..8bd9876 100644 --- a/nss/lib/softoken/pkcs11.c +++ b/nss/lib/softoken/pkcs11.c @@ -1132,6 +1132,11 @@ sftk_handlePrivateKeyObject(SFTKSession *session, SFTKObject *object, CK_KEY_TYP if (!sftk_hasAttribute(object, CKA_VALUE)) { return CKR_TEMPLATE_INCOMPLETE; } + /* allow subprime to be set after the fact */ + crv = sftk_defaultAttribute(object, CKA_SUBPRIME, NULL, 0); + if (crv != CKR_OK) { + return crv; + } encrypt = CK_FALSE; recover = CK_FALSE; wrap = CK_FALSE; diff --git a/nss/lib/softoken/pkcs11c.c b/nss/lib/softoken/pkcs11c.c index 3fc2346..fb52cdf 100644 --- a/nss/lib/softoken/pkcs11c.c +++ b/nss/lib/softoken/pkcs11c.c @@ -272,6 +272,17 @@ GetHashTypeFromMechanism(CK_MECHANISM_TYPE mech) } } +static PRBool +is_approved_curve(ECCurveName cn) +{ + if (cn == ECCurve_NIST_P256 + || cn == ECCurve_NIST_P384 + || cn == ECCurve_NIST_P521) + return PR_TRUE; + + return PR_FALSE; +} + /* * Returns true if "params" contains a valid set of PSS parameters */ @@ -4886,7 +4897,7 @@ pairwise_signverify_mech (CK_SESSION_HANDLE hSession, * performed, for example, CKR_HOST_MEMORY. */ static CK_RV -sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, +sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, SFTKSlot *slot, SFTKObject *publicKey, SFTKObject *privateKey, CK_KEY_TYPE keyType) { /* @@ -4901,6 +4912,12 @@ sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, * others => CKM_INVALID_MECHANISM * * None of these mechanisms has a parameter. + * + * For derive CKK_DH => CKM_DH_PKCS_DERIVE + * CKK_EC => CKM_ECDH1_DERIVE + * others => CKM_INVALID_MECHANISM + * + * The parameters for these mechanisms is the public key. */ CK_MECHANISM mech = { 0, NULL, 0 }; @@ -5114,24 +5131,115 @@ sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, isDerivable = sftk_isTrue(privateKey, CKA_DERIVE); if (isDerivable) { - /* - * We are not doing consistency check for Diffie-Hellman Key - - * otherwise it would be here - * This is also true for Elliptic Curve Diffie-Hellman keys - * NOTE: EC keys are currently subjected to pairwise - * consistency check for signing/verification. - */ - /* - * FIPS 140-2 had the following pairwise consistency test for - * public and private keys used for key agreement: - * If the keys are used to perform key agreement, then the - * cryptographic module shall create a second, compatible - * key pair. The cryptographic module shall perform both - * sides of the key agreement algorithm and shall compare - * the resulting shared values. If the shared values are - * not equal, the test shall fail. - * This test was removed in Change Notice 3. - */ + SFTKAttribute *pubAttribute = NULL; + CK_OBJECT_HANDLE newKey; + PRBool isFIPS = (slot->slotID == FIPS_SLOT_ID); + CK_RV crv2; + CK_OBJECT_CLASS secret = CKO_SECRET_KEY; + CK_KEY_TYPE generic = CKK_GENERIC_SECRET; + CK_ULONG keyLen = 128; + CK_BBOOL ckTrue = CK_TRUE; + CK_ATTRIBUTE template[] = { + { CKA_CLASS, &secret, sizeof(secret) }, + { CKA_KEY_TYPE, &generic, sizeof(generic) }, + { CKA_VALUE_LEN, &keyLen, sizeof(keyLen) }, + { CKA_DERIVE, &ckTrue, sizeof(ckTrue) } + }; + CK_ULONG templateCount = PR_ARRAY_SIZE(template); + CK_ECDH1_DERIVE_PARAMS ecParams; + + crv = CKR_OK; /*paranoia, already get's set before we drop to the end */ + /* FIPS 140-2 requires we verify that the resulting key is a valid key. + * The easiest way to do this is to do a derive operation, which checks + * the validity of the key */ + + switch (keyType) { + case CKK_DH: + mech.mechanism = CKM_DH_PKCS_DERIVE; + pubAttribute = sftk_FindAttribute(publicKey, CKA_VALUE); + if (pubAttribute == NULL) { + return CKR_DEVICE_ERROR; + } + mech.pParameter = pubAttribute->attrib.pValue; + mech.ulParameterLen = pubAttribute->attrib.ulValueLen; + break; + case CKK_EC: + mech.mechanism = CKM_ECDH1_DERIVE; + pubAttribute = sftk_FindAttribute(publicKey, CKA_EC_POINT); + if (pubAttribute == NULL) { + return CKR_DEVICE_ERROR; + } + ecParams.kdf = CKD_NULL; + ecParams.ulSharedDataLen = 0; + ecParams.pSharedData = NULL; + ecParams.ulPublicDataLen = pubAttribute->attrib.ulValueLen; + ecParams.pPublicData = pubAttribute->attrib.pValue; + mech.pParameter = &ecParams; + mech.ulParameterLen = sizeof(ecParams); + break; + default: + return CKR_DEVICE_ERROR; + } + + crv = NSC_DeriveKey(hSession, &mech, privateKey->handle, template, templateCount, &newKey); + if (crv != CKR_OK) { + sftk_FreeAttribute(pubAttribute); + return crv; + } + /* FIPS requires full validation, but in fipx mode NSC_Derive + * only does partial validation with approved primes, now handle + * full validation */ + if (isFIPS && keyType == CKK_DH) { + SECItem pubKey; + SECItem prime; + SECItem subPrime; + const SECItem *subPrimePtr = &subPrime; + + pubKey.data = pubAttribute->attrib.pValue; + pubKey.len = pubAttribute->attrib.ulValueLen; + prime.data = subPrime.data = NULL; + prime.len = subPrime.len = 0; + crv = sftk_Attribute2SecItem(NULL, &prime, privateKey, CKA_PRIME); + if (crv != CKR_OK) { + goto done; + } + crv = sftk_Attribute2SecItem(NULL, &prime, privateKey, CKA_PRIME); + /* we ignore the return code an only look at the length */ + if (subPrime.len == 0) { + /* subprime not supplied, In this case look it up. + * This only works with approved primes, but in FIPS mode + * that's the only kine of prime that will get here */ + subPrimePtr = sftk_VerifyDH_Prime(&prime); + if (subPrimePtr == NULL) { + crv = CKR_GENERAL_ERROR; + goto done; + } + } + if (!KEA_Verify(&pubKey, &prime, (SECItem *)subPrimePtr)) { + crv = CKR_GENERAL_ERROR; + } + done: + PORT_Free(subPrime.data); + PORT_Free(prime.data); + } + + /* Enforce approved ECDH curves in FIPS mode */ + if (isFIPS && keyType == CKK_EC) { + NSSLOWKEYPrivateKey *privKey = sftk_GetPrivKey(privateKey, CKK_EC, &crv); + if (!privKey || !is_approved_curve (privKey->u.ec.ecParams.name)) { + crv = CKR_GENERAL_ERROR; + } + } + + /* clean up before we return */ + sftk_FreeAttribute(pubAttribute); + crv2 = NSC_DestroyObject(hSession, newKey); + if (crv != CKR_OK) { + return crv; + } + if (crv2 != CKR_OK) { + return crv2; + } } return CKR_OK; @@ -5675,7 +5783,7 @@ NSC_GenerateKeyPair(CK_SESSION_HANDLE hSession, if (crv == CKR_OK) { /* Perform FIPS 140-2 pairwise consistency check. */ - crv = sftk_PairwiseConsistencyCheck(hSession, + crv = sftk_PairwiseConsistencyCheck(hSession, slot, publicKey, privateKey, key_type); if (crv != CKR_OK) { if (sftk_audit_enabled) { @@ -8052,40 +8160,105 @@ NSC_DeriveKey(CK_SESSION_HANDLE hSession, case CKM_DH_PKCS_DERIVE: { SECItem derived, dhPublic; - SECItem dhPrime, dhSubPrime, dhValue; + SECItem dhPrime, dhValue; + const SECItem *subPrime; /* sourceKey - values for the local existing low key */ /* get prime and value attributes */ crv = sftk_Attribute2SecItem(NULL, &dhPrime, sourceKey, CKA_PRIME); if (crv != CKR_OK) break; - crv = sftk_Attribute2SecItem(NULL, &dhValue, sourceKey, CKA_VALUE); - if (crv != CKR_OK) { - PORT_Free(dhPrime.data); - break; - } - + dhPublic.data = pMechanism->pParameter; dhPublic.len = pMechanism->ulParameterLen; - /* If the caller bothered to provide Q, use Q to validate - * the public key. */ - crv = sftk_Attribute2SecItem(NULL, &dhSubPrime, sourceKey, CKA_SUBPRIME); - if (crv == CKR_OK) { - rv = KEA_Verify(&dhPublic, &dhPrime, &dhSubPrime); - PORT_Free(dhSubPrime.data); - if (rv == PR_FALSE) { + /* if the prime is an approved prime, we can skip all the other + * checks. */ + subPrime = sftk_VerifyDH_Prime(&dhPrime); + if (subPrime == NULL) { + SECItem dhSubPrime; + /* If the caller set the subprime value, it means that + * either the caller knows the subprime value and wants us + * to validate the key against the subprime, or that the + * caller wants us to verify that the prime is a safe prime + * by passing in subprime = (prime-1)/2 */ + dhSubPrime.data = NULL; + dhSubPrime.len = 0; + crv = sftk_Attribute2SecItem(NULL, &dhSubPrime, + sourceKey, CKA_SUBPRIME); + /* we ignore the value of crv here, We treat a valid + * return of len = 0 and a failure to find a subrime the same + * NOTE: we free the subprime in both cases depending on + * PORT_Free of NULL to be a noop */ + + /* The !isFIPS was suggested by FIPS review; with this change + * we will deny any primes that are not approved primes in + * FIPS mode. This probably breaks TLS for the most part. */ + if (!isFIPS && dhSubPrime.len != 0) { + PRBool isSafe = PR_FALSE; + + /* Callers can set dhSubPrime to q=(p-1)/2 to force + * checks for safe primes. If so we only need to check + * q and p for primality and skip the group test. */ + rv = sftk_IsSafePrime(&dhPrime, &dhSubPrime, &isSafe); + if (rv != SECSuccess) { + /* either p or q was even and therefore not prime, + * we can stop processing here and fail now */ + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + + /* first make sure the primes are really prime */ + if (!KEA_PrimeCheck(&dhPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + if (!KEA_PrimeCheck(&dhSubPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + if (isFIPS || !isSafe) { + /* With safe primes, there is only one other small + * subgroup. As long as y isn't 0, 1, or -1 mod p, + * any other y is safe. Only do the full check for + * non-safe primes, except in FIPS mode we need + * to do this check on all primes in which + * we receive the subprime value */ + if (!KEA_Verify(&dhPublic, &dhPrime, &dhSubPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + } + } else if (isFIPS) { + /* In FIPS mode we only accept approved primes, or + * primes with the full subprime value */ crv = CKR_ARGUMENTS_BAD; PORT_Free(dhPrime.data); - PORT_Free(dhValue.data); break; } + /* checks are complete, no need for the subPrime any longer */ + PORT_Free(dhSubPrime.data); + } + + /* now that the prime is validated, get the private value */ + crv = sftk_Attribute2SecItem(NULL, &dhValue, sourceKey, CKA_VALUE); + if (crv != CKR_OK) { + PORT_Free(dhPrime.data); + break; } /* calculate private value - oct */ rv = DH_Derive(&dhPublic, &dhPrime, &dhValue, &derived, keySize); PORT_Free(dhPrime.data); - PORT_Free(dhValue.data); + PORT_ZFree(dhValue.data, dhValue.len); if (rv == SECSuccess) { sftk_forceAttribute(key, CKA_VALUE, derived.data, derived.len); @@ -8124,6 +8297,12 @@ NSC_DeriveKey(CK_SESSION_HANDLE hSession, break; } + /* Enforce approved ECDH curves in FIPS mode */ + if (isFIPS && !is_approved_curve (privKey->u.ec.ecParams.name)) { + crv = CKR_GENERAL_ERROR; + break; + } + /* Now we are working with a non-NULL private key */ SECITEM_CopyItem(NULL, &ecScalar, &privKey->u.ec.privateValue); diff --git a/nss/lib/softoken/pkcs11i.h b/nss/lib/softoken/pkcs11i.h index fccf0f0..2e92643 100644 --- a/nss/lib/softoken/pkcs11i.h +++ b/nss/lib/softoken/pkcs11i.h @@ -798,6 +798,13 @@ sftk_TLSPRFInit(SFTKSessionContext *context, HASH_HashType hash_alg, unsigned int out_len); +/* dh verify functions */ +/* verify that dhPrime matches one of our known primes, and if so return + * it's subprime value */ +const SECItem *sftk_VerifyDH_Prime(SECItem *dhPrime); +/* check if dhSubPrime claims dhPrime is a safe prime. */ +SECStatus sftk_IsSafePrime(SECItem *dhPrime, SECItem *dhSubPrime, PRBool *isSafe); + SEC_END_PROTOS #endif /* _PKCS11I_H_ */ diff --git a/nss/lib/softoken/pkcs11u.c b/nss/lib/softoken/pkcs11u.c index 1acc52e..c63ebc4 100644 --- a/nss/lib/softoken/pkcs11u.c +++ b/nss/lib/softoken/pkcs11u.c @@ -684,7 +684,6 @@ sftk_modifyType(CK_ATTRIBUTE_TYPE type, CK_OBJECT_CLASS inClass) case CKA_PUBLIC_EXPONENT: case CKA_PRIVATE_EXPONENT: case CKA_PRIME: - case CKA_SUBPRIME: case CKA_BASE: case CKA_PRIME_1: case CKA_PRIME_2: @@ -735,6 +734,11 @@ sftk_modifyType(CK_ATTRIBUTE_TYPE type, CK_OBJECT_CLASS inClass) mtype = (inClass == CKO_DATA) ? SFTK_ALWAYS : SFTK_NEVER; break; + case CKA_SUBPRIME: + /* allow the CKA_SUBPRIME to be added to dh private keys */ + mtype = (inClass == CKO_PRIVATE_KEY) ? SFTK_ALWAYS : SFTK_NEVER; + break; + case CKA_SUBJECT: mtype = (inClass == CKO_CERTIFICATE) ? SFTK_NEVER : SFTK_ALWAYS; break; diff --git a/nss/lib/softoken/sftkdhverify.c b/nss/lib/softoken/sftkdhverify.c new file mode 100644 index 0000000..4fe904b --- /dev/null +++ b/nss/lib/softoken/sftkdhverify.c @@ -0,0 +1,1232 @@ + +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ +/* + * This file makes sure a prime given to us matches one of the known + * approved primes for diffie-helman. + * + * It also checks if a prime is a safe prime for the case + * where we don't match an approved prime. + */ +#include "seccomon.h" +#include "secitem.h" +#include "secerr.h" +#include "blapi.h" + +/* IKE 2048 prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 */ +static const unsigned char prime_ike_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 2048 prime is: 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1 */ +static const unsigned char prime_tls_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 3072 prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */ +static const unsigned char prime_ike_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 3072 prime is: 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1 */ +static const unsigned char prime_tls_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 4096 prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */ +static const unsigned char prime_ike_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 4096 prime is: 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1 */ +static const unsigned char prime_tls_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 6144 prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */ +static const unsigned char prime_ike_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 6144 prime is: 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1 */ +static const unsigned char prime_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 8192 prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */ +static const unsigned char prime_ike_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4, + 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0, + 0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00, + 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93, + 0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68, + 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB, + 0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9, + 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8, + 0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B, + 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F, + 0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A, + 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8, + 0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36, + 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5, + 0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1, + 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3, + 0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92, + 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E, + 0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47, + 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2, + 0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71, + 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 8192 prime is: 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1 */ +static const unsigned char prime_tls_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, + 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE, + 0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, + 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42, + 0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, + 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39, + 0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, + 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0, + 0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, + 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31, + 0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, + 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16, + 0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, + 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75, + 0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, + 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE, + 0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, + 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8, + 0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, + 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06, + 0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, + 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* q=(p-1)/2 for prime prime_ike_2048 */ +static const unsigned char subprime_ike_2048_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x56, 0x55, 0x34, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_2048 */ +static const unsigned char subprime_tls_2048_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x94, 0x2e, 0x4b, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_3072 */ +static const unsigned char subprime_ike_3072_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x9d, 0x69, 0x65, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_3072 */ +static const unsigned char subprime_tls_3072_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x63, 0x17, 0x1b, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_4096 */ +static const unsigned char subprime_ike_4096_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x03, 0x18, 0xcc, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_4096 */ +static const unsigned char subprime_tls_4096_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x32, 0xaf, 0xb5, + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_6144 */ +static const unsigned char subprime_ike_6144_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xe6, 0x20, 0x12, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_6144 */ +static const unsigned char subprime_tls_6144_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x68, 0x72, 0x07, 0x32, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_8192 */ +static const unsigned char subprime_ike_8192_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xdf, 0x08, 0xac, 0xba, 0x51, 0xc9, 0x37, 0x89, 0x7f, 0x72, 0xf2, + 0x1c, 0x3b, 0xbe, 0x5b, 0x54, 0x99, 0x6f, 0xc6, 0x6c, 0x5f, 0x62, 0x68, + 0x39, 0xdc, 0x98, 0xdd, 0x1d, 0xe4, 0x19, 0x5b, 0x46, 0xce, 0xe9, 0x80, + 0x3a, 0x0f, 0xd3, 0xdf, 0xc5, 0x7e, 0x23, 0xf6, 0x92, 0xbb, 0x7b, 0x49, + 0xb5, 0xd2, 0x12, 0x33, 0x1d, 0x55, 0xb1, 0xce, 0x2d, 0x72, 0x7a, 0xb4, + 0x1a, 0x11, 0xda, 0x3a, 0x15, 0xf8, 0xe4, 0xbc, 0x11, 0xc7, 0x8b, 0x65, + 0xf1, 0xce, 0xb2, 0x96, 0xf1, 0xfe, 0xdc, 0x5f, 0x7e, 0x42, 0x45, 0x6c, + 0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xbe, 0x03, 0x89, 0xf5, 0xab, 0xd4, + 0x0d, 0x11, 0xf8, 0x63, 0x9a, 0x39, 0xfe, 0x32, 0x36, 0x75, 0x18, 0x35, + 0xa5, 0xe5, 0xe4, 0x43, 0x17, 0xc1, 0xc2, 0xee, 0xfd, 0x4e, 0xa5, 0xbf, + 0xd1, 0x60, 0x43, 0xf4, 0x3c, 0xb4, 0x19, 0x81, 0xf6, 0xad, 0xee, 0x9d, + 0x03, 0x15, 0x9e, 0x7a, 0xd9, 0xd1, 0x3c, 0x53, 0x36, 0x95, 0x09, 0xfc, + 0x1f, 0xa2, 0x7c, 0x16, 0xef, 0x98, 0x87, 0x70, 0x3a, 0x55, 0xb5, 0x1b, + 0x22, 0xcb, 0xf4, 0x4c, 0xd0, 0x12, 0xae, 0xe0, 0xb2, 0x79, 0x8e, 0x62, + 0x84, 0x23, 0x42, 0x8e, 0xfc, 0xd5, 0xa4, 0x0c, 0xae, 0xf6, 0xbf, 0x50, + 0xd8, 0xea, 0x88, 0x5e, 0xbf, 0x73, 0xa6, 0xb9, 0xfd, 0x79, 0xb5, 0xe1, + 0x8f, 0x67, 0xd1, 0x34, 0x1a, 0xc8, 0x23, 0x7a, 0x75, 0xc3, 0xcf, 0xc9, + 0x20, 0x04, 0xa1, 0xc5, 0xa4, 0x0e, 0x36, 0x6b, 0xc4, 0x4d, 0x00, 0x17, + 0x6a, 0xf7, 0x1c, 0x15, 0xe4, 0x8c, 0x86, 0xd3, 0x7e, 0x01, 0x37, 0x23, + 0xca, 0xac, 0x72, 0x23, 0xab, 0x3b, 0xf4, 0xd5, 0x4f, 0x18, 0x28, 0x71, + 0x3b, 0x2b, 0x4a, 0x6f, 0xe4, 0x0f, 0xab, 0x74, 0x40, 0x5c, 0xb7, 0x38, + 0xb0, 0x64, 0xc0, 0x6e, 0xcc, 0x76, 0xe9, 0xef, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_8192 */ +static const unsigned char subprime_tls_8192_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x67, 0xfa, 0x35, 0x55, 0x1b, 0x56, 0x80, 0x26, 0x7b, 0x00, 0x64, 0x1c, + 0x0f, 0x21, 0x2d, 0x18, 0xec, 0xa8, 0xd7, 0x32, 0x7e, 0xd9, 0x1f, 0xe7, + 0x64, 0xa8, 0x4e, 0xa1, 0xb4, 0x3f, 0xf5, 0xb4, 0xf6, 0xe8, 0xe6, 0x2f, + 0x05, 0xc6, 0x61, 0xde, 0xfb, 0x25, 0x88, 0x77, 0xc3, 0x5b, 0x18, 0xa1, + 0x51, 0xd5, 0xc4, 0x14, 0xaa, 0xad, 0x97, 0xba, 0x3e, 0x49, 0x93, 0x32, + 0xe5, 0x96, 0x07, 0x8e, 0x60, 0x0d, 0xeb, 0x81, 0x14, 0x9c, 0x44, 0x1c, + 0xe9, 0x57, 0x82, 0xf2, 0x2a, 0x28, 0x25, 0x63, 0xc5, 0xba, 0xc1, 0x41, + 0x14, 0x23, 0x60, 0x5d, 0x1a, 0xe1, 0xaf, 0xae, 0x2c, 0x8b, 0x06, 0x60, + 0x23, 0x7e, 0xc1, 0x28, 0xaa, 0x0f, 0xe3, 0x46, 0x4e, 0x43, 0x58, 0x11, + 0x5d, 0xb8, 0x4c, 0xc3, 0xb5, 0x23, 0x07, 0x3a, 0x28, 0xd4, 0x54, 0x98, + 0x84, 0xb8, 0x1f, 0xf7, 0x0e, 0x10, 0xbf, 0x36, 0x1c, 0x13, 0x72, 0x96, + 0x28, 0xd5, 0x34, 0x8f, 0x07, 0x21, 0x1e, 0x7e, 0x4c, 0xf4, 0xf1, 0x8b, + 0x28, 0x60, 0x90, 0xbd, 0xb1, 0x24, 0x0b, 0x66, 0xd6, 0xcd, 0x4a, 0xfc, + 0xea, 0xdc, 0x00, 0xca, 0x44, 0x6c, 0xe0, 0x50, 0x50, 0xff, 0x18, 0x3a, + 0xd2, 0xbb, 0xf1, 0x18, 0xc1, 0xfc, 0x0e, 0xa5, 0x1f, 0x97, 0xd2, 0x2b, + 0x8f, 0x7e, 0x46, 0x70, 0x5d, 0x45, 0x27, 0xf4, 0x5b, 0x42, 0xae, 0xff, + 0x39, 0x58, 0x53, 0x37, 0x6f, 0x69, 0x7d, 0xd5, 0xfd, 0xf2, 0xc5, 0x18, + 0x7d, 0x7d, 0x5f, 0x0e, 0x2e, 0xb8, 0xd4, 0x3f, 0x17, 0xba, 0x0f, 0x7c, + 0x60, 0xff, 0x43, 0x7f, 0x53, 0x5d, 0xfe, 0xf2, 0x98, 0x33, 0xbf, 0x86, + 0xcb, 0xe8, 0x8e, 0xa4, 0xfb, 0xd4, 0x22, 0x1e, 0x84, 0x11, 0x72, 0x83, + 0x54, 0xfa, 0x30, 0xa7, 0x00, 0x8f, 0x15, 0x4a, 0x41, 0xc7, 0xfc, 0x46, + 0x6b, 0x46, 0x45, 0xdb, 0xe2, 0xe3, 0x21, 0x26, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +static const SECItem subprime_ike_2048 = + { siBuffer, + (unsigned char *)subprime_ike_2048_data, + sizeof(subprime_ike_2048_data) }; +static const SECItem subprime_ike_3072 = + { siBuffer, + (unsigned char *)subprime_ike_3072_data, + sizeof(subprime_ike_3072_data) }; +static const SECItem subprime_ike_4096 = + { siBuffer, + (unsigned char *)subprime_ike_4096_data, + sizeof(subprime_ike_4096_data) }; +static const SECItem subprime_ike_6144 = + { siBuffer, + (unsigned char *)subprime_ike_6144_data, + sizeof(subprime_ike_6144_data) }; +static const SECItem subprime_ike_8192 = + { siBuffer, + (unsigned char *)subprime_ike_8192_data, + sizeof(subprime_ike_8192_data) }; +static const SECItem subprime_tls_2048 = + { siBuffer, + (unsigned char *)subprime_tls_2048_data, + sizeof(subprime_tls_2048_data) }; +static const SECItem subprime_tls_3072 = + { siBuffer, + (unsigned char *)subprime_tls_3072_data, + sizeof(subprime_tls_3072_data) }; +static const SECItem subprime_tls_4096 = + { siBuffer, + (unsigned char *)subprime_tls_4096_data, + sizeof(subprime_tls_4096_data) }; +static const SECItem subprime_tls_6144 = + { siBuffer, + (unsigned char *)subprime_tls_6144_data, + sizeof(subprime_tls_6144_data) }; +static const SECItem subprime_tls_8192 = + { siBuffer, + (unsigned char *)subprime_tls_8192_data, + sizeof(subprime_tls_8192_data) }; + +/* + * verify that dhPrime matches one of our known primes + */ +const SECItem * +sftk_VerifyDH_Prime(SECItem *dhPrime) +{ + /* use the length to decide which primes to check */ + switch (dhPrime->len) { + case 2048 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_2048, + sizeof(prime_tls_2048)) == 0) { + return &subprime_tls_2048; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_2048, + sizeof(prime_ike_2048)) == 0) { + return &subprime_ike_2048; + } + break; + case 3072 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_3072, + sizeof(prime_tls_3072)) == 0) { + return &subprime_tls_3072; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_3072, + sizeof(prime_ike_3072)) == 0) { + return &subprime_ike_3072; + } + break; + case 4096 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_4096, + sizeof(prime_tls_4096)) == 0) { + return &subprime_tls_4096; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_4096, + sizeof(prime_ike_4096)) == 0) { + return &subprime_ike_4096; + } + break; + case 6144 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_6144, + sizeof(prime_tls_6144)) == 0) { + return &subprime_tls_6144; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_6144, + sizeof(prime_ike_6144)) == 0) { + return &subprime_ike_6144; + } + break; + case 8192 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_8192, + sizeof(prime_tls_8192)) == 0) { + return &subprime_tls_8192; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_8192, + sizeof(prime_ike_8192)) == 0) { + return &subprime_ike_8192; + } + break; + } + /* no match found, return an error */ + PORT_SetError(SEC_ERROR_INVALID_ARGS); + return NULL; +} + +/* Use the provided subPrime to see if dhPrime is a safe prime. We'll check + * primality of those values later. */ +SECStatus +sftk_IsSafePrime(const SECItem *dhPrime, const SECItem *dhSubPrime, PRBool *isSafe) +{ + int i; + unsigned char carry = 0; + int offset = 0, subPrimeLen = dhPrime->len; + *isSafe = PR_FALSE; + + /* Both dhPrime and dhSubPrime should be odd */ + if (((dhPrime->data[dhPrime->len - 1] & 0x1) != 1) && ((dhSubPrime->data[dhSubPrime->len - 1] & 0x1) != 1)) { + PORT_SetError(SEC_ERROR_INVALID_ARGS); + return SECFailure; + } + + /* subPrime is p-1/2, which means subPrime is 1 bit shorter than p. + * It's length in bytes is the same unless the high byte of p == 1 or 0. + */ + if (dhPrime->data[0] <= 1) { + subPrimeLen--; + offset++; + carry = (dhPrime->data[0]) << 7; + } + + /* if subprime len is not long enough it is not a strong prime */ + if (dhSubPrime->len != subPrimeLen) { + return SECSuccess; + } + + /* does the subprime match q == (p-1)/2 */ + for (i = 0; i < subPrimeLen; i++) { + if (dhSubPrime->data[i] != + (carry | ((dhPrime->data[i + offset] >> 1) & 0x7f))) { + return SECSuccess; + } + carry = ((dhPrime->data[i + offset] & 1) << 7) & 0x80; + } + /* subPrime for p claims to be q=(p-1)/2. So the caller thinks p + * is a strong prime, just need to check primality of p and q to verify */ + *isSafe = PR_TRUE; + return SECSuccess; +} diff --git a/nss/lib/softoken/softoken.gyp b/nss/lib/softoken/softoken.gyp index 8b67511..4b9bf73 100644 --- a/nss/lib/softoken/softoken.gyp +++ b/nss/lib/softoken/softoken.gyp @@ -56,6 +56,7 @@ 'pkcs11c.c', 'pkcs11u.c', 'sdb.c', + 'sftkdhverify.c', 'sftkdb.c', 'sftkhmac.c', 'sftkike.c',
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