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).

7 files changed, 1485 insertions, 36 deletions

diff --git a/lib/softoken/manifest.mn b/lib/softoken/manifest.mn
index e0766020e..b40561c47 100644
--- a/lib/softoken/manifest.mn
+++ b/lib/softoken/manifest.mn
@@ -44,6 +44,7 @@ CSRCS = \
 	pkcs11u.c  \
 	sdb.c  \
 	sftkdb.c  \
+	sftkdhverify.c  \
 	sftkhmac.c  \
 	sftkike.c  \
 	sftkmessage.c  \
diff --git a/lib/softoken/pkcs11.c b/lib/softoken/pkcs11.c
index 958ae27fd..216c5ac18 100644
--- a/lib/softoken/pkcs11.c
+++ b/lib/softoken/pkcs11.c
@@ -1196,6 +1196,11 @@ 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/lib/softoken/pkcs11c.c b/lib/softoken/pkcs11c.c
index 0557b6350..40d233279 100644
--- a/lib/softoken/pkcs11c.c
+++ b/lib/softoken/pkcs11c.c
@@ -4759,7 +4759,7 @@ loser:
  *                        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)
 {
     /*
@@ -4774,6 +4774,12 @@ 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 };
 
@@ -5033,24 +5039,106 @@ 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);
+        }
+        /* 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;
@@ -5594,7 +5682,7 @@ 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) {
@@ -8197,40 +8285,101 @@ 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 != SECSuccess) {
+            /* 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 */
+                if (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);
diff --git a/lib/softoken/pkcs11i.h b/lib/softoken/pkcs11i.h
index 45e29e827..141babc6f 100644
--- a/lib/softoken/pkcs11i.h
+++ b/lib/softoken/pkcs11i.h
@@ -914,6 +914,13 @@ CK_RV sftk_CheckCBCPadding(CK_BYTE_PTR pBuf, unsigned int bufLen,
 extern CK_RV kbkdf_Dispatch(CK_MECHANISM_TYPE mech, CK_SESSION_HANDLE hSession, CK_MECHANISM_PTR pMechanism, SFTKObject *base_key, SFTKObject *ret_key, CK_ULONG keySize);
 char **NSC_ModuleDBFunc(unsigned long function, char *parameters, void *args);
 
+/* 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/lib/softoken/pkcs11u.c b/lib/softoken/pkcs11u.c
index 8ee69617b..7d969a1bc 100644
--- a/lib/softoken/pkcs11u.c
+++ b/lib/softoken/pkcs11u.c
@@ -716,7 +716,6 @@ 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:
@@ -767,6 +766,11 @@ 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/lib/softoken/sftkdhverify.c b/lib/softoken/sftkdhverify.c
new file mode 100644
index 000000000..d85fba94f
--- /dev/null
+++ b/lib/softoken/sftkdhverify.c
@@ -0,0 +1,1282 @@
+
+/* 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 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
+};
+
+/* q=(p-1)/2 for prime prime_ike_1536 */
+static const unsigned char subprime_ike_1536_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, 0x11, 0xb9, 0x93, 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_1536 =
+    { siBuffer,
+      (unsigned char *)subprime_ike_1536_data,
+      sizeof(subprime_ike_1536_data) };
+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 1536 / PR_BITS_PER_BYTE:
+            if (PORT_Memcmp(dhPrime->data, prime_ike_1536,
+                            sizeof(prime_ike_1536)) == 0) {
+                return &subprime_ike_1536;
+            }
+            break;
+        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/lib/softoken/softoken.gyp b/lib/softoken/softoken.gyp
index 96942cd4a..1ff5286d7 100644
--- a/lib/softoken/softoken.gyp
+++ b/lib/softoken/softoken.gyp
@@ -56,6 +56,7 @@
           'pkcs11c.c',
           'pkcs11u.c',
           'sdb.c',
+          'sftkdhverify.c',
           'sftkdb.c',
           'sftkhmac.c',
           'sftkike.c',