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+/********************************************************************************/
+/* */
+/* Product of all of the Primes up to 1000 */
+/* Written by Ken Goldman */
+/* IBM Thomas J. Watson Research Center */
+/* $Id: PrimeData.c 1311 2018-08-23 21:39:29Z kgoldman $ */
+/* */
+/* Licenses and Notices */
+/* */
+/* 1. Copyright Licenses: */
+/* */
+/* - Trusted Computing Group (TCG) grants to the user of the source code in */
+/* this specification (the "Source Code") a worldwide, irrevocable, */
+/* nonexclusive, royalty free, copyright license to reproduce, create */
+/* derivative works, distribute, display and perform the Source Code and */
+/* derivative works thereof, and to grant others the rights granted herein. */
+/* */
+/* - The TCG grants to the user of the other parts of the specification */
+/* (other than the Source Code) the rights to reproduce, distribute, */
+/* display, and perform the specification solely for the purpose of */
+/* developing products based on such documents. */
+/* */
+/* 2. Source Code Distribution Conditions: */
+/* */
+/* - Redistributions of Source Code must retain the above copyright licenses, */
+/* this list of conditions and the following disclaimers. */
+/* */
+/* - Redistributions in binary form must reproduce the above copyright */
+/* licenses, this list of conditions and the following disclaimers in the */
+/* documentation and/or other materials provided with the distribution. */
+/* */
+/* 3. Disclaimers: */
+/* */
+/* - THE COPYRIGHT LICENSES SET FORTH ABOVE DO NOT REPRESENT ANY FORM OF */
+/* LICENSE OR WAIVER, EXPRESS OR IMPLIED, BY ESTOPPEL OR OTHERWISE, WITH */
+/* RESPECT TO PATENT RIGHTS HELD BY TCG MEMBERS (OR OTHER THIRD PARTIES) */
+/* THAT MAY BE NECESSARY TO IMPLEMENT THIS SPECIFICATION OR OTHERWISE. */
+/* Contact TCG Administration (admin@trustedcomputinggroup.org) for */
+/* information on specification licensing rights available through TCG */
+/* membership agreements. */
+/* */
+/* - THIS SPECIFICATION IS PROVIDED "AS IS" WITH NO EXPRESS OR IMPLIED */
+/* WARRANTIES WHATSOEVER, INCLUDING ANY WARRANTY OF MERCHANTABILITY OR */
+/* FITNESS FOR A PARTICULAR PURPOSE, ACCURACY, COMPLETENESS, OR */
+/* NONINFRINGEMENT OF INTELLECTUAL PROPERTY RIGHTS, OR ANY WARRANTY */
+/* OTHERWISE ARISING OUT OF ANY PROPOSAL, SPECIFICATION OR SAMPLE. */
+/* */
+/* - Without limitation, TCG and its members and licensors disclaim all */
+/* liability, including liability for infringement of any proprietary */
+/* rights, relating to use of information in this specification and to the */
+/* implementation of this specification, and TCG disclaims all liability for */
+/* cost of procurement of substitute goods or services, lost profits, loss */
+/* of use, loss of data or any incidental, consequential, direct, indirect, */
+/* or special damages, whether under contract, tort, warranty or otherwise, */
+/* arising in any way out of use or reliance upon this specification or any */
+/* information herein. */
+/* */
+/* (c) Copyright IBM Corp. and others, 2016 - 2018 */
+/* */
+/********************************************************************************/
+
+#include "Tpm.h"
+/* This table is the product of all of the primes up to 1000. Checking to see if there is a GCD
+ between a prime candidate and this number will eliminate many prime candidates from consideration
+ before running Miller-Rabin on the result. */
+const BN_STRUCT(43 * RADIX_BITS) s_CompositeOfSmallPrimes_ =
+{44, 44,
+ { 0x2ED42696, 0x2BBFA177, 0x4820594F, 0xF73F4841,
+ 0xBFAC313A, 0xCAC3EB81, 0xF6F26BF8, 0x7FAB5061,
+ 0x59746FB7, 0xF71377F6, 0x3B19855B, 0xCBD03132,
+ 0xBB92EF1B, 0x3AC3152C, 0xE87C8273, 0xC0AE0E69,
+ 0x74A9E295, 0x448CCE86, 0x63CA1907, 0x8A0BF944,
+ 0xF8CC3BE0, 0xC26F0AF5, 0xC501C02F, 0x6579441A,
+ 0xD1099CDA, 0x6BC76A00, 0xC81A3228, 0xBFB1AB25,
+ 0x70FA3841, 0x51B3D076, 0xCC2359ED, 0xD9EE0769,
+ 0x75E47AF0, 0xD45FF31E, 0x52CCE4F6, 0x04DBC891,
+ 0x96658ED2, 0x1753EFE5, 0x3AE4A5A6, 0x8FD4A97F,
+ 0x8B15E7EB, 0x0243C3E1, 0xE0F0C31D, 0x0000000B }
+};
+bigConst s_CompositeOfSmallPrimes = (const bigNum)&s_CompositeOfSmallPrimes_;
+/* This table contains a bit for each of the odd values between 1 and 2^16 + 1. This table allows
+ fast checking of the primes in that range. Don't change the size of this table unless you are
+ prepared to do redo IsPrimeInt(). */
+const uint32_t s_LastPrimeInTable = 65537;
+const uint32_t s_PrimeTableSize = 4097;
+const uint32_t s_PrimesInTable = 6542;
+const unsigned char s_PrimeTable[] = {
+ 0x6e, 0xcb, 0xb4, 0x64, 0x9a, 0x12, 0x6d, 0x81, 0x32, 0x4c, 0x4a, 0x86,
+ 0x0d, 0x82, 0x96, 0x21, 0xc9, 0x34, 0x04, 0x5a, 0x20, 0x61, 0x89, 0xa4,
+ 0x44, 0x11, 0x86, 0x29, 0xd1, 0x82, 0x28, 0x4a, 0x30, 0x40, 0x42, 0x32,
+ 0x21, 0x99, 0x34, 0x08, 0x4b, 0x06, 0x25, 0x42, 0x84, 0x48, 0x8a, 0x14,
+ 0x05, 0x42, 0x30, 0x6c, 0x08, 0xb4, 0x40, 0x0b, 0xa0, 0x08, 0x51, 0x12,
+ 0x28, 0x89, 0x04, 0x65, 0x98, 0x30, 0x4c, 0x80, 0x96, 0x44, 0x12, 0x80,
+ 0x21, 0x42, 0x12, 0x41, 0xc9, 0x04, 0x21, 0xc0, 0x32, 0x2d, 0x98, 0x00,
+ 0x00, 0x49, 0x04, 0x08, 0x81, 0x96, 0x68, 0x82, 0xb0, 0x25, 0x08, 0x22,
+ 0x48, 0x89, 0xa2, 0x40, 0x59, 0x26, 0x04, 0x90, 0x06, 0x40, 0x43, 0x30,
+ 0x44, 0x92, 0x00, 0x69, 0x10, 0x82, 0x08, 0x08, 0xa4, 0x0d, 0x41, 0x12,
+ 0x60, 0xc0, 0x00, 0x24, 0xd2, 0x22, 0x61, 0x08, 0x84, 0x04, 0x1b, 0x82,
+ 0x01, 0xd3, 0x10, 0x01, 0x02, 0xa0, 0x44, 0xc0, 0x22, 0x60, 0x91, 0x14,
+ 0x0c, 0x40, 0xa6, 0x04, 0xd2, 0x94, 0x20, 0x09, 0x94, 0x20, 0x52, 0x00,
+ 0x08, 0x10, 0xa2, 0x4c, 0x00, 0x82, 0x01, 0x51, 0x10, 0x08, 0x8b, 0xa4,
+ 0x25, 0x9a, 0x30, 0x44, 0x81, 0x10, 0x4c, 0x03, 0x02, 0x25, 0x52, 0x80,
+ 0x08, 0x49, 0x84, 0x20, 0x50, 0x32, 0x00, 0x18, 0xa2, 0x40, 0x11, 0x24,
+ 0x28, 0x01, 0x84, 0x01, 0x01, 0xa0, 0x41, 0x0a, 0x12, 0x45, 0x00, 0x36,
+ 0x08, 0x00, 0x26, 0x29, 0x83, 0x82, 0x61, 0xc0, 0x80, 0x04, 0x10, 0x10,
+ 0x6d, 0x00, 0x22, 0x48, 0x58, 0x26, 0x0c, 0xc2, 0x10, 0x48, 0x89, 0x24,
+ 0x20, 0x58, 0x20, 0x45, 0x88, 0x24, 0x00, 0x19, 0x02, 0x25, 0xc0, 0x10,
+ 0x68, 0x08, 0x14, 0x01, 0xca, 0x32, 0x28, 0x80, 0x00, 0x04, 0x4b, 0x26,
+ 0x00, 0x13, 0x90, 0x60, 0x82, 0x80, 0x25, 0xd0, 0x00, 0x01, 0x10, 0x32,
+ 0x0c, 0x43, 0x86, 0x21, 0x11, 0x00, 0x08, 0x43, 0x24, 0x04, 0x48, 0x10,
+ 0x0c, 0x90, 0x92, 0x00, 0x43, 0x20, 0x2d, 0x00, 0x06, 0x09, 0x88, 0x24,
+ 0x40, 0xc0, 0x32, 0x09, 0x09, 0x82, 0x00, 0x53, 0x80, 0x08, 0x80, 0x96,
+ 0x41, 0x81, 0x00, 0x40, 0x48, 0x10, 0x48, 0x08, 0x96, 0x48, 0x58, 0x20,
+ 0x29, 0xc3, 0x80, 0x20, 0x02, 0x94, 0x60, 0x92, 0x00, 0x20, 0x81, 0x22,
+ 0x44, 0x10, 0xa0, 0x05, 0x40, 0x90, 0x01, 0x49, 0x20, 0x04, 0x0a, 0x00,
+ 0x24, 0x89, 0x34, 0x48, 0x13, 0x80, 0x2c, 0xc0, 0x82, 0x29, 0x00, 0x24,
+ 0x45, 0x08, 0x00, 0x08, 0x98, 0x36, 0x04, 0x52, 0x84, 0x04, 0xd0, 0x04,
+ 0x00, 0x8a, 0x90, 0x44, 0x82, 0x32, 0x65, 0x18, 0x90, 0x00, 0x0a, 0x02,
+ 0x01, 0x40, 0x02, 0x28, 0x40, 0xa4, 0x04, 0x92, 0x30, 0x04, 0x11, 0x86,
+ 0x08, 0x42, 0x00, 0x2c, 0x52, 0x04, 0x08, 0xc9, 0x84, 0x60, 0x48, 0x12,
+ 0x09, 0x99, 0x24, 0x44, 0x00, 0x24, 0x00, 0x03, 0x14, 0x21, 0x00, 0x10,
+ 0x01, 0x1a, 0x32, 0x05, 0x88, 0x20, 0x40, 0x40, 0x06, 0x09, 0xc3, 0x84,
+ 0x40, 0x01, 0x30, 0x60, 0x18, 0x02, 0x68, 0x11, 0x90, 0x0c, 0x02, 0xa2,
+ 0x04, 0x00, 0x86, 0x29, 0x89, 0x14, 0x24, 0x82, 0x02, 0x41, 0x08, 0x80,
+ 0x04, 0x19, 0x80, 0x08, 0x10, 0x12, 0x68, 0x42, 0xa4, 0x04, 0x00, 0x02,
+ 0x61, 0x10, 0x06, 0x0c, 0x10, 0x00, 0x01, 0x12, 0x10, 0x20, 0x03, 0x94,
+ 0x21, 0x42, 0x12, 0x65, 0x18, 0x94, 0x0c, 0x0a, 0x04, 0x28, 0x01, 0x14,
+ 0x29, 0x0a, 0xa4, 0x40, 0xd0, 0x00, 0x40, 0x01, 0x90, 0x04, 0x41, 0x20,
+ 0x2d, 0x40, 0x82, 0x48, 0xc1, 0x20, 0x00, 0x10, 0x30, 0x01, 0x08, 0x24,
+ 0x04, 0x59, 0x84, 0x24, 0x00, 0x02, 0x29, 0x82, 0x00, 0x61, 0x58, 0x02,
+ 0x48, 0x81, 0x16, 0x48, 0x10, 0x00, 0x21, 0x11, 0x06, 0x00, 0xca, 0xa0,
+ 0x40, 0x02, 0x00, 0x04, 0x91, 0xb0, 0x00, 0x42, 0x04, 0x0c, 0x81, 0x06,
+ 0x09, 0x48, 0x14, 0x25, 0x92, 0x20, 0x25, 0x11, 0xa0, 0x00, 0x0a, 0x86,
+ 0x0c, 0xc1, 0x02, 0x48, 0x00, 0x20, 0x45, 0x08, 0x32, 0x00, 0x98, 0x06,
+ 0x04, 0x13, 0x22, 0x00, 0x82, 0x04, 0x48, 0x81, 0x14, 0x44, 0x82, 0x12,
+ 0x24, 0x18, 0x10, 0x40, 0x43, 0x80, 0x28, 0xd0, 0x04, 0x20, 0x81, 0x24,
+ 0x64, 0xd8, 0x00, 0x2c, 0x09, 0x12, 0x08, 0x41, 0xa2, 0x00, 0x00, 0x02,
+ 0x41, 0xca, 0x20, 0x41, 0xc0, 0x10, 0x01, 0x18, 0xa4, 0x04, 0x18, 0xa4,
+ 0x20, 0x12, 0x94, 0x20, 0x83, 0xa0, 0x40, 0x02, 0x32, 0x44, 0x80, 0x04,
+ 0x00, 0x18, 0x00, 0x0c, 0x40, 0x86, 0x60, 0x8a, 0x00, 0x64, 0x88, 0x12,
+ 0x05, 0x01, 0x82, 0x00, 0x4a, 0xa2, 0x01, 0xc1, 0x10, 0x61, 0x09, 0x04,
+ 0x01, 0x88, 0x00, 0x60, 0x01, 0xb4, 0x40, 0x08, 0x06, 0x01, 0x03, 0x80,
+ 0x08, 0x40, 0x94, 0x04, 0x8a, 0x20, 0x29, 0x80, 0x02, 0x0c, 0x52, 0x02,
+ 0x01, 0x42, 0x84, 0x00, 0x80, 0x84, 0x64, 0x02, 0x32, 0x48, 0x00, 0x30,
+ 0x44, 0x40, 0x22, 0x21, 0x00, 0x02, 0x08, 0xc3, 0xa0, 0x04, 0xd0, 0x20,
+ 0x40, 0x18, 0x16, 0x40, 0x40, 0x00, 0x28, 0x52, 0x90, 0x08, 0x82, 0x14,
+ 0x01, 0x18, 0x10, 0x08, 0x09, 0x82, 0x40, 0x0a, 0xa0, 0x20, 0x93, 0x80,
+ 0x08, 0xc0, 0x00, 0x20, 0x52, 0x00, 0x05, 0x01, 0x10, 0x40, 0x11, 0x06,
+ 0x0c, 0x82, 0x00, 0x00, 0x4b, 0x90, 0x44, 0x9a, 0x00, 0x28, 0x80, 0x90,
+ 0x04, 0x4a, 0x06, 0x09, 0x43, 0x02, 0x28, 0x00, 0x34, 0x01, 0x18, 0x00,
+ 0x65, 0x09, 0x80, 0x44, 0x03, 0x00, 0x24, 0x02, 0x82, 0x61, 0x48, 0x14,
+ 0x41, 0x00, 0x12, 0x28, 0x00, 0x34, 0x08, 0x51, 0x04, 0x05, 0x12, 0x90,
+ 0x28, 0x89, 0x84, 0x60, 0x12, 0x10, 0x49, 0x10, 0x26, 0x40, 0x49, 0x82,
+ 0x00, 0x91, 0x10, 0x01, 0x0a, 0x24, 0x40, 0x88, 0x10, 0x4c, 0x10, 0x04,
+ 0x00, 0x50, 0xa2, 0x2c, 0x40, 0x90, 0x48, 0x0a, 0xb0, 0x01, 0x50, 0x12,
+ 0x08, 0x00, 0xa4, 0x04, 0x09, 0xa0, 0x28, 0x92, 0x02, 0x00, 0x43, 0x10,
+ 0x21, 0x02, 0x20, 0x41, 0x81, 0x32, 0x00, 0x08, 0x04, 0x0c, 0x52, 0x00,
+ 0x21, 0x49, 0x84, 0x20, 0x10, 0x02, 0x01, 0x81, 0x10, 0x48, 0x40, 0x22,
+ 0x01, 0x01, 0x84, 0x69, 0xc1, 0x30, 0x01, 0xc8, 0x02, 0x44, 0x88, 0x00,
+ 0x0c, 0x01, 0x02, 0x2d, 0xc0, 0x12, 0x61, 0x00, 0xa0, 0x00, 0xc0, 0x30,
+ 0x40, 0x01, 0x12, 0x08, 0x0b, 0x20, 0x00, 0x80, 0x94, 0x40, 0x01, 0x84,
+ 0x40, 0x00, 0x32, 0x00, 0x10, 0x84, 0x00, 0x0b, 0x24, 0x00, 0x01, 0x06,
+ 0x29, 0x8a, 0x84, 0x41, 0x80, 0x10, 0x08, 0x08, 0x94, 0x4c, 0x03, 0x80,
+ 0x01, 0x40, 0x96, 0x40, 0x41, 0x20, 0x20, 0x50, 0x22, 0x25, 0x89, 0xa2,
+ 0x40, 0x40, 0xa4, 0x20, 0x02, 0x86, 0x28, 0x01, 0x20, 0x21, 0x4a, 0x10,
+ 0x08, 0x00, 0x14, 0x08, 0x40, 0x04, 0x25, 0x42, 0x02, 0x21, 0x43, 0x10,
+ 0x04, 0x92, 0x00, 0x21, 0x11, 0xa0, 0x4c, 0x18, 0x22, 0x09, 0x03, 0x84,
+ 0x41, 0x89, 0x10, 0x04, 0x82, 0x22, 0x24, 0x01, 0x14, 0x08, 0x08, 0x84,
+ 0x08, 0xc1, 0x00, 0x09, 0x42, 0xb0, 0x41, 0x8a, 0x02, 0x00, 0x80, 0x36,
+ 0x04, 0x49, 0xa0, 0x24, 0x91, 0x00, 0x00, 0x02, 0x94, 0x41, 0x92, 0x02,
+ 0x01, 0x08, 0x06, 0x08, 0x09, 0x00, 0x01, 0xd0, 0x16, 0x28, 0x89, 0x80,
+ 0x60, 0x00, 0x00, 0x68, 0x01, 0x90, 0x0c, 0x50, 0x20, 0x01, 0x40, 0x80,
+ 0x40, 0x42, 0x30, 0x41, 0x00, 0x20, 0x25, 0x81, 0x06, 0x40, 0x49, 0x00,
+ 0x08, 0x01, 0x12, 0x49, 0x00, 0xa0, 0x20, 0x18, 0x30, 0x05, 0x01, 0xa6,
+ 0x00, 0x10, 0x24, 0x28, 0x00, 0x02, 0x20, 0xc8, 0x20, 0x00, 0x88, 0x12,
+ 0x0c, 0x90, 0x92, 0x00, 0x02, 0x26, 0x01, 0x42, 0x16, 0x49, 0x00, 0x04,
+ 0x24, 0x42, 0x02, 0x01, 0x88, 0x80, 0x0c, 0x1a, 0x80, 0x08, 0x10, 0x00,
+ 0x60, 0x02, 0x94, 0x44, 0x88, 0x00, 0x69, 0x11, 0x30, 0x08, 0x12, 0xa0,
+ 0x24, 0x13, 0x84, 0x00, 0x82, 0x00, 0x65, 0xc0, 0x10, 0x28, 0x00, 0x30,
+ 0x04, 0x03, 0x20, 0x01, 0x11, 0x06, 0x01, 0xc8, 0x80, 0x00, 0xc2, 0x20,
+ 0x08, 0x10, 0x82, 0x0c, 0x13, 0x02, 0x0c, 0x52, 0x06, 0x40, 0x00, 0xb0,
+ 0x61, 0x40, 0x10, 0x01, 0x98, 0x86, 0x04, 0x10, 0x84, 0x08, 0x92, 0x14,
+ 0x60, 0x41, 0x80, 0x41, 0x1a, 0x10, 0x04, 0x81, 0x22, 0x40, 0x41, 0x20,
+ 0x29, 0x52, 0x00, 0x41, 0x08, 0x34, 0x60, 0x10, 0x00, 0x28, 0x01, 0x10,
+ 0x40, 0x00, 0x84, 0x08, 0x42, 0x90, 0x20, 0x48, 0x04, 0x04, 0x52, 0x02,
+ 0x00, 0x08, 0x20, 0x04, 0x00, 0x82, 0x0d, 0x00, 0x82, 0x40, 0x02, 0x10,
+ 0x05, 0x48, 0x20, 0x40, 0x99, 0x00, 0x00, 0x01, 0x06, 0x24, 0xc0, 0x00,
+ 0x68, 0x82, 0x04, 0x21, 0x12, 0x10, 0x44, 0x08, 0x04, 0x00, 0x40, 0xa6,
+ 0x20, 0xd0, 0x16, 0x09, 0xc9, 0x24, 0x41, 0x02, 0x20, 0x0c, 0x09, 0x92,
+ 0x40, 0x12, 0x00, 0x00, 0x40, 0x00, 0x09, 0x43, 0x84, 0x20, 0x98, 0x02,
+ 0x01, 0x11, 0x24, 0x00, 0x43, 0x24, 0x00, 0x03, 0x90, 0x08, 0x41, 0x30,
+ 0x24, 0x58, 0x20, 0x4c, 0x80, 0x82, 0x08, 0x10, 0x24, 0x25, 0x81, 0x06,
+ 0x41, 0x09, 0x10, 0x20, 0x18, 0x10, 0x44, 0x80, 0x10, 0x00, 0x4a, 0x24,
+ 0x0d, 0x01, 0x94, 0x28, 0x80, 0x30, 0x00, 0xc0, 0x02, 0x60, 0x10, 0x84,
+ 0x0c, 0x02, 0x00, 0x09, 0x02, 0x82, 0x01, 0x08, 0x10, 0x04, 0xc2, 0x20,
+ 0x68, 0x09, 0x06, 0x04, 0x18, 0x00, 0x00, 0x11, 0x90, 0x08, 0x0b, 0x10,
+ 0x21, 0x82, 0x02, 0x0c, 0x10, 0xb6, 0x08, 0x00, 0x26, 0x00, 0x41, 0x02,
+ 0x01, 0x4a, 0x24, 0x21, 0x1a, 0x20, 0x24, 0x80, 0x00, 0x44, 0x02, 0x00,
+ 0x2d, 0x40, 0x02, 0x00, 0x8b, 0x94, 0x20, 0x10, 0x00, 0x20, 0x90, 0xa6,
+ 0x40, 0x13, 0x00, 0x2c, 0x11, 0x86, 0x61, 0x01, 0x80, 0x41, 0x10, 0x02,
+ 0x04, 0x81, 0x30, 0x48, 0x48, 0x20, 0x28, 0x50, 0x80, 0x21, 0x8a, 0x10,
+ 0x04, 0x08, 0x10, 0x09, 0x10, 0x10, 0x48, 0x42, 0xa0, 0x0c, 0x82, 0x92,
+ 0x60, 0xc0, 0x20, 0x05, 0xd2, 0x20, 0x40, 0x01, 0x00, 0x04, 0x08, 0x82,
+ 0x2d, 0x82, 0x02, 0x00, 0x48, 0x80, 0x41, 0x48, 0x10, 0x00, 0x91, 0x04,
+ 0x04, 0x03, 0x84, 0x00, 0xc2, 0x04, 0x68, 0x00, 0x00, 0x64, 0xc0, 0x22,
+ 0x40, 0x08, 0x32, 0x44, 0x09, 0x86, 0x00, 0x91, 0x02, 0x28, 0x01, 0x00,
+ 0x64, 0x48, 0x00, 0x24, 0x10, 0x90, 0x00, 0x43, 0x00, 0x21, 0x52, 0x86,
+ 0x41, 0x8b, 0x90, 0x20, 0x40, 0x20, 0x08, 0x88, 0x04, 0x44, 0x13, 0x20,
+ 0x00, 0x02, 0x84, 0x60, 0x81, 0x90, 0x24, 0x40, 0x30, 0x00, 0x08, 0x10,
+ 0x08, 0x08, 0x02, 0x01, 0x10, 0x04, 0x20, 0x43, 0xb4, 0x40, 0x90, 0x12,
+ 0x68, 0x01, 0x80, 0x4c, 0x18, 0x00, 0x08, 0xc0, 0x12, 0x49, 0x40, 0x10,
+ 0x24, 0x1a, 0x00, 0x41, 0x89, 0x24, 0x4c, 0x10, 0x00, 0x04, 0x52, 0x10,
+ 0x09, 0x4a, 0x20, 0x41, 0x48, 0x22, 0x69, 0x11, 0x14, 0x08, 0x10, 0x06,
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+ 0x40, 0x89, 0x00, 0x24, 0x08, 0x10, 0x05, 0x90, 0x32, 0x40, 0x0a, 0x82,
+ 0x08, 0x00, 0x12, 0x61, 0x00, 0x04, 0x21, 0x00, 0x22, 0x04, 0x10, 0x24,
+ 0x08, 0x0a, 0x04, 0x01, 0x10, 0x00, 0x20, 0x40, 0x84, 0x04, 0x88, 0x22,
+ 0x20, 0x90, 0x12, 0x00, 0x53, 0x06, 0x24, 0x01, 0x04, 0x40, 0x0b, 0x14,
+ 0x60, 0x82, 0x02, 0x0d, 0x10, 0x90, 0x0c, 0x08, 0x20, 0x09, 0x00, 0x14,
+ 0x09, 0x80, 0x80, 0x24, 0x82, 0x00, 0x40, 0x01, 0x02, 0x44, 0x01, 0x20,
+ 0x0c, 0x40, 0x84, 0x40, 0x0a, 0x10, 0x41, 0x00, 0x30, 0x05, 0x09, 0x80,
+ 0x44, 0x08, 0x20, 0x20, 0x02, 0x00, 0x49, 0x43, 0x20, 0x21, 0x00, 0x20,
+ 0x00, 0x01, 0xb6, 0x08, 0x40, 0x04, 0x08, 0x02, 0x80, 0x01, 0x41, 0x80,
+ 0x40, 0x08, 0x10, 0x24, 0x00, 0x20, 0x04, 0x12, 0x86, 0x09, 0xc0, 0x12,
+ 0x21, 0x81, 0x14, 0x04, 0x00, 0x02, 0x20, 0x89, 0xb4, 0x44, 0x12, 0x80,
+ 0x00, 0xd1, 0x00, 0x69, 0x40, 0x80, 0x00, 0x42, 0x12, 0x00, 0x18, 0x04,
+ 0x00, 0x49, 0x06, 0x21, 0x02, 0x04, 0x28, 0x02, 0x84, 0x01, 0xc0, 0x10,
+ 0x68, 0x00, 0x20, 0x08, 0x40, 0x00, 0x08, 0x91, 0x10, 0x01, 0x81, 0x24,
+ 0x04, 0xd2, 0x10, 0x4c, 0x88, 0x86, 0x00, 0x10, 0x80, 0x0c, 0x02, 0x14,
+ 0x00, 0x8a, 0x90, 0x40, 0x18, 0x20, 0x21, 0x80, 0xa4, 0x00, 0x58, 0x24,
+ 0x20, 0x10, 0x10, 0x60, 0xc1, 0x30, 0x41, 0x48, 0x02, 0x48, 0x09, 0x00,
+ 0x40, 0x09, 0x02, 0x05, 0x11, 0x82, 0x20, 0x4a, 0x20, 0x24, 0x18, 0x02,
+ 0x0c, 0x10, 0x22, 0x0c, 0x0a, 0x04, 0x00, 0x03, 0x06, 0x48, 0x48, 0x04,
+ 0x04, 0x02, 0x00, 0x21, 0x80, 0x84, 0x00, 0x18, 0x00, 0x0c, 0x02, 0x12,
+ 0x01, 0x00, 0x14, 0x05, 0x82, 0x10, 0x41, 0x89, 0x12, 0x08, 0x40, 0xa4,
+ 0x21, 0x01, 0x84, 0x48, 0x02, 0x10, 0x60, 0x40, 0x02, 0x28, 0x00, 0x14,
+ 0x08, 0x40, 0xa0, 0x20, 0x51, 0x12, 0x00, 0xc2, 0x00, 0x01, 0x1a, 0x30,
+ 0x40, 0x89, 0x12, 0x4c, 0x02, 0x80, 0x00, 0x00, 0x14, 0x01, 0x01, 0xa0,
+ 0x21, 0x18, 0x22, 0x21, 0x18, 0x06, 0x40, 0x01, 0x80, 0x00, 0x90, 0x04,
+ 0x48, 0x02, 0x30, 0x04, 0x08, 0x00, 0x05, 0x88, 0x24, 0x08, 0x48, 0x04,
+ 0x24, 0x02, 0x06, 0x00, 0x80, 0x00, 0x00, 0x00, 0x10, 0x65, 0x11, 0x90,
+ 0x00, 0x0a, 0x82, 0x04, 0xc3, 0x04, 0x60, 0x48, 0x24, 0x04, 0x92, 0x02,
+ 0x44, 0x88, 0x80, 0x40, 0x18, 0x06, 0x29, 0x80, 0x10, 0x01, 0x00, 0x00,
+ 0x44, 0xc8, 0x10, 0x21, 0x89, 0x30, 0x00, 0x4b, 0xa0, 0x01, 0x10, 0x14,
+ 0x00, 0x02, 0x94, 0x40, 0x00, 0x20, 0x65, 0x00, 0xa2, 0x0c, 0x40, 0x22,
+ 0x20, 0x81, 0x12, 0x20, 0x82, 0x04, 0x01, 0x10, 0x00, 0x08, 0x88, 0x00,
+ 0x00, 0x11, 0x80, 0x04, 0x42, 0x80, 0x40, 0x41, 0x14, 0x00, 0x40, 0x32,
+ 0x2c, 0x80, 0x24, 0x04, 0x19, 0x00, 0x00, 0x91, 0x00, 0x20, 0x83, 0x00,
+ 0x05, 0x40, 0x20, 0x09, 0x01, 0x84, 0x40, 0x40, 0x20, 0x20, 0x11, 0x00,
+ 0x40, 0x41, 0x90, 0x20, 0x00, 0x00, 0x40, 0x90, 0x92, 0x48, 0x18, 0x06,
+ 0x08, 0x81, 0x80, 0x48, 0x01, 0x34, 0x24, 0x10, 0x20, 0x04, 0x00, 0x20,
+ 0x04, 0x18, 0x06, 0x2d, 0x90, 0x10, 0x01, 0x00, 0x90, 0x00, 0x0a, 0x22,
+ 0x01, 0x00, 0x22, 0x00, 0x11, 0x84, 0x01, 0x01, 0x00, 0x20, 0x88, 0x00,
+ 0x44, 0x00, 0x22, 0x01, 0x00, 0xa6, 0x40, 0x02, 0x06, 0x20, 0x11, 0x00,
+ 0x01, 0xc8, 0xa0, 0x04, 0x8a, 0x00, 0x28, 0x19, 0x80, 0x00, 0x52, 0xa0,
+ 0x24, 0x12, 0x12, 0x09, 0x08, 0x24, 0x01, 0x48, 0x00, 0x04, 0x00, 0x24,
+ 0x40, 0x02, 0x84, 0x08, 0x00, 0x04, 0x48, 0x40, 0x90, 0x60, 0x0a, 0x22,
+ 0x01, 0x88, 0x14, 0x08, 0x01, 0x02, 0x08, 0xd3, 0x00, 0x20, 0xc0, 0x90,
+ 0x24, 0x10, 0x00, 0x00, 0x01, 0xb0, 0x08, 0x0a, 0xa0, 0x00, 0x80, 0x00,
+ 0x01, 0x09, 0x00, 0x20, 0x52, 0x02, 0x25, 0x00, 0x24, 0x04, 0x02, 0x84,
+ 0x24, 0x10, 0x92, 0x40, 0x02, 0xa0, 0x40, 0x00, 0x22, 0x08, 0x11, 0x04,
+ 0x08, 0x01, 0x22, 0x00, 0x42, 0x14, 0x00, 0x09, 0x90, 0x21, 0x00, 0x30,
+ 0x6c, 0x00, 0x00, 0x0c, 0x00, 0x22, 0x09, 0x90, 0x10, 0x28, 0x40, 0x00,
+ 0x20, 0xc0, 0x20, 0x00, 0x90, 0x00, 0x40, 0x01, 0x82, 0x05, 0x12, 0x12,
+ 0x09, 0xc1, 0x04, 0x61, 0x80, 0x02, 0x28, 0x81, 0x24, 0x00, 0x49, 0x04,
+ 0x08, 0x10, 0x86, 0x29, 0x41, 0x80, 0x21, 0x0a, 0x30, 0x49, 0x88, 0x90,
+ 0x00, 0x41, 0x04, 0x29, 0x81, 0x80, 0x41, 0x09, 0x00, 0x40, 0x12, 0x10,
+ 0x40, 0x00, 0x10, 0x40, 0x48, 0x02, 0x05, 0x80, 0x02, 0x21, 0x40, 0x20,
+ 0x00, 0x58, 0x20, 0x60, 0x00, 0x90, 0x48, 0x00, 0x80, 0x28, 0xc0, 0x80,
+ 0x48, 0x00, 0x00, 0x44, 0x80, 0x02, 0x00, 0x09, 0x06, 0x00, 0x12, 0x02,
+ 0x01, 0x00, 0x10, 0x08, 0x83, 0x10, 0x45, 0x12, 0x00, 0x2c, 0x08, 0x04,
+ 0x44, 0x00, 0x20, 0x20, 0xc0, 0x10, 0x20, 0x01, 0x00, 0x05, 0xc8, 0x20,
+ 0x04, 0x98, 0x10, 0x08, 0x10, 0x00, 0x24, 0x02, 0x16, 0x40, 0x88, 0x00,
+ 0x61, 0x88, 0x12, 0x24, 0x80, 0xa6, 0x00, 0x42, 0x00, 0x08, 0x10, 0x06,
+ 0x48, 0x40, 0xa0, 0x00, 0x50, 0x20, 0x04, 0x81, 0xa4, 0x40, 0x18, 0x00,
+ 0x08, 0x10, 0x80, 0x01, 0x01};
+#if RSA_KEY_SIEVE && SIMULATION && RSA_INSTRUMENT
+UINT32 PrimeIndex = 0;
+UINT32 failedAtIteration[10] = {0};
+UINT32 PrimeCounts[3] = {0};
+UINT32 MillerRabinTrials[3] = {0};
+UINT32 totalFieldsSieved[3] = {0};
+UINT32 bitsInFieldAfterSieve[3] = {0};
+UINT32 emptyFieldsSieved[3] = {0};
+UINT32 noPrimeFields[3] = {0};
+UINT32 primesChecked[3] = {0};
+UINT16 lastSievePrime = 0;
+#endif