X-Git-Url: https://git.openssl.org/gitweb/?p=openssl.git;a=blobdiff_plain;f=crypto%2Fbn%2Fbn_prime.h;h=ef16bb43d0fc8f7c2fdbe0b1d0f02099f02a3f82;hp=6fce0210cdd4495abf97adc7e842ac39d4a4a01f;hb=HEAD;hpb=78414a6a897db42c9bcf06aa21c705811ab33921 diff --git a/crypto/bn/bn_prime.h b/crypto/bn/bn_prime.h index 6fce0210cd..8a859ac02e 100644 --- a/crypto/bn/bn_prime.h +++ b/crypto/bn/bn_prime.h @@ -1,325 +1,273 @@ -/* crypto/bn/bn_prime.h */ -/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) - * All rights reserved. +/* + * WARNING: do not edit! + * Generated by crypto/bn/bn_prime.pl * - * This package is an SSL implementation written - * by Eric Young (eay@cryptsoft.com). - * The implementation was written so as to conform with Netscapes SSL. - * - * This library is free for commercial and non-commercial use as long as - * the following conditions are aheared to. The following conditions - * apply to all code found in this distribution, be it the RC4, RSA, - * lhash, DES, etc., code; not just the SSL code. The SSL documentation - * included with this distribution is covered by the same copyright terms - * except that the holder is Tim Hudson (tjh@cryptsoft.com). - * - * Copyright remains Eric Young's, and as such any Copyright notices in - * the code are not to be removed. - * If this package is used in a product, Eric Young should be given attribution - * as the author of the parts of the library used. - * This can be in the form of a textual message at program startup or - * in documentation (online or textual) provided with the package. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * 1. Redistributions of source code must retain the copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in the - * documentation and/or other materials provided with the distribution. - * 3. All advertising materials mentioning features or use of this software - * must display the following acknowledgement: - * "This product includes cryptographic software written by - * Eric Young (eay@cryptsoft.com)" - * The word 'cryptographic' can be left out if the rouines from the library - * being used are not cryptographic related :-). - * 4. If you include any Windows specific code (or a derivative thereof) from - * the apps directory (application code) you must include an acknowledgement: - * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" - * - * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND - * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE - * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE - * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL - * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS - * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY - * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF - * SUCH DAMAGE. - * - * The licence and distribution terms for any publically available version or - * derivative of this code cannot be changed. i.e. this code cannot simply be - * copied and put under another distribution licence - * [including the GNU Public Licence.] + * Copyright 1998-2021 The OpenSSL Project Authors. All Rights Reserved. + * + * Licensed under the Apache License 2.0 (the "License"). You may not use + * this file except in compliance with the License. You can obtain a copy + * in the file LICENSE in the source distribution or at + * https://www.openssl.org/source/license.html */ -#ifndef EIGHT_BIT -#define NUMPRIMES 2048 -#else -#define NUMPRIMES 54 -#endif -static unsigned int primes[NUMPRIMES]= - { - 2, 3, 5, 7, 11, 13, 17, 19, - 23, 29, 31, 37, 41, 43, 47, 53, - 59, 61, 67, 71, 73, 79, 83, 89, - 97, 101, 103, 107, 109, 113, 127, 131, - 137, 139, 149, 151, 157, 163, 167, 173, - 179, 181, 191, 193, 197, 199, 211, 223, - 227, 229, 233, 239, 241, 251, -#ifndef EIGHT_BIT - 257, 263, - 269, 271, 277, 281, 283, 293, 307, 311, - 313, 317, 331, 337, 347, 349, 353, 359, - 367, 373, 379, 383, 389, 397, 401, 409, - 419, 421, 431, 433, 439, 443, 449, 457, - 461, 463, 467, 479, 487, 491, 499, 503, - 509, 521, 523, 541, 547, 557, 563, 569, - 571, 577, 587, 593, 599, 601, 607, 613, - 617, 619, 631, 641, 643, 647, 653, 659, - 661, 673, 677, 683, 691, 701, 709, 719, - 727, 733, 739, 743, 751, 757, 761, 769, - 773, 787, 797, 809, 811, 821, 823, 827, - 829, 839, 853, 857, 859, 863, 877, 881, - 883, 887, 907, 911, 919, 929, 937, 941, - 947, 953, 967, 971, 977, 983, 991, 997, - 1009,1013,1019,1021,1031,1033,1039,1049, - 1051,1061,1063,1069,1087,1091,1093,1097, - 1103,1109,1117,1123,1129,1151,1153,1163, - 1171,1181,1187,1193,1201,1213,1217,1223, - 1229,1231,1237,1249,1259,1277,1279,1283, - 1289,1291,1297,1301,1303,1307,1319,1321, - 1327,1361,1367,1373,1381,1399,1409,1423, - 1427,1429,1433,1439,1447,1451,1453,1459, - 1471,1481,1483,1487,1489,1493,1499,1511, - 1523,1531,1543,1549,1553,1559,1567,1571, - 1579,1583,1597,1601,1607,1609,1613,1619, - 1621,1627,1637,1657,1663,1667,1669,1693, - 1697,1699,1709,1721,1723,1733,1741,1747, - 1753,1759,1777,1783,1787,1789,1801,1811, - 1823,1831,1847,1861,1867,1871,1873,1877, - 1879,1889,1901,1907,1913,1931,1933,1949, - 1951,1973,1979,1987,1993,1997,1999,2003, - 2011,2017,2027,2029,2039,2053,2063,2069, - 2081,2083,2087,2089,2099,2111,2113,2129, - 2131,2137,2141,2143,2153,2161,2179,2203, - 2207,2213,2221,2237,2239,2243,2251,2267, - 2269,2273,2281,2287,2293,2297,2309,2311, - 2333,2339,2341,2347,2351,2357,2371,2377, - 2381,2383,2389,2393,2399,2411,2417,2423, - 2437,2441,2447,2459,2467,2473,2477,2503, - 2521,2531,2539,2543,2549,2551,2557,2579, - 2591,2593,2609,2617,2621,2633,2647,2657, - 2659,2663,2671,2677,2683,2687,2689,2693, - 2699,2707,2711,2713,2719,2729,2731,2741, - 2749,2753,2767,2777,2789,2791,2797,2801, - 2803,2819,2833,2837,2843,2851,2857,2861, - 2879,2887,2897,2903,2909,2917,2927,2939, - 2953,2957,2963,2969,2971,2999,3001,3011, - 3019,3023,3037,3041,3049,3061,3067,3079, - 3083,3089,3109,3119,3121,3137,3163,3167, - 3169,3181,3187,3191,3203,3209,3217,3221, - 3229,3251,3253,3257,3259,3271,3299,3301, - 3307,3313,3319,3323,3329,3331,3343,3347, - 3359,3361,3371,3373,3389,3391,3407,3413, - 3433,3449,3457,3461,3463,3467,3469,3491, - 3499,3511,3517,3527,3529,3533,3539,3541, - 3547,3557,3559,3571,3581,3583,3593,3607, - 3613,3617,3623,3631,3637,3643,3659,3671, - 3673,3677,3691,3697,3701,3709,3719,3727, - 3733,3739,3761,3767,3769,3779,3793,3797, - 3803,3821,3823,3833,3847,3851,3853,3863, - 3877,3881,3889,3907,3911,3917,3919,3923, - 3929,3931,3943,3947,3967,3989,4001,4003, - 4007,4013,4019,4021,4027,4049,4051,4057, - 4073,4079,4091,4093,4099,4111,4127,4129, - 4133,4139,4153,4157,4159,4177,4201,4211, - 4217,4219,4229,4231,4241,4243,4253,4259, - 4261,4271,4273,4283,4289,4297,4327,4337, - 4339,4349,4357,4363,4373,4391,4397,4409, - 4421,4423,4441,4447,4451,4457,4463,4481, - 4483,4493,4507,4513,4517,4519,4523,4547, - 4549,4561,4567,4583,4591,4597,4603,4621, - 4637,4639,4643,4649,4651,4657,4663,4673, - 4679,4691,4703,4721,4723,4729,4733,4751, - 4759,4783,4787,4789,4793,4799,4801,4813, - 4817,4831,4861,4871,4877,4889,4903,4909, - 4919,4931,4933,4937,4943,4951,4957,4967, - 4969,4973,4987,4993,4999,5003,5009,5011, - 5021,5023,5039,5051,5059,5077,5081,5087, - 5099,5101,5107,5113,5119,5147,5153,5167, - 5171,5179,5189,5197,5209,5227,5231,5233, - 5237,5261,5273,5279,5281,5297,5303,5309, - 5323,5333,5347,5351,5381,5387,5393,5399, - 5407,5413,5417,5419,5431,5437,5441,5443, - 5449,5471,5477,5479,5483,5501,5503,5507, - 5519,5521,5527,5531,5557,5563,5569,5573, - 5581,5591,5623,5639,5641,5647,5651,5653, - 5657,5659,5669,5683,5689,5693,5701,5711, - 5717,5737,5741,5743,5749,5779,5783,5791, - 5801,5807,5813,5821,5827,5839,5843,5849, - 5851,5857,5861,5867,5869,5879,5881,5897, - 5903,5923,5927,5939,5953,5981,5987,6007, - 6011,6029,6037,6043,6047,6053,6067,6073, - 6079,6089,6091,6101,6113,6121,6131,6133, - 6143,6151,6163,6173,6197,6199,6203,6211, - 6217,6221,6229,6247,6257,6263,6269,6271, - 6277,6287,6299,6301,6311,6317,6323,6329, - 6337,6343,6353,6359,6361,6367,6373,6379, - 6389,6397,6421,6427,6449,6451,6469,6473, - 6481,6491,6521,6529,6547,6551,6553,6563, - 6569,6571,6577,6581,6599,6607,6619,6637, - 6653,6659,6661,6673,6679,6689,6691,6701, - 6703,6709,6719,6733,6737,6761,6763,6779, - 6781,6791,6793,6803,6823,6827,6829,6833, - 6841,6857,6863,6869,6871,6883,6899,6907, - 6911,6917,6947,6949,6959,6961,6967,6971, - 6977,6983,6991,6997,7001,7013,7019,7027, - 7039,7043,7057,7069,7079,7103,7109,7121, - 7127,7129,7151,7159,7177,7187,7193,7207, - 7211,7213,7219,7229,7237,7243,7247,7253, - 7283,7297,7307,7309,7321,7331,7333,7349, - 7351,7369,7393,7411,7417,7433,7451,7457, - 7459,7477,7481,7487,7489,7499,7507,7517, - 7523,7529,7537,7541,7547,7549,7559,7561, - 7573,7577,7583,7589,7591,7603,7607,7621, - 7639,7643,7649,7669,7673,7681,7687,7691, - 7699,7703,7717,7723,7727,7741,7753,7757, - 7759,7789,7793,7817,7823,7829,7841,7853, - 7867,7873,7877,7879,7883,7901,7907,7919, - 7927,7933,7937,7949,7951,7963,7993,8009, - 8011,8017,8039,8053,8059,8069,8081,8087, - 8089,8093,8101,8111,8117,8123,8147,8161, - 8167,8171,8179,8191,8209,8219,8221,8231, - 8233,8237,8243,8263,8269,8273,8287,8291, - 8293,8297,8311,8317,8329,8353,8363,8369, - 8377,8387,8389,8419,8423,8429,8431,8443, - 8447,8461,8467,8501,8513,8521,8527,8537, - 8539,8543,8563,8573,8581,8597,8599,8609, - 8623,8627,8629,8641,8647,8663,8669,8677, - 8681,8689,8693,8699,8707,8713,8719,8731, - 8737,8741,8747,8753,8761,8779,8783,8803, - 8807,8819,8821,8831,8837,8839,8849,8861, - 8863,8867,8887,8893,8923,8929,8933,8941, - 8951,8963,8969,8971,8999,9001,9007,9011, - 9013,9029,9041,9043,9049,9059,9067,9091, - 9103,9109,9127,9133,9137,9151,9157,9161, - 9173,9181,9187,9199,9203,9209,9221,9227, - 9239,9241,9257,9277,9281,9283,9293,9311, - 9319,9323,9337,9341,9343,9349,9371,9377, - 9391,9397,9403,9413,9419,9421,9431,9433, - 9437,9439,9461,9463,9467,9473,9479,9491, - 9497,9511,9521,9533,9539,9547,9551,9587, - 9601,9613,9619,9623,9629,9631,9643,9649, - 9661,9677,9679,9689,9697,9719,9721,9733, - 9739,9743,9749,9767,9769,9781,9787,9791, - 9803,9811,9817,9829,9833,9839,9851,9857, - 9859,9871,9883,9887,9901,9907,9923,9929, - 9931,9941,9949,9967,9973,10007,10009,10037, - 10039,10061,10067,10069,10079,10091,10093,10099, - 10103,10111,10133,10139,10141,10151,10159,10163, - 10169,10177,10181,10193,10211,10223,10243,10247, - 10253,10259,10267,10271,10273,10289,10301,10303, - 10313,10321,10331,10333,10337,10343,10357,10369, - 10391,10399,10427,10429,10433,10453,10457,10459, - 10463,10477,10487,10499,10501,10513,10529,10531, - 10559,10567,10589,10597,10601,10607,10613,10627, - 10631,10639,10651,10657,10663,10667,10687,10691, - 10709,10711,10723,10729,10733,10739,10753,10771, - 10781,10789,10799,10831,10837,10847,10853,10859, - 10861,10867,10883,10889,10891,10903,10909,10937, - 10939,10949,10957,10973,10979,10987,10993,11003, - 11027,11047,11057,11059,11069,11071,11083,11087, - 11093,11113,11117,11119,11131,11149,11159,11161, - 11171,11173,11177,11197,11213,11239,11243,11251, - 11257,11261,11273,11279,11287,11299,11311,11317, - 11321,11329,11351,11353,11369,11383,11393,11399, - 11411,11423,11437,11443,11447,11467,11471,11483, - 11489,11491,11497,11503,11519,11527,11549,11551, - 11579,11587,11593,11597,11617,11621,11633,11657, - 11677,11681,11689,11699,11701,11717,11719,11731, - 11743,11777,11779,11783,11789,11801,11807,11813, - 11821,11827,11831,11833,11839,11863,11867,11887, - 11897,11903,11909,11923,11927,11933,11939,11941, - 11953,11959,11969,11971,11981,11987,12007,12011, - 12037,12041,12043,12049,12071,12073,12097,12101, - 12107,12109,12113,12119,12143,12149,12157,12161, - 12163,12197,12203,12211,12227,12239,12241,12251, - 12253,12263,12269,12277,12281,12289,12301,12323, - 12329,12343,12347,12373,12377,12379,12391,12401, - 12409,12413,12421,12433,12437,12451,12457,12473, - 12479,12487,12491,12497,12503,12511,12517,12527, - 12539,12541,12547,12553,12569,12577,12583,12589, - 12601,12611,12613,12619,12637,12641,12647,12653, - 12659,12671,12689,12697,12703,12713,12721,12739, - 12743,12757,12763,12781,12791,12799,12809,12821, - 12823,12829,12841,12853,12889,12893,12899,12907, - 12911,12917,12919,12923,12941,12953,12959,12967, - 12973,12979,12983,13001,13003,13007,13009,13033, - 13037,13043,13049,13063,13093,13099,13103,13109, - 13121,13127,13147,13151,13159,13163,13171,13177, - 13183,13187,13217,13219,13229,13241,13249,13259, - 13267,13291,13297,13309,13313,13327,13331,13337, - 13339,13367,13381,13397,13399,13411,13417,13421, - 13441,13451,13457,13463,13469,13477,13487,13499, - 13513,13523,13537,13553,13567,13577,13591,13597, - 13613,13619,13627,13633,13649,13669,13679,13681, - 13687,13691,13693,13697,13709,13711,13721,13723, - 13729,13751,13757,13759,13763,13781,13789,13799, - 13807,13829,13831,13841,13859,13873,13877,13879, - 13883,13901,13903,13907,13913,13921,13931,13933, - 13963,13967,13997,13999,14009,14011,14029,14033, - 14051,14057,14071,14081,14083,14087,14107,14143, - 14149,14153,14159,14173,14177,14197,14207,14221, - 14243,14249,14251,14281,14293,14303,14321,14323, - 14327,14341,14347,14369,14387,14389,14401,14407, - 14411,14419,14423,14431,14437,14447,14449,14461, - 14479,14489,14503,14519,14533,14537,14543,14549, - 14551,14557,14561,14563,14591,14593,14621,14627, - 14629,14633,14639,14653,14657,14669,14683,14699, - 14713,14717,14723,14731,14737,14741,14747,14753, - 14759,14767,14771,14779,14783,14797,14813,14821, - 14827,14831,14843,14851,14867,14869,14879,14887, - 14891,14897,14923,14929,14939,14947,14951,14957, - 14969,14983,15013,15017,15031,15053,15061,15073, - 15077,15083,15091,15101,15107,15121,15131,15137, - 15139,15149,15161,15173,15187,15193,15199,15217, - 15227,15233,15241,15259,15263,15269,15271,15277, - 15287,15289,15299,15307,15313,15319,15329,15331, - 15349,15359,15361,15373,15377,15383,15391,15401, - 15413,15427,15439,15443,15451,15461,15467,15473, - 15493,15497,15511,15527,15541,15551,15559,15569, - 15581,15583,15601,15607,15619,15629,15641,15643, - 15647,15649,15661,15667,15671,15679,15683,15727, - 15731,15733,15737,15739,15749,15761,15767,15773, - 15787,15791,15797,15803,15809,15817,15823,15859, - 15877,15881,15887,15889,15901,15907,15913,15919, - 15923,15937,15959,15971,15973,15991,16001,16007, - 16033,16057,16061,16063,16067,16069,16073,16087, - 16091,16097,16103,16111,16127,16139,16141,16183, - 16187,16189,16193,16217,16223,16229,16231,16249, - 16253,16267,16273,16301,16319,16333,16339,16349, - 16361,16363,16369,16381,16411,16417,16421,16427, - 16433,16447,16451,16453,16477,16481,16487,16493, - 16519,16529,16547,16553,16561,16567,16573,16603, - 16607,16619,16631,16633,16649,16651,16657,16661, - 16673,16691,16693,16699,16703,16729,16741,16747, - 16759,16763,16787,16811,16823,16829,16831,16843, - 16871,16879,16883,16889,16901,16903,16921,16927, - 16931,16937,16943,16963,16979,16981,16987,16993, - 17011,17021,17027,17029,17033,17041,17047,17053, - 17077,17093,17099,17107,17117,17123,17137,17159, - 17167,17183,17189,17191,17203,17207,17209,17231, - 17239,17257,17291,17293,17299,17317,17321,17327, - 17333,17341,17351,17359,17377,17383,17387,17389, - 17393,17401,17417,17419,17431,17443,17449,17467, - 17471,17477,17483,17489,17491,17497,17509,17519, - 17539,17551,17569,17573,17579,17581,17597,17599, - 17609,17623,17627,17657,17659,17669,17681,17683, - 17707,17713,17729,17737,17747,17749,17761,17783, - 17789,17791,17807,17827,17837,17839,17851,17863, -#endif - }; +typedef unsigned short prime_t; +# define NUMPRIMES 2048 + +static const prime_t primes[2048] = { + 2, 3, 5, 7, 11, 13, 17, 19, + 23, 29, 31, 37, 41, 43, 47, 53, + 59, 61, 67, 71, 73, 79, 83, 89, + 97, 101, 103, 107, 109, 113, 127, 131, + 137, 139, 149, 151, 157, 163, 167, 173, + 179, 181, 191, 193, 197, 199, 211, 223, + 227, 229, 233, 239, 241, 251, 257, 263, + 269, 271, 277, 281, 283, 293, 307, 311, + 313, 317, 331, 337, 347, 349, 353, 359, + 367, 373, 379, 383, 389, 397, 401, 409, + 419, 421, 431, 433, 439, 443, 449, 457, + 461, 463, 467, 479, 487, 491, 499, 503, + 509, 521, 523, 541, 547, 557, 563, 569, + 571, 577, 587, 593, 599, 601, 607, 613, + 617, 619, 631, 641, 643, 647, 653, 659, + 661, 673, 677, 683, 691, 701, 709, 719, + 727, 733, 739, 743, 751, 757, 761, 769, + 773, 787, 797, 809, 811, 821, 823, 827, + 829, 839, 853, 857, 859, 863, 877, 881, + 883, 887, 907, 911, 919, 929, 937, 941, + 947, 953, 967, 971, 977, 983, 991, 997, + 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, + 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, + 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, + 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, + 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, + 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, + 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, + 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, + 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, + 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, + 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, + 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, + 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, + 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, + 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, + 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, + 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, + 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, + 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, + 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, + 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, + 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, + 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, + 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, + 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, + 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, + 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, + 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, + 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, + 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, + 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, + 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, + 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, + 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, + 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, + 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, + 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, + 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, + 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, + 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, + 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, + 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, + 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, + 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, + 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, + 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, + 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, + 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, + 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, + 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, + 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, + 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, + 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, + 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, + 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, + 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, + 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, + 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, + 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, + 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, + 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, + 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, + 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, + 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, + 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, + 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, + 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, + 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, + 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, + 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, + 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, + 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, + 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, + 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, + 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, + 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, + 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, + 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, + 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, + 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, + 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, + 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, + 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, + 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, + 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, + 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, + 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, + 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, + 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, + 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, + 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, + 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, + 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, + 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, + 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, + 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, + 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, + 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, + 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, + 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, + 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, + 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, + 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, + 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, + 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, + 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, + 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, + 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, + 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, + 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, + 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, + 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, + 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, + 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, + 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, + 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, + 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, + 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, + 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, + 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, + 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, + 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, + 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, + 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, + 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, + 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, + 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, + 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, + 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, + 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, + 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, + 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, + 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, + 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, + 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, + 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, + 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, + 10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, + 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, + 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, + 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, + 10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, + 10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, + 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, + 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, + 10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, + 11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, + 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, + 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, + 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, + 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, + 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, + 11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551, + 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, + 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, + 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, + 11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887, + 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, + 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, + 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, + 12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161, + 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, + 12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, + 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, + 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, + 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, + 12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, + 12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, + 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, + 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, + 12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, + 12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, + 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, + 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, + 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, + 13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, + 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, + 13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, + 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, + 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, + 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, + 13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, + 13729, 13751, 13757, 13759, 13763, 13781, 13789, 13799, + 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, + 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, + 13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033, + 14051, 14057, 14071, 14081, 14083, 14087, 14107, 14143, + 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, + 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, + 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, + 14411, 14419, 14423, 14431, 14437, 14447, 14449, 14461, + 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, + 14551, 14557, 14561, 14563, 14591, 14593, 14621, 14627, + 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, + 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, + 14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, + 14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887, + 14891, 14897, 14923, 14929, 14939, 14947, 14951, 14957, + 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, + 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, + 15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217, + 15227, 15233, 15241, 15259, 15263, 15269, 15271, 15277, + 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, + 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, + 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, + 15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, + 15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, + 15647, 15649, 15661, 15667, 15671, 15679, 15683, 15727, + 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, + 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, + 15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919, + 15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007, + 16033, 16057, 16061, 16063, 16067, 16069, 16073, 16087, + 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, + 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, + 16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349, + 16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, + 16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, + 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, + 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, + 16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747, + 16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843, + 16871, 16879, 16883, 16889, 16901, 16903, 16921, 16927, + 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, + 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, + 17077, 17093, 17099, 17107, 17117, 17123, 17137, 17159, + 17167, 17183, 17189, 17191, 17203, 17207, 17209, 17231, + 17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327, + 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, + 17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, + 17471, 17477, 17483, 17489, 17491, 17497, 17509, 17519, + 17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599, + 17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683, + 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, + 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, +};