bn_prime.h revision 325335
1/* Auto generated by bn_prime.pl */ 2/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) 3 * All rights reserved. 4 * 5 * This package is an SSL implementation written 6 * by Eric Young (eay@cryptsoft.com). 7 * The implementation was written so as to conform with Netscapes SSL. 8 * 9 * This library is free for commercial and non-commercial use as long as 10 * the following conditions are aheared to. The following conditions 11 * apply to all code found in this distribution, be it the RC4, RSA, 12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation 13 * included with this distribution is covered by the same copyright terms 14 * except that the holder is Tim Hudson (tjh@cryptsoft.com). 15 * 16 * Copyright remains Eric Young's, and as such any Copyright notices in 17 * the code are not to be removed. 18 * If this package is used in a product, Eric Young should be given attribution 19 * as the author of the parts of the library used. 20 * This can be in the form of a textual message at program startup or 21 * in documentation (online or textual) provided with the package. 22 * 23 * Redistribution and use in source and binary forms, with or without 24 * modification, are permitted provided that the following conditions 25 * are met: 26 * 1. Redistributions of source code must retain the copyright 27 * notice, this list of conditions and the following disclaimer. 28 * 2. Redistributions in binary form must reproduce the above copyright 29 * notice, this list of conditions and the following disclaimer in the 30 * documentation and/or other materials provided with the distribution. 31 * 3. All advertising materials mentioning features or use of this software 32 * must display the following acknowledgement: 33 * "This product includes cryptographic software written by 34 * Eric Young (eay@cryptsoft.com)" 35 * The word 'cryptographic' can be left out if the rouines from the library 36 * being used are not cryptographic related :-). 37 * 4. If you include any Windows specific code (or a derivative thereof) from 38 * the apps directory (application code) you must include an acknowledgement: 39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" 40 * 41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND 42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 51 * SUCH DAMAGE. 52 * 53 * The licence and distribution terms for any publically available version or 54 * derivative of this code cannot be changed. i.e. this code cannot simply be 55 * copied and put under another distribution licence 56 * [including the GNU Public Licence.] 57 */ 58 59#ifndef EIGHT_BIT 60# define NUMPRIMES 2048 61typedef unsigned short prime_t; 62#else 63# define NUMPRIMES 54 64typedef unsigned char prime_t; 65#endif 66static const prime_t primes[NUMPRIMES] = { 67 2, 3, 5, 7, 11, 13, 17, 19, 68 23, 29, 31, 37, 41, 43, 47, 53, 69 59, 61, 67, 71, 73, 79, 83, 89, 70 97, 101, 103, 107, 109, 113, 127, 131, 71 137, 139, 149, 151, 157, 163, 167, 173, 72 179, 181, 191, 193, 197, 199, 211, 223, 73 227, 229, 233, 239, 241, 251, 74#ifndef EIGHT_BIT 75 257, 263, 76 269, 271, 277, 281, 283, 293, 307, 311, 77 313, 317, 331, 337, 347, 349, 353, 359, 78 367, 373, 379, 383, 389, 397, 401, 409, 79 419, 421, 431, 433, 439, 443, 449, 457, 80 461, 463, 467, 479, 487, 491, 499, 503, 81 509, 521, 523, 541, 547, 557, 563, 569, 82 571, 577, 587, 593, 599, 601, 607, 613, 83 617, 619, 631, 641, 643, 647, 653, 659, 84 661, 673, 677, 683, 691, 701, 709, 719, 85 727, 733, 739, 743, 751, 757, 761, 769, 86 773, 787, 797, 809, 811, 821, 823, 827, 87 829, 839, 853, 857, 859, 863, 877, 881, 88 883, 887, 907, 911, 919, 929, 937, 941, 89 947, 953, 967, 971, 977, 983, 991, 997, 90 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 91 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 92 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 93 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 94 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 95 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 96 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 97 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 98 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 99 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 100 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 101 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 102 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 103 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 104 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 105 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 106 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 107 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 108 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 109 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 110 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 111 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 112 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 113 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 114 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 115 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 116 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 117 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 118 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 119 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 120 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 121 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 122 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 123 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 124 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 125 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 126 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 127 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 128 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 129 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 130 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 131 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 132 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 133 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 134 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 135 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 136 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 137 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 138 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 139 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 140 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 141 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 142 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 143 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 144 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 145 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 146 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 147 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 148 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 149 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 150 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 151 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 152 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 153 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 154 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 155 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 156 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 157 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 158 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 159 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 160 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 161 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 162 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 163 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 164 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 165 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 166 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 167 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 168 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 169 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 170 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 171 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 172 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 173 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 174 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 175 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 176 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 177 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 178 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 179 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 180 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 181 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 182 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 183 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 184 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 185 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 186 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 187 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 188 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 189 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 190 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 191 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 192 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 193 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 194 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 195 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 196 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 197 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 198 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 199 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 200 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 201 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 202 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 203 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 204 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 205 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 206 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 207 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 208 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 209 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 210 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 211 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 212 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 213 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 214 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 215 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 216 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 217 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 218 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 219 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 220 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 221 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 222 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, 223 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 224 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 225 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, 226 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 227 10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, 228 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 229 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 230 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 231 10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, 232 10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, 233 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 234 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 235 10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, 236 11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, 237 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 238 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 239 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 240 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 241 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 242 11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551, 243 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 244 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 245 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 246 11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887, 247 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 248 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 249 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 250 12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161, 251 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 252 12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 253 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 254 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 255 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 256 12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 257 12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, 258 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 259 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 260 12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, 261 12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, 262 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 263 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 264 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 265 13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, 266 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 267 13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 268 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 269 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 270 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 271 13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, 272 13729, 13751, 13757, 13759, 13763, 13781, 13789, 13799, 273 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 274 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 275 13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033, 276 14051, 14057, 14071, 14081, 14083, 14087, 14107, 14143, 277 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 278 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 279 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 280 14411, 14419, 14423, 14431, 14437, 14447, 14449, 14461, 281 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 282 14551, 14557, 14561, 14563, 14591, 14593, 14621, 14627, 283 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 284 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 285 14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 286 14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887, 287 14891, 14897, 14923, 14929, 14939, 14947, 14951, 14957, 288 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 289 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 290 15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217, 291 15227, 15233, 15241, 15259, 15263, 15269, 15271, 15277, 292 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 293 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, 294 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 295 15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, 296 15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 297 15647, 15649, 15661, 15667, 15671, 15679, 15683, 15727, 298 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 299 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 300 15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919, 301 15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007, 302 16033, 16057, 16061, 16063, 16067, 16069, 16073, 16087, 303 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 304 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 305 16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349, 306 16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, 307 16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 308 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, 309 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 310 16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747, 311 16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843, 312 16871, 16879, 16883, 16889, 16901, 16903, 16921, 16927, 313 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, 314 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 315 17077, 17093, 17099, 17107, 17117, 17123, 17137, 17159, 316 17167, 17183, 17189, 17191, 17203, 17207, 17209, 17231, 317 17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327, 318 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 319 17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 320 17471, 17477, 17483, 17489, 17491, 17497, 17509, 17519, 321 17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599, 322 17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683, 323 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, 324 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 325#endif 326}; 327