1: /*      $NetBSD: pr_tbl.c,v 1.7 2003/08/07 09:37:33 agc Exp $        */
    2: 
    3: /*
    4:  * Copyright (c) 1989, 1993
    5:  *      The Regents of the University of California.  All rights reserved.
    6:  *
    7:  * This code is derived from software contributed to Berkeley by
    8:  * Landon Curt Noll.
    9:  *
   10:  * Redistribution and use in source and binary forms, with or without
   11:  * modification, are permitted provided that the following conditions
   12:  * are met:
   13:  * 1. Redistributions of source code must retain the above copyright
   14:  *    notice, this list of conditions and the following disclaimer.
   15:  * 2. Redistributions in binary form must reproduce the above copyright
   16:  *    notice, this list of conditions and the following disclaimer in the
   17:  *    documentation and/or other materials provided with the distribution.
   18:  * 3. Neither the name of the University nor the names of its contributors
   19:  *    may be used to endorse or promote products derived from this software
   20:  *    without specific prior written permission.
   21:  *
   22:  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
   23:  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
   24:  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
   25:  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
   26:  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
   27:  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
   28:  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
   29:  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
   30:  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
   31:  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
   32:  * SUCH DAMAGE.
   33:  */
   34: 
   35: #include <sys/cdefs.h>
   36: #ifndef lint
   37: #if 0
   38: static char sccsid[] = "@(#)pr_tbl.c    8.1 (Berkeley) 5/31/93";
   39: #else
   40: __RCSID("$NetBSD: pr_tbl.c,v 1.7 2003/08/07 09:37:33 agc Exp $");
   41: #endif
   42: #endif /* not lint */
   43: 
   44: /*
   45:  * prime - prime table
   46:  *
   47:  * By: Landon Curt Noll   chongo@toad.com,   ...!{sun,tolsoft}!hoptoad!chongo
   48:  *
   49:  *   chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
   50:  *
   51:  * We are able to sieve 2^32-1 because this table has primes up to 65537 
   52:  * and 65537^2 > 2^32-1.
   53:  */
   54: 
   55: #include "primes.h"
   56: 
   57: const ubig prime[] = {
   58: 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,
   59: 107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,
   60: 211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,
   61: 317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,
   62: 439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,
   63: 569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,
   64: 677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,
   65: 821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,
   66: 947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,
   67: 1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,
   68: 1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,
   69: 1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,
   70: 1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,
   71: 1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,
   72: 1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,
   73: 1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,
   74: 1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,
   75: 1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,
   76: 2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,
   77: 2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,
   78: 2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,
   79: 2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,
   80: 2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,
   81: 2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,
   82: 2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,
   83: 2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,
   84: 3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,
   85: 3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,
   86: 3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,
   87: 3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,
   88: 3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,
   89: 3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,
   90: 3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,
   91: 3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,
   92: 4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,
   93: 4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,
   94: 4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,
   95: 4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,
   96: 4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,
   97: 4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,
   98: 4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,
   99: 4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,
  100: 5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,
  101: 5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,
  102: 5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,
  103: 5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,
  104: 5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,
  105: 5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,
  106: 5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,
  107: 5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,
  108: 6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,
  109: 6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,
  110: 6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,
  111: 6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,
  112: 6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,
  113: 6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,
  114: 6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,
  115: 6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,
  116: 7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,
  117: 7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,
  118: 7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,
  119: 7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,
  120: 7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,
  121: 7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,
  122: 7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,
  123: 8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,
  124: 8233,8237,8243,8263,8269,8273,8287,8291,8293,8297,8311,8317,8329,8353,8363,
  125: 8369,8377,8387,8389,8419,8423,8429,8431,8443,8447,8461,8467,8501,8513,8521,
  126: 8527,8537,8539,8543,8563,8573,8581,8597,8599,8609,8623,8627,8629,8641,8647,
  127: 8663,8669,8677,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,8753,
  128: 8761,8779,8783,8803,8807,8819,8821,8831,8837,8839,8849,8861,8863,8867,8887,
  129: 8893,8923,8929,8933,8941,8951,8963,8969,8971,8999,9001,9007,9011,9013,9029,
  130: 9041,9043,9049,9059,9067,9091,9103,9109,9127,9133,9137,9151,9157,9161,9173,
  131: 9181,9187,9199,9203,9209,9221,9227,9239,9241,9257,9277,9281,9283,9293,9311,
  132: 9319,9323,9337,9341,9343,9349,9371,9377,9391,9397,9403,9413,9419,9421,9431,
  133: 9433,9437,9439,9461,9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,9547,
  134: 9551,9587,9601,9613,9619,9623,9629,9631,9643,9649,9661,9677,9679,9689,9697,
  135: 9719,9721,9733,9739,9743,9749,9767,9769,9781,9787,9791,9803,9811,9817,9829,
  136: 9833,9839,9851,9857,9859,9871,9883,9887,9901,9907,9923,9929,9931,9941,9949,
  137: 9967,9973,10007,10009,10037,10039,10061,10067,10069,10079,10091,10093,10099,
  138: 10103,10111,10133,10139,10141,10151,10159,10163,10169,10177,10181,10193,10211,
  139: 10223,10243,10247,10253,10259,10267,10271,10273,10289,10301,10303,10313,10321,
  140: 10331,10333,10337,10343,10357,10369,10391,10399,10427,10429,10433,10453,10457,
  141: 10459,10463,10477,10487,10499,10501,10513,10529,10531,10559,10567,10589,10597,
  142: 10601,10607,10613,10627,10631,10639,10651,10657,10663,10667,10687,10691,10709,
  143: 10711,10723,10729,10733,10739,10753,10771,10781,10789,10799,10831,10837,10847,
  144: 10853,10859,10861,10867,10883,10889,10891,10903,10909,10937,10939,10949,10957,
  145: 10973,10979,10987,10993,11003,11027,11047,11057,11059,11069,11071,11083,11087,
  146: 11093,11113,11117,11119,11131,11149,11159,11161,11171,11173,11177,11197,11213,
  147: 11239,11243,11251,11257,11261,11273,11279,11287,11299,11311,11317,11321,11329,
  148: 11351,11353,11369,11383,11393,11399,11411,11423,11437,11443,11447,11467,11471,
  149: 11483,11489,11491,11497,11503,11519,11527,11549,11551,11579,11587,11593,11597,
  150: 11617,11621,11633,11657,11677,11681,11689,11699,11701,11717,11719,11731,11743,
  151: 11777,11779,11783,11789,11801,11807,11813,11821,11827,11831,11833,11839,11863,
  152: 11867,11887,11897,11903,11909,11923,11927,11933,11939,11941,11953,11959,11969,
  153: 11971,11981,11987,12007,12011,12037,12041,12043,12049,12071,12073,12097,12101,
  154: 12107,12109,12113,12119,12143,12149,12157,12161,12163,12197,12203,12211,12227,
  155: 12239,12241,12251,12253,12263,12269,12277,12281,12289,12301,12323,12329,12343,
  156: 12347,12373,12377,12379,12391,12401,12409,12413,12421,12433,12437,12451,12457,
  157: 12473,12479,12487,12491,12497,12503,12511,12517,12527,12539,12541,12547,12553,
  158: 12569,12577,12583,12589,12601,12611,12613,12619,12637,12641,12647,12653,12659,
  159: 12671,12689,12697,12703,12713,12721,12739,12743,12757,12763,12781,12791,12799,
  160: 12809,12821,12823,12829,12841,12853,12889,12893,12899,12907,12911,12917,12919,
  161: 12923,12941,12953,12959,12967,12973,12979,12983,13001,13003,13007,13009,13033,
  162: 13037,13043,13049,13063,13093,13099,13103,13109,13121,13127,13147,13151,13159,
  163: 13163,13171,13177,13183,13187,13217,13219,13229,13241,13249,13259,13267,13291,
  164: 13297,13309,13313,13327,13331,13337,13339,13367,13381,13397,13399,13411,13417,
  165: 13421,13441,13451,13457,13463,13469,13477,13487,13499,13513,13523,13537,13553,
  166: 13567,13577,13591,13597,13613,13619,13627,13633,13649,13669,13679,13681,13687,
  167: 13691,13693,13697,13709,13711,13721,13723,13729,13751,13757,13759,13763,13781,
  168: 13789,13799,13807,13829,13831,13841,13859,13873,13877,13879,13883,13901,13903,
  169: 13907,13913,13921,13931,13933,13963,13967,13997,13999,14009,14011,14029,14033,
  170: 14051,14057,14071,14081,14083,14087,14107,14143,14149,14153,14159,14173,14177,
  171: 14197,14207,14221,14243,14249,14251,14281,14293,14303,14321,14323,14327,14341,
  172: 14347,14369,14387,14389,14401,14407,14411,14419,14423,14431,14437,14447,14449,
  173: 14461,14479,14489,14503,14519,14533,14537,14543,14549,14551,14557,14561,14563,
  174: 14591,14593,14621,14627,14629,14633,14639,14653,14657,14669,14683,14699,14713,
  175: 14717,14723,14731,14737,14741,14747,14753,14759,14767,14771,14779,14783,14797,
  176: 14813,14821,14827,14831,14843,14851,14867,14869,14879,14887,14891,14897,14923,
  177: 14929,14939,14947,14951,14957,14969,14983,15013,15017,15031,15053,15061,15073,
  178: 15077,15083,15091,15101,15107,15121,15131,15137,15139,15149,15161,15173,15187,
  179: 15193,15199,15217,15227,15233,15241,15259,15263,15269,15271,15277,15287,15289,
  180: 15299,15307,15313,15319,15329,15331,15349,15359,15361,15373,15377,15383,15391,
  181: 15401,15413,15427,15439,15443,15451,15461,15467,15473,15493,15497,15511,15527,
  182: 15541,15551,15559,15569,15581,15583,15601,15607,15619,15629,15641,15643,15647,
  183: 15649,15661,15667,15671,15679,15683,15727,15731,15733,15737,15739,15749,15761,
  184: 15767,15773,15787,15791,15797,15803,15809,15817,15823,15859,15877,15881,15887,
  185: 15889,15901,15907,15913,15919,15923,15937,15959,15971,15973,15991,16001,16007,
  186: 16033,16057,16061,16063,16067,16069,16073,16087,16091,16097,16103,16111,16127,
  187: 16139,16141,16183,16187,16189,16193,16217,16223,16229,16231,16249,16253,16267,
  188: 16273,16301,16319,16333,16339,16349,16361,16363,16369,16381,16411,16417,16421,
  189: 16427,16433,16447,16451,16453,16477,16481,16487,16493,16519,16529,16547,16553,
  190: 16561,16567,16573,16603,16607,16619,16631,16633,16649,16651,16657,16661,16673,
  191: 16691,16693,16699,16703,16729,16741,16747,16759,16763,16787,16811,16823,16829,
  192: 16831,16843,16871,16879,16883,16889,16901,16903,16921,16927,16931,16937,16943,
  193: 16963,16979,16981,16987,16993,17011,17021,17027,17029,17033,17041,17047,17053,
  194: 17077,17093,17099,17107,17117,17123,17137,17159,17167,17183,17189,17191,17203,
  195: 17207,17209,17231,17239,17257,17291,17293,17299,17317,17321,17327,17333,17341,
  196: 17351,17359,17377,17383,17387,17389,17393,17401,17417,17419,17431,17443,17449,
  197: 17467,17471,17477,17483,17489,17491,17497,17509,17519,17539,17551,17569,17573,
  198: 17579,17581,17597,17599,17609,17623,17627,17657,17659,17669,17681,17683,17707,
  199: 17713,17729,17737,17747,17749,17761,17783,17789,17791,17807,17827,17837,17839,
  200: 17851,17863,17881,17891,17903,17909,17911,17921,17923,17929,17939,17957,17959,
  201: 17971,17977,17981,17987,17989,18013,18041,18043,18047,18049,18059,18061,18077,
  202: 18089,18097,18119,18121,18127,18131,18133,18143,18149,18169,18181,18191,18199,
  203: 18211,18217,18223,18229,18233,18251,18253,18257,18269,18287,18289,18301,18307,
  204: 18311,18313,18329,18341,18353,18367,18371,18379,18397,18401,18413,18427,18433,
  205: 18439,18443,18451,18457,18461,18481,18493,18503,18517,18521,18523,18539,18541,
  206: 18553,18583,18587,18593,18617,18637,18661,18671,18679,18691,18701,18713,18719,
  207: 18731,18743,18749,18757,18773,18787,18793,18797,18803,18839,18859,18869,18899,
  208: 18911,18913,18917,18919,18947,18959,18973,18979,19001,19009,19013,19031,19037,
  209: 19051,19069,19073,19079,19081,19087,19121,19139,19141,19157,19163,19181,19183,
  210: 19207,19211,19213,19219,19231,19237,19249,19259,19267,19273,19289,19301,19309,
  211: 19319,19333,19373,19379,19381,19387,19391,19403,19417,19421,19423,19427,19429,
  212: 19433,19441,19447,19457,19463,19469,19471,19477,19483,19489,19501,19507,19531,
  213: 19541,19543,19553,19559,19571,19577,19583,19597,19603,19609,19661,19681,19687,
  214: 19697,19699,19709,19717,19727,19739,19751,19753,19759,19763,19777,19793,19801,
  215: 19813,19819,19841,19843,19853,19861,19867,19889,19891,19913,19919,19927,19937,
  216: 19949,19961,19963,19973,19979,19991,19993,19997,20011,20021,20023,20029,20047,
  217: 20051,20063,20071,20089,20101,20107,20113,20117,20123,20129,20143,20147,20149,
  218: 20161,20173,20177,20183,20201,20219,20231,20233,20249,20261,20269,20287,20297,
  219: 20323,20327,20333,20341,20347,20353,20357,20359,20369,20389,20393,20399,20407,
  220: 20411,20431,20441,20443,20477,20479,20483,20507,20509,20521,20533,20543,20549,
  221: 20551,20563,20593,20599,20611,20627,20639,20641,20663,20681,20693,20707,20717,
  222: 20719,20731,20743,20747,20749,20753,20759,20771,20773,20789,20807,20809,20849,
  223: 20857,20873,20879,20887,20897,20899,20903,20921,20929,20939,20947,20959,20963,
  224: 20981,20983,21001,21011,21013,21017,21019,21023,21031,21059,21061,21067,21089,
  225: 21101,21107,21121,21139,21143,21149,21157,21163,21169,21179,21187,21191,21193,
  226: 21211,21221,21227,21247,21269,21277,21283,21313,21317,21319,21323,21341,21347,
  227: 21377,21379,21383,21391,21397,21401,21407,21419,21433,21467,21481,21487,21491,
  228: 21493,21499,21503,21517,21521,21523,21529,21557,21559,21563,21569,21577,21587,
  229: 21589,21599,21601,21611,21613,21617,21647,21649,21661,21673,21683,21701,21713,
  230: 21727,21737,21739,21751,21757,21767,21773,21787,21799,21803,21817,21821,21839,
  231: 21841,21851,21859,21863,21871,21881,21893,21911,21929,21937,21943,21961,21977,
  232: 21991,21997,22003,22013,22027,22031,22037,22039,22051,22063,22067,22073,22079,
  233: 22091,22093,22109,22111,22123,22129,22133,22147,22153,22157,22159,22171,22189,
  234: 22193,22229,22247,22259,22271,22273,22277,22279,22283,22291,22303,22307,22343,
  235: 22349,22367,22369,22381,22391,22397,22409,22433,22441,22447,22453,22469,22481,
  236: 22483,22501,22511,22531,22541,22543,22549,22567,22571,22573,22613,22619,22621,
  237: 22637,22639,22643,22651,22669,22679,22691,22697,22699,22709,22717,22721,22727,
  238: 22739,22741,22751,22769,22777,22783,22787,22807,22811,22817,22853,22859,22861,
  239: 22871,22877,22901,22907,22921,22937,22943,22961,22963,22973,22993,23003,23011,
  240: 23017,23021,23027,23029,23039,23041,23053,23057,23059,23063,23071,23081,23087,
  241: 23099,23117,23131,23143,23159,23167,23173,23189,23197,23201,23203,23209,23227,
  242: 23251,23269,23279,23291,23293,23297,23311,23321,23327,23333,23339,23357,23369,
  243: 23371,23399,23417,23431,23447,23459,23473,23497,23509,23531,23537,23539,23549,
  244: 23557,23561,23563,23567,23581,23593,23599,23603,23609,23623,