_hash_prime.c

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/*
** Copyright (C) 2002 by Kevin L. Mitchell <klmitch@mit.edu>
**
** This library is free software; you can redistribute it and/or
** modify it under the terms of the GNU Library General Public
** License as published by the Free Software Foundation; either
** version 2 of the License, or (at your option) any later version.
**
** This library is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
** Library General Public License for more details.
**
** You should have received a copy of the GNU Library General Public
** License along with this library; if not, write to the Free
** Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
** MA 02111-1307, USA
**
** @(#)$Id: _hash_prime.c,v 1.3 2006/07/13 19:16:23 klmitch Exp $
*/
#include "dbprim.h"
#include "dbprim_int.h"

RCSTAG("@(#)$Id: _hash_prime.c,v 1.3 2006/07/13 19:16:23 klmitch Exp $");

#define MAX_PRIME       4294967291UL

static unsigned long primes[] = {
      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, 17881, 17891, 17903, 17909, 17911,
  17921, 17923, 17929, 17939, 17957, 17959, 17971, 17977, 17981,
  17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059, 18061,
  18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143,
  18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229,
  18233, 18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307,
  18311, 18313, 18329, 18341, 18353, 18367, 18371, 18379, 18397,
  18401, 18413, 18427, 18433, 18439, 18443, 18451, 18457, 18461,
  18481, 18493, 18503, 18517, 18521, 18523, 18539, 18541, 18553,
  18583, 18587, 18593, 18617, 18637, 18661, 18671, 18679, 18691,
  18701, 18713, 18719, 18731, 18743, 18749, 18757, 18773, 18787,
  18793, 18797, 18803, 18839, 18859, 18869, 18899, 18911, 18913,
  18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009, 19013,
  19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121,
  19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213,
  19219, 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301,
  19309, 19319, 19333, 19373, 19379, 19381, 19387, 19391, 19403,
  19417, 19421, 19423, 19427, 19429, 19433, 19441, 19447, 19457,
  19463, 19469, 19471, 19477, 19483, 19489, 19501, 19507, 19531,
  19541, 19543, 19553, 19559, 19571, 19577, 19583, 19597, 19603,
  19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717, 19727,
  19739, 19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813,
  19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891, 19913,
  19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991,
  19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063,
  20071, 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143,
  20147, 20149, 20161, 20173, 20177, 20183, 20201, 20219, 20231,
  20233, 20249, 20261, 20269, 20287, 20297, 20323, 20327, 20333,
  20341, 20347, 20353, 20357, 20359, 20369, 20389, 20393, 20399,
  20407, 20411, 20431, 20441, 20443, 20477, 20479, 20483, 20507,
  20509, 20521, 20533, 20543, 20549, 20551, 20563, 20593, 20599,
  20611, 20627, 20639, 20641, 20663, 20681, 20693, 20707, 20717,
  20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771, 20773,
  20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897,
  20899, 20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981,
  20983, 21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059,
  21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143, 21149,
  21157, 21163, 21169, 21179, 21187, 21191, 21193, 21211, 21221,
  21227, 21247, 21269, 21277, 21283, 21313, 21317, 21319, 21323,
  21341, 21347, 21377, 21379, 21383, 21391, 21397, 21401, 21407,
  21419, 21433, 21467, 21481, 21487, 21491, 21493, 21499, 21503,
  21517, 21521, 21523, 21529, 21557, 21559, 21563, 21569, 21577,
  21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647, 21649,
  21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751,
  21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839,
  21841, 21851, 21859, 21863, 21871, 21881, 21893, 21911, 21929,
  21937, 21943, 21961, 21977, 21991, 21997, 22003, 22013, 22027,
  22031, 22037, 22039, 22051, 22063, 22067, 22073, 22079, 22091,
  22093, 22109, 22111, 22123, 22129, 22133, 22147, 22153, 22157,
  22159, 22171, 22189, 22193, 22229, 22247, 22259, 22271, 22273,
  22277, 22279, 22283, 22291, 22303, 22307, 22343, 22349, 22367,
  22369, 22381, 22391, 22397, 22409, 22433, 22441, 22447, 22453,
  22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543, 22549,
  22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643,
  22651, 22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721,
  22727, 22739, 22741, 22751, 22769, 22777, 22783, 22787, 22807,
  22811, 22817, 22853, 22859, 22861, 22871, 22877, 22901, 22907,
  22921, 22937, 22943, 22961, 22963, 22973, 22993, 23003, 23011,
  23017, 23021, 23027, 23029, 23039, 23041, 23053, 23057, 23059,
  23063, 23071, 23081, 23087, 23099, 23117, 23131, 23143, 23159,
  23167, 23173, 23189, 23197, 23201, 23203, 23209, 23227, 23251,
  23269, 23279, 23291, 23293, 23297, 23311, 23321, 23327, 23333,
  23339, 23357, 23369, 23371, 23399, 23417, 23431, 23447, 23459,
  23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23561,
  23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627,
  23629, 23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719,
  23741, 23743, 23747, 23753, 23761, 23767, 23773, 23789, 23801,
  23813, 23819, 23827, 23831, 23833, 23857, 23869, 23873, 23879,
  23887, 23893, 23899, 23909, 23911, 23917, 23929, 23957, 23971,
  23977, 23981, 23993, 24001, 24007, 24019, 24023, 24029, 24043,
  24049, 24061, 24071, 24077, 24083, 24091, 24097, 24103, 24107,
  24109, 24113, 24121, 24133, 24137, 24151, 24169, 24179, 24181,
  24197, 24203, 24223, 24229, 24239, 24247, 24251, 24281, 24317,
  24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413,
  24419, 24421, 24439, 24443, 24469, 24473, 24481, 24499, 24509,
  24517, 24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623,
  24631, 24659, 24671, 24677, 24683, 24691, 24697, 24709, 24733,
  24749, 24763, 24767, 24781, 24793, 24799, 24809, 24821, 24841,
  24847, 24851, 24859, 24877, 24889, 24907, 24917, 24919, 24923,
  24943, 24953, 24967, 24971, 24977, 24979, 24989, 25013, 25031,
  25033, 25037, 25057, 25073, 25087, 25097, 25111, 25117, 25121,
  25127, 25147, 25153, 25163, 25169, 25171, 25183, 25189, 25219,
  25229, 25237, 25243, 25247, 25253, 25261, 25301, 25303, 25307,
  25309, 25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391,
  25409, 25411, 25423, 25439, 25447, 25453, 25457, 25463, 25469,
  25471, 25523, 25537, 25541, 25561, 25577, 25579, 25583, 25589,
  25601, 25603, 25609, 25621, 25633, 25639, 25643, 25657, 25667,
  25673, 25679, 25693, 25703, 25717, 25733, 25741, 25747, 25759,
  25763, 25771, 25793, 25799, 25801, 25819, 25841, 25847, 25849,
  25867, 25873, 25889, 25903, 25913, 25919, 25931, 25933, 25939,
  25943, 25951, 25969, 25981, 25997, 25999, 26003, 26017, 26021,
  26029, 26041, 26053, 26083, 26099, 26107, 26111, 26113, 26119,
  26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203, 26209,
  26227, 26237, 26249, 26251, 26261, 26263, 26267, 26293, 26297,
  26309, 26317, 26321, 26339, 26347, 26357, 26371, 26387, 26393,
  26399, 26407, 26417, 26423, 26431, 26437, 26449, 26459, 26479,
  26489, 26497, 26501, 26513, 26539, 26557, 26561, 26573, 26591,
  26597, 26627, 26633, 26641, 26647, 26669, 26681, 26683, 26687,
  26693, 26699, 26701, 26711, 26713, 26717, 26723, 26729, 26731,
  26737, 26759, 26777, 26783, 26801, 26813, 26821, 26833, 26839,
  26849, 26861, 26863, 26879, 26881, 26891, 26893, 26903, 26921,
  26927, 26947, 26951, 26953, 26959, 26981, 26987, 26993, 27011,
  27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077, 27091,
  27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211,
  27239, 27241, 27253, 27259, 27271, 27277, 27281, 27283, 27299,
  27329, 27337, 27361, 27367, 27397, 27407, 27409, 27427, 27431,
  27437, 27449, 27457, 27479, 27481, 27487, 27509, 27527, 27529,
  27539, 27541, 27551, 27581, 27583, 27611, 27617, 27631, 27647,
  27653, 27673, 27689, 27691, 27697, 27701, 27733, 27737, 27739,
  27743, 27749, 27751, 27763, 27767, 27773, 27779, 27791, 27793,
  27799, 27803, 27809, 27817, 27823, 27827, 27847, 27851, 27883,
  27893, 27901, 27917, 27919, 27941, 27943, 27947, 27953, 27961,
  27967, 27983, 27997, 28001, 28019, 28027, 28031, 28051, 28057,
  28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151,
  28163, 28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279,
  28283, 28289, 28297, 28307, 28309, 28319, 28349, 28351, 28387,
  28393, 28403, 28409, 28411, 28429, 28433, 28439, 28447, 28463,
  28477, 28493, 28499, 28513, 28517, 28537, 28541, 28547, 28549,
  28559, 28571, 28573, 28579, 28591, 28597, 28603, 28607, 28619,
  28621, 28627, 28631, 28643, 28649, 28657, 28661, 28663, 28669,
  28687, 28697, 28703, 28711, 28723, 28729, 28751, 28753, 28759,
  28771, 28789, 28793, 28807, 28813, 28817, 28837, 28843, 28859,
  28867, 28871, 28879, 28901, 28909, 28921, 28927, 28933, 28949,
  28961, 28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059,
  29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153,
  29167, 29173, 29179, 29191, 29201, 29207, 29209, 29221, 29231,
  29243, 29251, 29269, 29287, 29297, 29303, 29311, 29327, 29333,
  29339, 29347, 29363, 29383, 29387, 29389, 29399, 29401, 29411,
  29423, 29429, 29437, 29443, 29453, 29473, 29483, 29501, 29527,
  29531, 29537, 29567, 29569, 29573, 29581, 29587, 29599, 29611,
  29629, 29633, 29641, 29663, 29669, 29671, 29683, 29717, 29723,
  29741, 29753, 29759, 29761, 29789, 29803, 29819, 29833, 29837,
  29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921, 29927,
  29947, 29959, 29983, 29989, 30011, 30013, 30029, 30047, 30059,
  30071, 30089, 30091, 30097, 30103, 30109, 30113, 30119, 30133,
  30137, 30139, 30161, 30169, 30181, 30187, 30197, 30203, 30211,
  30223, 30241, 30253, 30259, 30269, 30271, 30293, 30307, 30313,
  30319, 30323, 30341, 30347, 30367, 30389, 30391, 30403, 30427,
  30431, 30449, 30467, 30469, 30491, 30493, 30497, 30509, 30517,
  30529, 30539, 30553, 30557, 30559, 30577, 30593, 30631, 30637,
  30643, 30649, 30661, 30671, 30677, 30689, 30697, 30703, 30707,
  30713, 30727, 30757, 30763, 30773, 30781, 30803, 30809, 30817,
  30829, 30839, 30841, 30851, 30853, 30859, 30869, 30871, 30881,
  30893, 30911, 30931, 30937, 30941, 30949, 30971, 30977, 30983,
  31013, 31019, 31033, 31039, 31051, 31063, 31069, 31079, 31081,
  31091, 31121, 31123, 31139, 31147, 31151, 31153, 31159, 31177,
  31181, 31183, 31189, 31193, 31219, 31223, 31231, 31237, 31247,
  31249, 31253, 31259, 31267, 31271, 31277, 31307, 31319, 31321,
  31327, 31333, 31337, 31357, 31379, 31387, 31391, 31393, 31397,
  31469, 31477, 31481, 31489, 31511, 31513, 31517, 31531, 31541,
  31543, 31547, 31567, 31573, 31583, 31601, 31607, 31627, 31643,
  31649, 31657, 31663, 31667, 31687, 31699, 31721, 31723, 31727,
  31729, 31741, 31751, 31769, 31771, 31793, 31799, 31817, 31847,
  31849, 31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973,
  31981, 31991, 32003, 32009, 32027, 32029, 32051, 32057, 32059,
  32063, 32069, 32077, 32083, 32089, 32099, 32117, 32119, 32141,
  32143, 32159, 32173, 32183, 32189, 32191, 32203, 32213, 32233,
  32237, 32251, 32257, 32261, 32297, 32299, 32303, 32309, 32321,
  32323, 32327, 32341, 32353, 32359, 32363, 32369, 32371, 32377,
  32381, 32401, 32411, 32413, 32423, 32429, 32441, 32443, 32467,
  32479, 32491, 32497, 32503, 32507, 32531, 32533, 32537, 32561,
  32563, 32569, 32573, 32579, 32587, 32603, 32609, 32611, 32621,
  32633, 32647, 32653, 32687, 32693, 32707, 32713, 32717, 32719,
  32749, 32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831,
  32833, 32839, 32843, 32869, 32887, 32909, 32911, 32917, 32933,
  32939, 32941, 32957, 32969, 32971, 32983, 32987, 32993, 32999,
  33013, 33023, 33029, 33037, 33049, 33053, 33071, 33073, 33083,
  33091, 33107, 33113, 33119, 33149, 33151, 33161, 33179, 33181,
  33191, 33199, 33203, 33211, 33223, 33247, 33287, 33289, 33301,
  33311, 33317, 33329, 33331, 33343, 33347, 33349, 33353, 33359,
  33377, 33391, 33403, 33409, 33413, 33427, 33457, 33461, 33469,
  33479, 33487, 33493, 33503, 33521, 33529, 33533, 33547, 33563,
  33569, 33577, 33581, 33587, 33589, 33599, 33601, 33613, 33617,
  33619, 33623, 33629, 33637, 33641, 33647, 33679, 33703, 33713,
  33721, 33739, 33749, 33751, 33757, 33767, 33769, 33773, 33791,
  33797, 33809, 33811, 33827, 33829, 33851, 33857, 33863, 33871,
  33889, 33893, 33911, 33923, 33931, 33937, 33941, 33961, 33967,
  33997, 34019, 34031, 34033, 34039, 34057, 34061, 34123, 34127,
  34129, 34141, 34147, 34157, 34159, 34171, 34183, 34211, 34213,
  34217, 34231, 34253, 34259, 34261, 34267, 34273, 34283, 34297,
  34301, 34303, 34313, 34319, 34327, 34337, 34351, 34361, 34367,
  34369, 34381, 34403, 34421, 34429, 34439, 34457, 34469, 34471,
  34483, 34487, 34499, 34501, 34511, 34513, 34519, 34537, 34543,
  34549, 34583, 34589, 34591, 34603, 34607, 34613, 34631, 34649,
  34651, 34667, 34673, 34679, 34687, 34693, 34703, 34721, 34729,
  34739, 34747, 34757, 34759, 34763, 34781, 34807, 34819, 34841,
  34843, 34847, 34849, 34871, 34877, 34883, 34897, 34913, 34919,
  34939, 34949, 34961, 34963, 34981, 35023, 35027, 35051, 35053,
  35059, 35069, 35081, 35083, 35089, 35099, 35107, 35111, 35117,
  35129, 35141, 35149, 35153, 35159, 35171, 35201, 35221, 35227,
  35251, 35257, 35267, 35279, 35281, 35291, 35311, 35317, 35323,
  35327, 35339, 35353, 35363, 35381, 35393, 35401, 35407, 35419,
  35423, 35437, 35447, 35449, 35461, 35491, 35507, 35509, 35521,
  35527, 35531, 35533, 35537, 35543, 35569, 35573, 35591, 35593,
  35597, 35603, 35617, 35671, 35677, 35729, 35731, 35747, 35753,
  35759, 35771, 35797, 35801, 35803, 35809, 35831, 35837, 35839,
  35851, 35863, 35869, 35879, 35897, 35899, 35911, 35923, 35933,
  35951, 35963, 35969, 35977, 35983, 35993, 35999, 36007, 36011,
  36013, 36017, 36037, 36061, 36067, 36073, 36083, 36097, 36107,
  36109, 36131, 36137, 36151, 36161, 36187, 36191, 36209, 36217,
  36229, 36241, 36251, 36263, 36269, 36277, 36293, 36299, 36307,
  36313, 36319, 36341, 36343, 36353, 36373, 36383, 36389, 36433,
  36451, 36457, 36467, 36469, 36473, 36479, 36493, 36497, 36523,
  36527, 36529, 36541, 36551, 36559, 36563, 36571, 36583, 36587,
  36599, 36607, 36629, 36637, 36643, 36653, 36671, 36677, 36683,
  36691, 36697, 36709, 36713, 36721, 36739, 36749, 36761, 36767,
  36779, 36781, 36787, 36791, 36793, 36809, 36821, 36833, 36847,
  36857, 36871, 36877, 36887, 36899, 36901, 36913, 36919, 36923,
  36929, 36931, 36943, 36947, 36973, 36979, 36997, 37003, 37013,
  37019, 37021, 37039, 37049, 37057, 37061, 37087, 37097, 37117,
  37123, 37139, 37159, 37171, 37181, 37189, 37199, 37201, 37217,
  37223, 37243, 37253, 37273, 37277, 37307, 37309, 37313, 37321,
  37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397, 37409,
  37423, 37441, 37447, 37463, 37483, 37489, 37493, 37501, 37507,
  37511, 37517, 37529, 37537, 37547, 37549, 37561, 37567, 37571,
  37573, 37579, 37589, 37591, 37607, 37619, 37633, 37643, 37649,
  37657, 37663, 37691, 37693, 37699, 37717, 37747, 37781, 37783,
  37799, 37811, 37813, 37831, 37847, 37853, 37861, 37871, 37879,
  37889, 37897, 37907, 37951, 37957, 37963, 37967, 37987, 37991,
  37993, 37997, 38011, 38039, 38047, 38053, 38069, 38083, 38113,
  38119, 38149, 38153, 38167, 38177, 38183, 38189, 38197, 38201,
  38219, 38231, 38237, 38239, 38261, 38273, 38281, 38287, 38299,
  38303, 38317, 38321, 38327, 38329, 38333, 38351, 38371, 38377,
  38393, 38431, 38447, 38449, 38453, 38459, 38461, 38501, 38543,
  38557, 38561, 38567, 38569, 38593, 38603, 38609, 38611, 38629,
  38639, 38651, 38653, 38669, 38671, 38677, 38693, 38699, 38707,
  38711, 38713, 38723, 38729, 38737, 38747, 38749, 38767, 38783,
  38791, 38803, 38821, 38833, 38839, 38851, 38861, 38867, 38873,
  38891, 38903, 38917, 38921, 38923, 38933, 38953, 38959, 38971,
  38977, 38993, 39019, 39023, 39041, 39043, 39047, 39079, 39089,
  39097, 39103, 39107, 39113, 39119, 39133, 39139, 39157, 39161,
  39163, 39181, 39191, 39199, 39209, 39217, 39227, 39229, 39233,
  39239, 39241, 39251, 39293, 39301, 39313, 39317, 39323, 39341,
  39343, 39359, 39367, 39371, 39373, 39383, 39397, 39409, 39419,
  39439, 39443, 39451, 39461, 39499, 39503, 39509, 39511, 39521,
  39541, 39551, 39563, 39569, 39581, 39607, 39619, 39623, 39631,
  39659, 39667, 39671, 39679, 39703, 39709, 39719, 39727, 39733,
  39749, 39761, 39769, 39779, 39791, 39799, 39821, 39827, 39829,
  39839, 39841, 39847, 39857, 39863, 39869, 39877, 39883, 39887,
  39901, 39929, 39937, 39953, 39971, 39979, 39983, 39989, 40009,
  40013, 40031, 40037, 40039, 40063, 40087, 40093, 40099, 40111,
  40123, 40127, 40129, 40151, 40153, 40163, 40169, 40177, 40189,
  40193, 40213, 40231, 40237, 40241, 40253, 40277, 40283, 40289,
  40343, 40351, 40357, 40361, 40387, 40423, 40427, 40429, 40433,
  40459, 40471, 40483, 40487, 40493, 40499, 40507, 40519, 40529,
  40531, 40543, 40559, 40577, 40583, 40591, 40597, 40609, 40627,
  40637, 40639, 40693, 40697, 40699, 40709, 40739, 40751, 40759,
  40763, 40771, 40787, 40801, 40813, 40819, 40823, 40829, 40841,
  40847, 40849, 40853, 40867, 40879, 40883, 40897, 40903, 40927,
  40933, 40939, 40949, 40961, 40973, 40993, 41011, 41017, 41023,
  41039, 41047, 41051, 41057, 41077, 41081, 41113, 41117, 41131,
  41141, 41143, 41149, 41161, 41177, 41179, 41183, 41189, 41201,
  41203, 41213, 41221, 41227, 41231, 41233, 41243, 41257, 41263,
  41269, 41281, 41299, 41333, 41341, 41351, 41357, 41381, 41387,
  41389, 41399, 41411, 41413, 41443, 41453, 41467, 41479, 41491,
  41507, 41513, 41519, 41521, 41539, 41543, 41549, 41579, 41593,
  41597, 41603, 41609, 41611, 41617, 41621, 41627, 41641, 41647,
  41651, 41659, 41669, 41681, 41687, 41719, 41729, 41737, 41759,
  41761, 41771, 41777, 41801, 41809, 41813, 41843, 41849, 41851,
  41863, 41879, 41887, 41893, 41897, 41903, 41911, 41927, 41941,
  41947, 41953, 41957, 41959, 41969, 41981, 41983, 41999, 42013,
  42017, 42019, 42023, 42043, 42061, 42071, 42073, 42083, 42089,
  42101, 42131, 42139, 42157, 42169, 42179, 42181, 42187, 42193,
  42197, 42209, 42221, 42223, 42227, 42239, 42257, 42281, 42283,
  42293, 42299, 42307, 42323, 42331, 42337, 42349, 42359, 42373,
  42379, 42391, 42397, 42403, 42407, 42409, 42433, 42437, 42443,
  42451, 42457, 42461, 42463, 42467, 42473, 42487, 42491, 42499,
  42509, 42533, 42557, 42569, 42571, 42577, 42589, 42611, 42641,
  42643, 42649, 42667, 42677, 42683, 42689, 42697, 42701, 42703,
  42709, 42719, 42727, 42737, 42743, 42751, 42767, 42773, 42787,
  42793, 42797, 42821, 42829, 42839, 42841, 42853, 42859, 42863,
  42899, 42901, 42923, 42929, 42937, 42943, 42953, 42961, 42967,
  42979, 42989, 43003, 43013, 43019, 43037, 43049, 43051, 43063,
  43067, 43093, 43103, 43117, 43133, 43151, 43159, 43177, 43189,
  43201, 43207, 43223, 43237, 43261, 43271, 43283, 43291, 43313,
  43319, 43321, 43331, 43391, 43397, 43399, 43403, 43411, 43427,
  43441, 43451, 43457, 43481, 43487, 43499, 43517, 43541, 43543,
  43573, 43577, 43579, 43591, 43597, 43607, 43609, 43613, 43627,
  43633, 43649, 43651, 43661, 43669, 43691, 43711, 43717, 43721,
  43753, 43759, 43777, 43781, 43783, 43787, 43789, 43793, 43801,
  43853, 43867, 43889, 43891, 43913, 43933, 43943, 43951, 43961,
  43963, 43969, 43973, 43987, 43991, 43997, 44017, 44021, 44027,
  44029, 44041, 44053, 44059, 44071, 44087, 44089, 44101, 44111,
  44119, 44123, 44129, 44131, 44159, 44171, 44179, 44189, 44201,
  44203, 44207, 44221, 44249, 44257, 44263, 44267, 44269, 44273,
  44279, 44281, 44293, 44351, 44357, 44371, 44381, 44383, 44389,
  44417, 44449, 44453, 44483, 44491, 44497, 44501, 44507, 44519,
  44531, 44533, 44537, 44543, 44549, 44563, 44579, 44587, 44617,
  44621, 44623, 44633, 44641, 44647, 44651, 44657, 44683, 44687,
  44699, 44701, 44711, 44729, 44741, 44753, 44771, 44773, 44777,
  44789, 44797, 44809, 44819, 44839, 44843, 44851, 44867, 44879,
  44887, 44893, 44909, 44917, 44927, 44939, 44953, 44959, 44963,
  44971, 44983, 44987, 45007, 45013, 45053, 45061, 45077, 45083,
  45119, 45121, 45127, 45131, 45137, 45139, 45161, 45179, 45181,
  45191, 45197, 45233, 45247, 45259, 45263, 45281, 45289, 45293,
  45307, 45317, 45319, 45329, 45337, 45341, 45343, 45361, 45377,
  45389, 45403, 45413, 45427, 45433, 45439, 45481, 45491, 45497,
  45503, 45523, 45533, 45541, 45553, 45557, 45569, 45587, 45589,
  45599, 45613, 45631, 45641, 45659, 45667, 45673, 45677, 45691,
  45697, 45707, 45737, 45751, 45757, 45763, 45767, 45779, 45817,
  45821, 45823, 45827, 45833, 45841, 45853, 45863, 45869, 45887,
  45893, 45943, 45949, 45953, 45959, 45971, 45979, 45989, 46021,
  46027, 46049, 46051, 46061, 46073, 46091, 46093, 46099, 46103,
  46133, 46141, 46147, 46153, 46171, 46181, 46183, 46187, 46199,
  46219, 46229, 46237, 46261, 46271, 46273, 46279, 46301, 46307,
  46309, 46327, 46337, 46349, 46351, 46381, 46399, 46411, 46439,
  46441, 46447, 46451, 46457, 46471, 46477, 46489, 46499, 46507,
  46511, 46523, 46549, 46559, 46567, 46573, 46589, 46591, 46601,
  46619, 46633, 46639, 46643, 46649, 46663, 46679, 46681, 46687,
  46691, 46703, 46723, 46727, 46747, 46751, 46757, 46769, 46771,
  46807, 46811, 46817, 46819, 46829, 46831, 46853, 46861, 46867,
  46877, 46889, 46901, 46919, 46933, 46957, 46993, 46997, 47017,
  47041, 47051, 47057, 47059, 47087, 47093, 47111, 47119, 47123,
  47129, 47137, 47143, 47147, 47149, 47161, 47189, 47207, 47221,
  47237, 47251, 47269, 47279, 47287, 47293, 47297, 47303, 47309,
  47317, 47339, 47351, 47353, 47363, 47381, 47387, 47389, 47407,
  47417, 47419, 47431, 47441, 47459, 47491, 47497, 47501, 47507,
  47513, 47521, 47527, 47533, 47543, 47563, 47569, 47581, 47591,
  47599, 47609, 47623, 47629, 47639, 47653, 47657, 47659, 47681,
  47699, 47701, 47711, 47713, 47717, 47737, 47741, 47743, 47777,
  47779, 47791, 47797, 47807, 47809, 47819, 47837, 47843, 47857,
  47869, 47881, 47903, 47911, 47917, 47933, 47939, 47947, 47951,
  47963, 47969, 47977, 47981, 48017, 48023, 48029, 48049, 48073,
  48079, 48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179,
  48187, 48193, 48197, 48221, 48239, 48247, 48259, 48271, 48281,
  48299, 48311, 48313, 48337, 48341, 48353, 48371, 48383, 48397,
  48407, 48409, 48413, 48437, 48449, 48463, 48473, 48479, 48481,
  48487, 48491, 48497, 48523, 48527, 48533, 48539, 48541, 48563,
  48571, 48589, 48593, 48611, 48619, 48623, 48647, 48649, 48661,
  48673, 48677, 48679, 48731, 48733, 48751, 48757, 48761, 48767,
  48779, 48781, 48787, 48799, 48809, 48817, 48821, 48823, 48847,
  48857, 48859, 48869, 48871, 48883, 48889, 48907, 48947, 48953,
  48973, 48989, 48991, 49003, 49009, 49019, 49031, 49033, 49037,
  49043, 49057, 49069, 49081, 49103, 49109, 49117, 49121, 49123,
  49139, 49157, 49169, 49171, 49177, 49193, 49199, 49201, 49207,
  49211, 49223, 49253, 49261, 49277, 49279, 49297, 49307, 49331,
  49333, 49339, 49363, 49367, 49369, 49391, 49393, 49409, 49411,
  49417, 49429, 49433, 49451, 49459, 49463, 49477, 49481, 49499,
  49523, 49529, 49531, 49537, 49547, 49549, 49559, 49597, 49603,
  49613, 49627, 49633, 49639, 49663, 49667, 49669, 49681, 49697,
  49711, 49727, 49739, 49741, 49747, 49757, 49783, 49787, 49789,
  49801, 49807, 49811, 49823, 49831, 49843, 49853, 49871, 49877,
  49891, 49919, 49921, 49927, 49937, 49939, 49943, 49957, 49991,
  49993, 49999, 50021, 50023, 50033, 50047, 50051, 50053, 50069,
  50077, 50087, 50093, 50101, 50111, 50119, 50123, 50129, 50131,
  50147, 50153, 50159, 50177, 50207, 50221, 50227, 50231, 50261,
  50263, 50273, 50287, 50291, 50311, 50321, 50329, 50333, 50341,
  50359, 50363, 50377, 50383, 50387, 50411, 50417, 50423, 50441,
  50459, 50461, 50497, 50503, 50513, 50527, 50539, 50543, 50549,
  50551, 50581, 50587, 50591, 50593, 50599, 50627, 50647, 50651,
  50671, 50683, 50707, 50723, 50741, 50753, 50767, 50773, 50777,
  50789, 50821, 50833, 50839, 50849, 50857, 50867, 50873, 50891,
  50893, 50909, 50923, 50929, 50951, 50957, 50969, 50971, 50989,
  50993, 51001, 51031, 51043, 51047, 51059, 51061, 51071, 51109,
  51131, 51133, 51137, 51151, 51157, 51169, 51193, 51197, 51199,
  51203, 51217, 51229, 51239, 51241, 51257, 51263, 51283, 51287,
  51307, 51329, 51341, 51343, 51347, 51349, 51361, 51383, 51407,
  51413, 51419, 51421, 51427, 51431, 51437, 51439, 51449, 51461,
  51473, 51479, 51481, 51487, 51503, 51511, 51517, 51521, 51539,
  51551, 51563, 51577, 51581, 51593, 51599, 51607, 51613, 51631,
  51637, 51647, 51659, 51673, 51679, 51683, 51691, 51713, 51719,
  51721, 51749, 51767, 51769, 51787, 51797, 51803, 51817, 51827,
  51829, 51839, 51853, 51859, 51869, 51871, 51893, 51899, 51907,
  51913, 51929, 51941, 51949, 51971, 51973, 51977, 51991, 52009,
  52021, 52027, 52051, 52057, 52067, 52069, 52081, 52103, 52121,
  52127, 52147, 52153, 52163, 52177, 52181, 52183, 52189, 52201,
  52223, 52237, 52249, 52253, 52259, 52267, 52289, 52291, 52301,
  52313, 52321, 52361, 52363, 52369, 52379, 52387, 52391, 52433,
  52453, 52457, 52489, 52501, 52511, 52517, 52529, 52541, 52543,
  52553, 52561, 52567, 52571, 52579, 52583, 52609, 52627, 52631,
  52639, 52667, 52673, 52691, 52697, 52709, 52711, 52721, 52727,
  52733, 52747, 52757, 52769, 52783, 52807, 52813, 52817, 52837,
  52859, 52861, 52879, 52883, 52889, 52901, 52903, 52919, 52937,
  52951, 52957, 52963, 52967, 52973, 52981, 52999, 53003, 53017,
  53047, 53051, 53069, 53077, 53087, 53089, 53093, 53101, 53113,
  53117, 53129, 53147, 53149, 53161, 53171, 53173, 53189, 53197,
  53201, 53231, 53233, 53239, 53267, 53269, 53279, 53281, 53299,
  53309, 53323, 53327, 53353, 53359, 53377, 53381, 53401, 53407,
  53411, 53419, 53437, 53441, 53453, 53479, 53503, 53507, 53527,
  53549, 53551, 53569, 53591, 53593, 53597, 53609, 53611, 53617,
  53623, 53629, 53633, 53639, 53653, 53657, 53681, 53693, 53699,
  53717, 53719, 53731, 53759, 53773, 53777, 53783, 53791, 53813,
  53819, 53831, 53849, 53857, 53861, 53881, 53887, 53891, 53897,
  53899, 53917, 53923, 53927, 53939, 53951, 53959, 53987, 53993,
  54001, 54011, 54013, 54037, 54049, 54059, 54083, 54091, 54101,
  54121, 54133, 54139, 54151, 54163, 54167, 54181, 54193, 54217,
  54251, 54269, 54277, 54287, 54293, 54311, 54319, 54323, 54331,
  54347, 54361, 54367, 54371, 54377, 54401, 54403, 54409, 54413,
  54419, 54421, 54437, 54443, 54449, 54469, 54493, 54497, 54499,
  54503, 54517, 54521, 54539, 54541, 54547, 54559, 54563, 54577,
  54581, 54583, 54601, 54617, 54623, 54629, 54631, 54647, 54667,
  54673, 54679, 54709, 54713, 54721, 54727, 54751, 54767, 54773,
  54779, 54787, 54799, 54829, 54833, 54851, 54869, 54877, 54881,
  54907, 54917, 54919, 54941, 54949, 54959, 54973, 54979, 54983,
  55001, 55009, 55021, 55049, 55051, 55057, 55061, 55073, 55079,
  55103, 55109, 55117, 55127, 55147, 55163, 55171, 55201, 55207,
  55213, 55217, 55219, 55229, 55243, 55249, 55259, 55291, 55313,
  55331, 55333, 55337, 55339, 55343, 55351, 55373, 55381, 55399,
  55411, 55439, 55441, 55457, 55469, 55487, 55501, 55511, 55529,
  55541, 55547, 55579, 55589, 55603, 55609, 55619, 55621, 55631,
  55633, 55639, 55661, 55663, 55667, 55673, 55681, 55691, 55697,
  55711, 55717, 55721, 55733, 55763, 55787, 55793, 55799, 55807,
  55813, 55817, 55819, 55823, 55829, 55837, 55843, 55849, 55871,
  55889, 55897, 55901, 55903, 55921, 55927, 55931, 55933, 55949,
  55967, 55987, 55997, 56003, 56009, 56039, 56041, 56053, 56081,
  56087, 56093, 56099, 56101, 56113, 56123, 56131, 56149, 56167,
  56171, 56179, 56197, 56207, 56209, 56237, 56239, 56249, 56263,
  56267, 56269, 56299, 56311, 56333, 56359, 56369, 56377, 56383,
  56393, 56401, 56417, 56431, 56437, 56443, 56453, 56467, 56473,
  56477, 56479, 56489, 56501, 56503, 56509, 56519, 56527, 56531,
  56533, 56543, 56569, 56591, 56597, 56599, 56611, 56629, 56633,
  56659, 56663, 56671, 56681, 56687, 56701, 56711, 56713, 56731,
  56737, 56747, 56767, 56773, 56779, 56783, 56807, 56809, 56813,
  56821, 56827, 56843, 56857, 56873, 56891, 56893, 56897, 56909,
  56911, 56921, 56923, 56929, 56941, 56951, 56957, 56963, 56983,
  56989, 56993, 56999, 57037, 57041, 57047, 57059, 57073, 57077,
  57089, 57097, 57107, 57119, 57131, 57139, 57143, 57149, 57163,
  57173, 57179, 57191, 57193, 57203, 57221, 57223, 57241, 57251,
  57259, 57269, 57271, 57283, 57287, 57301, 57329, 57331, 57347,
  57349, 57367, 57373, 57383, 57389, 57397, 57413, 57427, 57457,
  57467, 57487, 57493, 57503, 57527, 57529, 57557, 57559, 57571,
  57587, 57593, 57601, 57637, 57641, 57649, 57653, 57667, 57679,
  57689, 57697, 57709, 57713, 57719, 57727, 57731, 57737, 57751,
  57773, 57781, 57787, 57791, 57793, 57803, 57809, 57829, 57839,
  57847, 57853, 57859, 57881, 57899, 57901, 57917, 57923, 57943,
  57947, 57973, 57977, 57991, 58013, 58027, 58031, 58043, 58049,
  58057, 58061, 58067, 58073, 58099, 58109, 58111, 58129, 58147,
  58151, 58153, 58169, 58171, 58189, 58193, 58199, 58207, 58211,
  58217, 58229, 58231, 58237, 58243, 58271, 58309, 58313, 58321,
  58337, 58363, 58367, 58369, 58379, 58391, 58393, 58403, 58411,
  58417, 58427, 58439, 58441, 58451, 58453, 58477, 58481, 58511,
  58537, 58543, 58549, 58567, 58573, 58579, 58601, 58603, 58613,
  58631, 58657, 58661, 58679, 58687, 58693, 58699, 58711, 58727,
  58733, 58741, 58757, 58763, 58771, 58787, 58789, 58831, 58889,
  58897, 58901, 58907, 58909, 58913, 58921, 58937, 58943, 58963,
  58967, 58979, 58991, 58997, 59009, 59011, 59021, 59023, 59029,
  59051, 59053, 59063, 59069, 59077, 59083, 59093, 59107, 59113,
  59119, 59123, 59141, 59149, 59159, 59167, 59183, 59197, 59207,
  59209, 59219, 59221, 59233, 59239, 59243, 59263, 59273, 59281,
  59333, 59341, 59351, 59357, 59359, 59369, 59377, 59387, 59393,
  59399, 59407, 59417, 59419, 59441, 59443, 59447, 59453, 59467,
  59471, 59473, 59497, 59509, 59513, 59539, 59557, 59561, 59567,
  59581, 59611, 59617, 59621, 59627, 59629, 59651, 59659, 59663,
  59669, 59671, 59693, 59699, 59707, 59723, 59729, 59743, 59747,
  59753, 59771, 59779, 59791, 59797, 59809, 59833, 59863, 59879,
  59887, 59921, 59929, 59951, 59957, 59971, 59981, 59999, 60013,
  60017, 60029, 60037, 60041, 60077, 60083, 60089, 60091, 60101,
  60103, 60107, 60127, 60133, 60139, 60149, 60161, 60167, 60169,
  60209, 60217, 60223, 60251, 60257, 60259, 60271, 60289, 60293,
  60317, 60331, 60337, 60343, 60353, 60373, 60383, 60397, 60413,
  60427, 60443, 60449, 60457, 60493, 60497, 60509, 60521, 60527,
  60539, 60589, 60601, 60607, 60611, 60617, 60623, 60631, 60637,
  60647, 60649, 60659, 60661, 60679, 60689, 60703, 60719, 60727,
  60733, 60737, 60757, 60761, 60763, 60773, 60779, 60793, 60811,
  60821, 60859, 60869, 60887, 60889, 60899, 60901, 60913, 60917,
  60919, 60923, 60937, 60943, 60953, 60961, 61001, 61007, 61027,
  61031, 61043, 61051, 61057, 61091, 61099, 61121, 61129, 61141,
  61151, 61153, 61169, 61211, 61223, 61231, 61253, 61261, 61283,
  61291, 61297, 61331, 61333, 61339, 61343, 61357, 61363, 61379,
  61381, 61403, 61409, 61417, 61441, 61463, 61469, 61471, 61483,
  61487, 61493, 61507, 61511, 61519, 61543, 61547, 61553, 61559,
  61561, 61583, 61603, 61609, 61613, 61627, 61631, 61637, 61643,
  61651, 61657, 61667, 61673, 61681, 61687, 61703, 61717, 61723,
  61729, 61751, 61757, 61781, 61813, 61819, 61837, 61843, 61861,
  61871, 61879, 61909, 61927, 61933, 61949, 61961, 61967, 61979,
  61981, 61987, 61991, 62003, 62011, 62017, 62039, 62047, 62053,
  62057, 62071, 62081, 62099, 62119, 62129, 62131, 62137, 62141,
  62143, 62171, 62189, 62191, 62201, 62207, 62213, 62219, 62233,
  62273, 62297, 62299, 62303, 62311, 62323, 62327, 62347, 62351,
  62383, 62401, 62417, 62423, 62459, 62467, 62473, 62477, 62483,
  62497, 62501, 62507, 62533, 62539, 62549, 62563, 62581, 62591,
  62597, 62603, 62617, 62627, 62633, 62639, 62653, 62659, 62683,
  62687, 62701, 62723, 62731, 62743, 62753, 62761, 62773, 62791,
  62801, 62819, 62827, 62851, 62861, 62869, 62873, 62897, 62903,
  62921, 62927, 62929, 62939, 62969, 62971, 62981, 62983, 62987,
  62989, 63029, 63031, 63059, 63067, 63073, 63079, 63097, 63103,
  63113, 63127, 63131, 63149, 63179, 63197, 63199, 63211, 63241,
  63247, 63277, 63281, 63299, 63311, 63313, 63317, 63331, 63337,
  63347, 63353, 63361, 63367, 63377, 63389, 63391, 63397, 63409,
  63419, 63421, 63439, 63443, 63463, 63467, 63473, 63487, 63493,
  63499, 63521, 63527, 63533, 63541, 63559, 63577, 63587, 63589,
  63599, 63601, 63607, 63611, 63617, 63629, 63647, 63649, 63659,
  63667, 63671, 63689, 63691, 63697, 63703, 63709, 63719, 63727,
  63737, 63743, 63761, 63773, 63781, 63793, 63799, 63803, 63809,
  63823, 63839, 63841, 63853, 63857, 63863, 63901, 63907, 63913,
  63929, 63949, 63977, 63997, 64007, 64013, 64019, 64033, 64037,
  64063, 64067, 64081, 64091, 64109, 64123, 64151, 64153, 64157,
  64171, 64187, 64189, 64217, 64223, 64231, 64237, 64271, 64279,
  64283, 64301, 64303, 64319, 64327, 64333, 64373, 64381, 64399,
  64403, 64433, 64439, 64451, 64453, 64483, 64489, 64499, 64513,
  64553, 64567, 64577, 64579, 64591, 64601, 64609, 64613, 64621,
  64627, 64633, 64661, 64663, 64667, 64679, 64693, 64709, 64717,
  64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849, 64853,
  64871, 64877, 64879, 64891, 64901, 64919, 64921, 64927, 64937,
  64951, 64969, 64997, 65003, 65011, 65027, 65029, 65033, 65053,
  65063, 65071, 65089, 65099, 65101, 65111, 65119, 65123, 65129,
  65141, 65147, 65167, 65171, 65173, 65179, 65183, 65203, 65213,
  65239, 65257, 65267, 65269, 65287, 65293, 65309, 65323, 65327,
  65353, 65357, 65371, 65381, 65393, 65407, 65413, 65419, 65423,
  65437, 65447, 65449, 65479, 65497, 65519, 65521, 65537, 65539
}; 

unsigned long
_hash_prime(unsigned long start)
{
  int i;

  /* Range-check the starting number */
  if (start < 4)
    return start;
  else if (start > MAX_PRIME) /* largest 32-bit prime */
    return MAX_PRIME;

  /* OK, force the number to the next highest odd (the |= 1), then
   * check sequential odd numbers (the += 2)...
   */
  for (start |= 1; ; start += 2)
    for (i = 0; ; i++) /* Walk through the table of 16-bit primes */
      if (!(start % primes[i])) /* it divided evenly, so skip to the next */
        break;
      else if ((start / primes[i]) < primes[i])
        return start; /* we've checked everything now, so it's prime */

  /* NOT REACHED */
  return 0;
}

---