From d73a1716f603348739b55b953c3aaa0b86f0ffab Mon Sep 17 00:00:00 2001 From: Simon Tatham Date: Sun, 30 Dec 2018 08:48:38 +0000 Subject: [PATCH] Remove static list of primes in sshprime.c. It wasn't really doing any serious harm, but I just got tired of having to scroll past 700 lines of pointless static data every time I wanted to look at the actual code in the file. Now primes[] is initialised as necessary when genprime is first called. (Since we only use primes up to 2^16, I didn't see any point in doing anything fancy; this is the most trivial Sieve of Eratosthenes.) --- sshprime.c | 747 ++--------------------------------------------------- 1 file changed, 28 insertions(+), 719 deletions(-) diff --git a/sshprime.c b/sshprime.c index 03b9c728..cf36975e 100644 --- a/sshprime.c +++ b/sshprime.c @@ -106,726 +106,33 @@ * but 1s.) */ -/* - * The first few odd primes. - * - * import sys - * def sieve(n): - * z = [] - * list = [] - * for i in range(n): z.append(1) - * for i in range(2,n): - * if z[i]: - * list.append(i) - * for j in range(i,n,i): z[j] = 0 - * return list - * list = sieve(65535) - * for i in list[1:]: sys.stdout.write("%d," % i) - */ -static const unsigned short 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, - 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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, -}; +static unsigned short primes[6542]; /* # primes < 65536 */ +#define NPRIMES (lenof(primes)) -#define NPRIMES (sizeof(primes) / sizeof(*primes)) +static void init_primes_array(void) +{ + if (primes[0]) + return; /* already done */ + + bool A[65536]; + + for (size_t i = 2; i < lenof(A); i++) + A[i] = true; + + for (size_t i = 2; i < lenof(A); i++) { + if (!A[i]) + continue; + for (size_t j = 2*i; j < lenof(A); j += i) + A[j] = false; + } + + size_t pos = 0; + for (size_t i = 2; i < lenof(A); i++) + if (A[i]) + primes[pos++] = i; + + assert(pos == NPRIMES); +} /* * Generate a prime. We can deal with various extra properties of @@ -858,6 +165,8 @@ Bignum primegen(int bits, int modulus, int residue, Bignum factor, Bignum p, pm1, q, wqp, wqp2; int progress = 0; + init_primes_array(); + byte = 0; bitsleft = 0;