Thread: High weight k's
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Old 2008-12-02, 13:16   #6
Thomas11
 
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Feb 2003

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Here are the primes for three high-weight k using Gary's notation. I noticed just now that one of them (k=20887630335) has already been tested by amphoria up to n=88k. Please note the prime for n=1 which is missing in his list.

Code:
k:          n's prime
7924279935: 4, 9, 14, 15, 20, 22, 30, 36, 39, 40, 49, 50, 53, 56, 57, 65, 66,
            69, 79, 93, 94, 96, 105, 169, 202, 250, 273, 283, 287, 292, 310,
            318, 323, 343, 351, 369, 395, 396, 432, 465, 542, 595, 819, 837,
            843, 850, 853, 883, 989, 1009, 1095, 1130, 1138, 1148, 1163, 1249,
            1572, 1603, 1866, 1895, 1950, 2423, 3408, 3939, 3955, 4560, 5011,
            5093, 5445, 5817, 6802, 7615, 7762, 7848, 8623, 10492, 10980,
            12225, 13382, 13774, 15344, 16595, 17078, 17459, 21091, 22288,
            22363, 22419, 23371, 24926, 26339, 30957, 32812, 33513, 33997,
            39577, 44071, 46648, 46918, 47029, 54264, 57433, 58104, 58940,
            62987, 72806, 76401, 82315, 84388, 87252, 87444, 91714, 115885,
            117063, 119001, 145419, 164340, 171427, 178596, 181172, 183712,
            211725, 213017, 213130, 220548, 223801, 256723 [302k] (127 primes)

20887630335: 1, 4, 6, 7, 8, 9, 25, 28, 30, 31, 32, 44, 45, 52, 55, 58, 59, 62,
             68, 71, 78, 86, 96, 130, 134, 140, 144, 148, 181, 183, 188, 230,
             247, 263, 311, 316, 351, 352, 354, 412, 825, 865, 881, 964, 988,
             992, 1007, 1070, 1175, 1433, 1635, 1783, 1970, 2125, 2151, 2330,
             2358, 2648, 2797, 3061, 3462, 4481, 5006, 5178, 6220, 6964, 7270,
             7274, 7703, 9283, 9306, 9342, 10147, 10624, 12293, 12624, 13420,
             14194, 15365, 16736, 17601, 22337, 27827, 34183, 37218, 37484,
             38123, 41407, 41626, 48473, 49084, 51782, 52628, 52711, 53688,
             54925, 59548, 69574, 74713, 75237, 79888, 92470, 96735, 100713,
             101425, 106891, 113696, 176264 [190k] (108 primes)

37850187375: 2, 5, 13, 16, 19, 20, 41, 56, 57, 64, 66, 74, 90, 97, 100, 107,
             130, 137, 145, 147, 149, 171, 172, 178, 208, 241, 258, 301, 302,
             318, 330, 331, 386, 439, 460, 462, 526, 529, 556, 558, 563, 625,
             626, 628, 666, 699, 797, 804, 890, 907, 928, 968, 1050, 1117,
             1247, 1304, 1453, 1584, 1782, 1788, 2115, 2193, 2239, 2371, 2439,
             2533, 2789, 2827, 2984, 3044, 3382, 3568, 3633, 3884, 3900, 3909,
             4406, 4426, 5833, 6241, 6283, 6325, 6580, 6596, 6714, 7621, 7727,
             7968, 8323, 8817, 9002, 9258, 9833, 11742, 11868, 12248, 12294,
             12754, 13340, 13719, 15527, 15913, 16323, 16554, 19362, 19802,
             20013, 22376, 26187, 26979, 29664, 30135, 34194, 34249, 34615,
             38430, 43069, 44140, 45712, 46408, 46526, 51623, 56911, 71097,
             72677, 83407, 92569, 95928, 98642, 100905, 102171, 110802,
             118475, 118790, 119293, 124258, 127742, 128558, 133092, 146011,
             172215, 187837, 211316, 239276, 242178, 248132, 256416, 265996,
             273971, 274553, 281322, 314180, 384305, 384898, 410418, 450597,
             469548 [470k] (157 primes)
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