Thread: High weight k's
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Old 2008-11-28, 12:17   #2
gd_barnes
 
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May 2007
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Here are primes for many high-weight 15 k's in the k=400K-1.4M range that currently show zero primes. The search limit was n=10K with the exception of one k that I will show in a separate post.

Code:
k:         n's prime
439725: 1, 2, 3, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 24, 34, 35, 36, 42,
        49, 52, 54, 72, 161, 165, 204, 207, 220, 241, 264, 275, 308, 402,
        427, 444, 528, 532, 549, 577, 585, 684, 729, 781, 862, 1042, 1225,
        1320, 1809, 1811, 1955, 2149, 2316, 2653, 3077, 3122, 3699, 4460,
        4645, 6996, 7536, 8630, 9427 (61 primes)
 
458055: 1, 2, 3, 4, 7, 10, 12, 14, 22, 35, 39, 44, 52, 56, 61, 105, 190,
        210, 217, 254, 260, 313, 371, 404, 410, 664, 686, 854, 1042, 1079,
        1156, 1224, 1397, 1505, 1510, 1725, 1852, 1854, 2112, 2260, 2275,
        2594, 2689, 2802, 2852, 3152, 3251, 3996, 4432, 4441, 5651, 6826,
        8460, 9412 (54 primes)
 
499455: 1, 3, 5, 8, 10, 12, 19, 27, 29, 36, 38, 40, 42, 55, 64, 65, 70, 88,
        92, 94, 103, 145, 158, 169, 171, 185, 188, 196, 200, 209, 222, 236,
        317, 318, 397, 493, 497, 898, 916, 964, 967, 1046, 1060, 1084,
        1178, 1254, 1417, 1513, 1579, 1580, 1948, 1971, 2149, 2344, 2386,
        3772, 4344, 4650, 4694, 5031, 5730, 6126, 6570, 6769, 6805, 7013,
        8184, 9338, 9462 (69 primes)
 
542685: 1, 4, 6, 10, 11, 14, 16, 26, 27, 28, 31, 33, 34, 39, 42, 46, 52, 58,
        74, 79, 80, 108, 131, 162, 163, 184, 242, 258, 272, 324, 352, 538,
        720, 900, 970, 1072, 1108, 1151, 1212, 1346, 1351, 1491, 1538,
        1801, 1975, 2008, 2330, 3622, 3731, 4015, 4723, 5599, 5850, 7195,
        7553, 8771, 8782, 9702, 9972 (59 primes)
 
607815: 1, 3, 4, 6, 7, 10, 11, 13, 16, 17, 18, 19, 36, 39, 40, 43, 44, 49,
        57, 60, 77, 79, 100, 107, 108, 136, 137, 149, 151, 154, 178, 188,
        193, 208, 214, 220, 240, 246, 247, 274, 360, 361, 364, 387, 406,
        528, 591, 607, 706, 834, 1029, 1054, 1368, 1637, 1950, 2069,
        2083, 2218, 2398, 2457, 2929, 3489, 3676, 4219, 5076, 5416, 5577,
        6777, 7027, 7443, 7607, 8607, 9980 (73 primes)
 
663465: 1, 3, 4, 5, 6, 8, 11, 12, 15, 17, 18, 24, 29, 32, 42, 44, 53, 58,
        64, 72, 139, 152, 155, 174, 176, 180, 200, 207, 209, 222, 449, 491,
        512, 531, 791, 845, 868, 875, 1239, 1431, 1462, 1515, 1828, 2012,
        2118, 2419, 3179, 3534, 4717, 5667, 6276, 7212, 7488, 8892, 9053,
        9133, 9159 (57 primes)
 
666735: 5, 9, 11, 14, 16, 20, 21, 23, 28, 29, 30, 41, 43, 49, 90, 110, 138,
        153, 160, 165, 168, 170, 179, 188, 231, 243, 253, 313, 350, 384,
        408, 519, 620, 783, 841, 888, 947, 1189, 1348, 1603, 1613, 1707,
        1763, 1997, 2447, 2468, 2474, 2706, 3197, 4260, 4381, 5608, 5763,
        5940, 6087, 8577, 9745, 9944 (58 primes)
 
861735: 2, 3, 4, 6, 7, 12, 14, 18, 25, 26, 27, 29, 30, 35, 37, 43, 53, 68,
        69, 80, 98, 104, 109, 110, 124, 127, 133, 162, 194, 200, 209, 278,
        296, 306, 323, 359, 364, 414, 415, 470, 500, 507, 615, 672, 844,
        990, 1009, 1088, 1569, 1875, 1960, 2183, 2606, 2959, 3006, 3402,
        3525, 4760, 4875, 5507, 6233, 7484, 7970, 8489, 9956 (65 primes)
 
906015: 2, 3, 4, 5, 6, 10, 28, 32, 40, 42, 48, 49, 53, 59, 72, 87, 100, 106,
        117, 130, 132, 136, 144, 156, 173, 181, 182, 184, 214, 215, 285, 
        357, 378, 411, 423, 505, 701, 723, 804, 825, 855, 872, 949, 1118,
        1127, 1149, 1191, 1196, 1271, 1460, 1491, 1920, 2553, 3234, 3529,
        4330, 4613, 4658, 4706, 5093, 6188, 7466, 8324, 8374 (64 primes)

Last fiddled with by kar_bon on 2008-12-15 at 12:34 Reason: k=906015 got 64 primes, not 65!
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