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Proth primes of the form k•2n+1, k > 1010

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Overview

Automatically generated table from available Proth primes k > 1010.

Explanations

The colors used in the table are defined as:

 
 : k-value is reserved
 
 : k-value is not reserved

Primes table

There are 4 sequences:

k Type Date max n Nash # Primes for n
14476720225405 2021-07-29 50,000 2321 26 1, 6, 16, 30, 40, 42, 64, 68, 78, 98, 116, 188, 232, 240, 416, 648, 724, 1350, 5920, 8316, 8762, 9896, 19758, 22394, 35756, 39616
1527888802614951 3 2019-04-20 10,000 2929 28 3, 4, 11, 16, 17, 52, 63, 75, 76, 120, 145, 175, 352, 420, 641, 721, 841, 1073, 1147, 1192, 1361, 1617, 2316, 3379, 3600, 3673, 4711, 7673
30562993973479965532402725 2012-08-27 340,000 7833 180 5, 15, 16, 26, 36, 38, 51, 55, 59, 66, 68, 69, 86, 93, 94, 105, 106, 136, 150, 152, 153, 160, 161, 171, 198, 199, 232, 233, 244, 246, 269, 291, 297, 307, 330, 368, 385, 394, 427, 439, 482, 485, 491, 497, 509, 532, 567, 572, 583, 596, 599, 640, 660, 736, 776, 796, 799, 818, 913, 925, 942, 1047, 1146, 1184, 1253, 1284, 1400, 1501, 1558, 1612, 1626, 1667, 1828, 1875, 1945, 1976, 2043, 2444, 2884, 3108, 3296, 3353, 3439, 3511, 3727, 4037, 4099, 4145, 4318, 4403, 4437, 4551, 4788, 4866, 5002, 5272, 5434, 5449, 6558, 6560, 6837, 7068, 8540, 8747, 9252, 9314, 9673, 10107, 10939, 11101, 11689, 11717, 12879, 12969, 13107, 13239, 14878, 14900, 16000, 16658, 16923, 18345, 18573, 18791, 19248, 19619, 20924, 21043, 21363, 22167, 22882, 27581, 28518, 28940, 29126, 29242, 29577, 29665, 34156, 35212, 39581, 40232, 43213, 43984, 45644, 62423, 63511, 65622, 69778, 72369, 72969, 79932, 85510, 89404, 94708, 95795, 98533, 100821, 104136, 109400, 116063, 121799, 127419, 131976, 146515, 157616, 177343, 182109, 198262, 205792, 209356, 211962, 222095, 250108, 294496, 295197, 299354, 302174, 335908, 338615
32268186233370440249391495 3 2012-08-27 340,000 7953 177 1, 3, 6, 12, 29, 39, 46, 62, 76, 79, 90, 91, 101, 106, 113, 117, 119, 127, 139, 142, 145, 165, 166, 168, 180, 190, 223, 225, 232, 253, 276, 284, 344, 353, 366, 374, 394, 421, 437, 458, 463, 465, 476, 485, 497, 510, 532, 560, 590, 595, 605, 607, 608, 694, 719, 730, 740, 772, 806, 811, 869, 886, 967, 978, 1003, 1029, 1084, 1092, 1104, 1169, 1365, 1466, 1834, 1965, 1999, 2264, 2293, 2441, 2520, 2622, 2635, 3037, 3090, 3212, 3246, 3262, 3588, 3935, 3981, 3992, 4475, 4550, 4594, 5039, 5079, 5152, 5654, 5708, 5804, 5990, 6075, 6242, 6315, 6563, 6594, 6633, 6945, 7329, 7638, 7719, 8872, 8949, 9406, 10349, 11056, 11210, 11333, 12141, 13843, 13893, 14416, 15345, 15589, 16760, 17567, 18304, 18338, 19059, 19679, 19855, 20094, 20410, 21175, 23955, 25585, 27511, 30584, 31727, 33031, 33312, 34812, 35185, 35367, 44099, 46412, 47563, 50137, 51671, 52689, 53254, 60133, 62729, 64714, 69716, 85275, 89868, 92711, 94168, 110103, 113637, 115183, 121404, 140140, 141404, 146348, 164796, 173217, 187066, 194250, 217947, 219946, 246920, 251085, 254045, 287037, 288194, 323172
Proth primes