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Proth primes of the form k•2n+1, 4000 < k < 6000
Overview
Automatically generated table from available Proth primes 4000 < k < 6000.
Explanations
The colors used in the table are defined as:
- : k-value is reserved
- : k-value is not reserved
Primes table
There are 7 sequences:
| k | Type | Date | max n | Nash | # | Primes for n |
|---|---|---|---|---|---|---|
| 4119 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 1352 | 23 | 2, 9, 54, 74, 110, 369, 774, 1145, 1265, 2475, 2526, 2889, 20310, 29669, 33525, 38622, 54666, 72915, 90507, 139394, 443235, 476849, 679950 |
| 4665 | 315 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 2280 | 55 | 2, 3, 8, 12, 14, 17, 32, 39, 60, 89, 104, 128, 137, 158, 159, 228, 272, 312, 473, 633, 1104, 1137, 1533, 1770, 2052, 2732, 3212, 5583, 6288, 7329, 11292, 13008, 13508, 16400, 24717, 25052, 30740, 49500, 106553, 119790, 138837, 143264, 178322, 242700, 359114, 399494, 416204, 546879, 760820, 787244, 841209, 1050332, 1270202, 1642514, 3400922 |
| 5193 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 2405 | 54 | 2, 4, 14, 26, 44, 58, 68, 92, 218, 244, 274, 280, 382, 436, 454, 638, 784, 790, 824, 880, 1130, 2200, 2546, 2818, 2840, 3874, 4226, 4277, 5846, 8572, 12862, 15118, 20270, 31520, 40216, 48077, 59110, 59674, 76178, 78992, 125392, 130970, 132221, 133808, 148618, 151688, 172109, 185237, 222202, 313318, 359716, 421942, 1093718, 1495292 |
| 5307 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 3348 | 58 | 3, 4, 6, 7, 19, 27, 28, 36, 42, 60, 70, 95, 126, 148, 172, 252, 276, 416, 478, 500, 556, 908, 1019, 1050, 1324, 1503, 2380, 2430, 3424, 3752, 3966, 5023, 7952, 8348, 8467, 13535, 14180, 19804, 21424, 22803, 65956, 67668, 71598, 94062, 124275, 132120, 145696, 156887, 208048, 222404, 332299, 396736, 550920, 626016, 675879, 712292, 1047047, 3374939 |
| 5505 | 315 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 3173 | 57 | 3, 5, 9, 12, 15, 17, 30, 50, 53, 57, 80, 99, 168, 570, 642, 677, 708, 765, 780, 1230, 1296, 1872, 1902, 1935, 2156, 3225, 3942, 4098, 4679, 7683, 11510, 13907, 16119, 17292, 24042, 25244, 35352, 61280, 62934, 63486, 105840, 130292, 131670, 149603, 150893, 171347, 242160, 244062, 287226, 848408, 901377, 1155282, 1212579, 1266048, 1738323, 1869345, 3375777 |
| 5703 | 3Low | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 851 | 19 | 4, 6, 36, 64, 114, 432, 5149, 7758, 8397, 12354, 17826, 18222, 18384, 23157, 32509, 37144, 41236, 99342, 670158 |
| 5823 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 2254 | 39 | 2, 4, 16, 62, 64, 68, 88, 116, 146, 176, 188, 200, 416, 512, 1096, 1316, 1496, 1552, 1634, 4468, 5246, 8105, 8648, 9620, 11372, 14969, 15521, 15724, 44809, 47929, 48368, 49556, 84668, 118328, 155722, 410201, 572786, 730706, 1338928 |
Proth primes
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