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# Proth primes of the form k•2n+1, 4000 < k < 6000

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## 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 4 sequences:

k Type Date max n Nash # Primes for n
4119 3 2021-08-09
PrimeGrid Proth Prime Search Extended (MR25)
1,640,000 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 2021-08-09
PrimeGrid Proth Prime Search Extended (MR25)
1,640,000 2280 54 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
5307 3 2021-08-09
PrimeGrid Proth Prime Search Extended (MR25)
1,640,000 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 2021-08-09
PrimeGrid Proth Prime Search Extended (MR25)
1,640,000 3173 55 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, 3375777
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