Proth primes of the form `k`•2ⁿ+1, 2000 < `k` < 4000

Overview

Automatically generated table from available Proth primes 2000 < k < 4000.

The colors used in the table are defined as:

: k-value is reserved

: k-value is not reserved

There are 4 sequences:

`k`	Type	Date	max `n`	Nash	#	Primes for `n`
3125		2023-02-14 PrimeGrid Proth Mega Prime Search (MR24)	3,450,000	1150	28	17, 29, 39, 123, 131, 143, 149, 167, 221, 303, 543, 593, 2331, 2823, 3401, 3843, 10637, 11199, 13769, 24293, 25407, 94073, 147089, 168927, 1583223, 2697651, 2867399, 3124079
3207	3	2021-08-09 PrimeGrid Proth Prime Search Extended (MR25)	1,640,000	2518	57	2, 3, 7, 11, 12, 14, 23, 39, 63, 74, 83, 90, 91, 123, 134, 170, 194, 208, 230, 403, 480, 487, 498, 683, 743, 962, 3122, 4628, 5882, 6402, 6680, 7560, 7679, 10008, 17744, 31710, 44731, 51182, 63174, 83823, 100202, 115739, 154119, 204279, 221063, 296948, 321978, 360220, 371927, 387203, 396887, 791582, 903902, 1244504, 1267439, 1286940, 3375314
3777	3	2021-08-09 PrimeGrid Proth Prime Search Extended (MR25)	1,640,000	3246	61	8, 10, 12, 15, 20, 22, 24, 26, 36, 40, 59, 62, 80, 155, 190, 202, 230, 231, 234, 270, 327, 342, 347, 386, 396, 419, 446, 512, 1286, 1395, 1448, 1482, 1630, 1784, 2000, 2891, 7554, 7995, 8642, 10570, 13388, 13980, 20396, 28227, 29294, 29687, 39876, 69771, 70494, 91594, 99036, 106618, 157610, 283179, 307090, 448364, 695240, 698399, 917700, 967076, 3374072
3943		2021-08-09 PrimeGrid Proth Prime Search Extended (MR25)	1,640,000	1934	45	2, 30, 54, 74, 86, 146, 150, 166, 318, 338, 342, 372, 530, 540, 966, 1058, 1074, 1438, 1482, 1526, 2722, 3074, 4026, 4614, 4974, 5998, 8126, 8868, 9612, 9710, 13302, 16710, 16926, 18822, 18830, 24606, 57902, 148138, 174038, 221274, 311366, 384002, 809706, 1280698, 1642638

Proth primes

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