Proth primes of the form `k`•2ⁿ-1, 10⁸ < `k` < 10⁹

Overview

Automatically generated table from available Proth primes 10⁸ < k < 10⁹.

The colors used in the table are defined as:

: k-value is reserved

: k-value is not reserved

There are 2 sequences:

`k`	Type	Date	max `n`	Nash	#	Primes for `n`
314159265	315Low	2024-03-14 (Alex_soldier)	314,159	466	57	7, 13, 15, 21, 42, 53, 82, 146, 147, 169, 226, 336, 396, 418, 466, 546, 767, 840, 872, 873, 889, 1196, 1301, 1412, 1496, 1572, 1586, 2423, 4891, 5165, 5313, 6055, 6497, 11725, 11799, 12165, 12425, 14505, 15537, 24203, 24727, 32053, 43037, 46610, 48597, 66255, 78373, 87185, 109402, 110277, 125145, 140105, 206967, 223967, 249343, 277345, 291122
577294575	3152145	2023-04-10 (Alex_soldier)	50,000	6655	144	2, 3, 4, 5, 6, 7, 8, 11, 13, 14, 17, 18, 23, 24, 27, 31, 38, 39, 40, 43, 50, 53, 58, 60, 67, 72, 82, 99, 108, 119, 126, 151, 171, 174, 179, 255, 263, 270, 310, 330, 355, 357, 387, 419, 511, 571, 612, 647, 650, 685, 804, 833, 879, 898, 923, 992, 1079, 1100, 1202, 1286, 1320, 1364, 1395, 1411, 1600, 1618, 1647, 1722, 1768, 1772, 1854, 2025, 2130, 2664, 2884, 2905, 3050, 3390, 3405, 3437, 3589, 3646, 3659, 3966, 4732, 5276, 5429, 6517, 6604, 6914, 7140, 7232, 7724, 8102, 8196, 10086, 10530, 11795, 12715, 13398, 14665, 16755, 19156, 19542, 20511, 20694, 21671, 22455, 26292, 29767, 30862, 31279, 33772, 41483, 43100, 45716, 52370, 54276, 54973, 58085, 71258, 73106, 85529, 93370, 111551, 112853, 117045, 127671, 129917, 130639, 136007, 174306, 180283, 186563, 207060, 223519, 236432, 237384, 238106, 279263, 300263, 372840, 481273, 546677

Proth primes

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