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

## Overview

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

## 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
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
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