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Proth primes of the form k•2n+1, 10,000 ≤ k ≤ 100,000

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Overview

Automatically generated table from available Proth primes 10,000 < k < 100,000.

Explanations

The colors used in the table are defined as:

 
 : k-value is reserved
 
 : k-value is not reserved

Primes table

There are 25 sequences:

k Type Date max n Nash # Primes for n
10223 Low 2017 31,278,077 207 1 31172165
12743 Low 2020-06-09 100,000 416 3 9, 41205, 49113
15735 315 2020-10-11 50,000 2954 35 4, 7, 10, 94, 95, 98, 110, 128, 136, 200, 215, 334, 559, 676, 740, 856, 935, 1159, 1463, 1468, 1763, 1795, 3274, 4037, 4162, 6139, 6857, 9893, 10228, 14915, 18815, 22903, 28555, 29278, 36490
19683 3 2019-10-08 4,000,000 1802 32 1, 5, 8, 32, 50, 400, 536, 592, 676, 866, 1157, 1300, 1661, 1730, 2440, 7046, 9698, 16180, 16226, 22330, 26990, 206005, 238780, 278941, 366665, 485845, 493846, 901745, 1797997, 1868828, 2033900, 2265896
21181 Low 2020-09-25
PrimeGrid Seventeen or Bust (MR16)
32,698,000 169 0
22249 Low 2020-04-10 500,000 284 2 2, 408602
22699 Low 2020-09-25
PrimeGrid Seventeen or Bust (MR16)
32,698,000 69 0
23971 Low 2020-10-17
PrimeGrid New Sierpiński Problem (MR19)
10,000,000 108 1 8
24737 Low 2020-09-25
PrimeGrid Seventeen or Bust (MR16)
32,698,000 174 0
32247 3 2021-01-28
CRUS Liskovets-Gallot (MR12)
6,650,000 1736 23 10, 18, 40, 94, 114, 190, 234, 240, 300, 538, 922, 1224, 6514, 8740, 13438, 19692, 23764, 43894, 48862, 49774, 60148, 75202, 75780
45323 Low 2020-11-25 10,000,000 266 1 1
48495 315 2020-10-08 1,000 3088 21 11, 13, 29, 40, 43, 49, 50, 70, 73, 82, 106, 125, 163, 251, 269, 349, 401, 479, 527, 614, 920
50777 Low 2020-10-17
PrimeGrid New Sierpiński Problem (MR19)
10,000,000 166 1 11
50873 Low 2020-11-25 10,000,000 410 1 1
53133 3 2021-01-28
CRUS Liskovets-Gallot (MR12)
6,650,000 1475 18 14, 26, 44, 72, 144, 146, 204, 222, 404, 642, 716, 1116, 1178, 5846, 16292, 21224, 24788, 42542
55459 Low 2020-09-25
PrimeGrid Seventeen or Bust (MR16)
32,698,000 242 0
66741 3Low 2020-07-05 50,000 811 9 5, 51, 95, 117, 237, 357, 2231, 3767, 6837
67275 315 2020-10-08 1,000 3481 25 3, 4, 7, 9, 13, 15, 22, 33, 36, 37, 49, 64, 69, 72, 78, 93, 102, 109, 145, 211, 216, 277, 325, 348, 457
67607 Low 2020-09-25
PrimeGrid Seventeen or Bust (MR16)
32,698,000 56 0
68633 Low 2020-06-02 2,715,609 250 2 9, 2715609
76877 Low 2020-10-17
PrimeGrid New Sierpiński Problem (MR19)
10,000,000 96 1 11
78557 Low 1962 0 0 0 No primes possible!
79309 Low 2021-07-12
PrimeGrid Prime Sierpiński Problem (MR18)
23,890,000 56 0
79817 Low 2021-07-12
PrimeGrid Prime Sierpiński Problem (MR18)
23,890,000 146 0
95283 3 2020-07-05 50,000 1489 27 4, 14, 22, 28, 34, 148, 230, 274, 304, 352, 446, 616, 652, 1214, 1796, 2632, 4516, 4888, 4918, 7852, 9314, 13096, 17908, 25124, 25828, 29912, 40228
Proth primes