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Proth primes of the form 345•2n+1

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Current data

k , b : 345 , 2
Type : 315
Count : 92
Nash : 4308
Max n : 5,000,000
Date : 2024-04-30
1, 2, 4[1], 8, 9, 11, 15[2], 18, 20, 24, 30[3], 40[4], 47, 87[5], 88, 150[6], 154, 166[7], 195[8], 264, 360, 412, 438, 546, 569, 621, 625, 778, 814, 1041, 1189, 1302, 1356, 1397, 1465, 1541, 1549, 1568, 3246, 6557[9], 6627, 9477, 10552, 12744, 13515, 14850, 15951, 18378, 18456, 27705, 27719, 27815, 30165, 32121, 41780, 43276, 48136, 49048, 62526, 79172, 87977, 103500, 144054, 155708, 161261, 180726, 181434, 194562, 213060, 261455, 441719, 442566[10], 459204, 525977[11], 613086, 633911, 808726, 838479, 958896, 1010394, 1039566, 1051282, 1335896, 1441905, 2042295, 2405701, 2792269, 3027769, 3532957, 3779921[12], 3817949, 4173969
Remarks :
The sequence A319742 in OEIS

Notes

  1. ↑ Twin n=4
  2. ↑ Is GF Divisor of GF(12,12), Twin n=15
  3. ↑ Twin n=30
  4. ↑ Twin n=40
  5. ↑ Is GF Divisor of xGF(86,7,4)
  6. ↑ Twin n=150
  7. ↑ Is GF Divisor of GF(163,5)
  8. ↑ Is GF Divisor of xGF(194,7,2) [+1]
  9. ↑ Is GF Divisor of GF(6554,8)
  10. ↑ Is GF Divisor of GF(442564,8)
  11. ↑ Is GF Divisor of xGF(525975,4,3) [+3]
  12. ↑ Is GF Divisor of xGF(3779919,11,5)

History

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