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Proth primes of the form 9•2n+1

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Reserved! This sequence is currently part of Multi Reservation 20: PrimeGrid Fermat Divisor Search.

Current data

k-value : 9
Count : 66
Nash : 2297
Max n : 9,000,000
Date : 2021-04-01
Reserved : PrimeGridPrimeGrid/Reserved
1[1], 2, 3[2], 6, 7[3], 11[4], 14, 17, 33[5], 42, 43[6], 63[7], 65[8], 67[9], 81[10], 134, 162[11], 206[12], 211[13], 366, 663, 782, 1305[14], 1411, 1494[15], 2297[16], 2826[17], 3230, 3354[18], 3417, 3690[19], 4842[20], 5802, 6937, 7967[21], 9431[22], 13903[23], 22603[24], 24422, 39186[25], 43963, 47003, 49902, 67943[26], 114854, 127003[27], 145247, 147073[28], 149143[29], 304607[30], 384990, 412034, 435743[31], 461081[32], 834810, 1051026, 1807574, 2543551, 3497442[33], 5642513[34], 9778263[35], 11158963[36], 11366286[37], 11500843[38], 12406887[39], 13334487[40]
Remarks :
The sequence A002256 in OEIS

Notes

  1. Twin n=1
  2. Twin n=3, Divides: GF(2,10)
  3. Twin n=7
  4. Divides: GF(8,6)
  5. Divides: GF(29,3)
  6. Twin n=43
  7. Twin n=63, Divides: GF(61,3), GF(62,10)
  8. Divides: GF(63,6)
  9. Divides: F(63), GF(64,3), GF(66,5), GF(64,6), GF(66,10), GF(64,12)
  10. Divides: GF(79,3)
  11. Divides: GF(158,3)
  12. Divides: GF(205,5)
  13. Twin n=211, Divides: GF(204,12)
  14. Divides: GF(1303,3)
  15. Divides: GF(1488,3)
  16. Divides: GF(2294,6)
  17. Divides: GF(2822,3)
  18. Divides: GF(3353,10)
  19. Divides: GF(3684,3)
  20. Divides: GF(4838,3)
  21. Divides: GF(7964,6), GF(7966,10)
  22. Divides: F(9428), GF(9429,3), GF(9429,6), GF(9429,12)
  23. Divides: GF(13902,5)
  24. Divides: GF(22601,12)
  25. Divides: GF(39177,3)
  26. Divides: GF(67941,6)
  27. Divides: GF(126999,12)
  28. Divides: GF(147070,12)
  29. Divides: GF(149141,12)
  30. Divides: GF(304604,6)
  31. Divides: GF(435742,10)
  32. Divides: F(461076), GF(461077,3), GF(461077,6), GF(461077,12)
  33. Divides: GF(3497441,7), xGF(3497438,9,8), GF(3497441,10), xGF(3497439,11,3), xGF(3497441,12,5)
  34. Divides: GF(5642510,7), xGF(5642511,5,3), xGF(5642509,9,2), xGF(5642512,12,11)
  35. Divides: GF(9778262,7), xGF(9778262,6,5), xGF(9778256,9,8), xGF(9778260,11,10), xGF(9778262,12,11)
  36. Divides: GF(11158962,5), xGF(11158961,3,2), xGF(11158962,10,3), xGF(11158962,11,4), xGF(11158962,11,6), xGF(11158962,11,9)
  37. Divides: xGF(11366285,7,4), xGF(11366285,8,5), xGF(11366285,9,5), xGF(11366281,9,8), xGF(11366285,11,5), xGF(11366284,11,8), xGF(11366284,11,9)
  38. Divides: GF(11500840,12), xGF(11500842,5,3), xGF(11500842,9,7), xGF(11500841,11,7), xGF(11500842,11,9)
  39. Divides: GF(12406885,3), GF(12406883,11), xGF(12406886,7,2), xGF(12406886,7,6), xGF(12406886,8,5), xGF(12406885,11,3), xGF(12406884,11,9)
  40. Divides: GF(13334485,3), GF(13334486,7), GF(13334484,8), xGF(13334486,7,3), xGF(13334485,8,3), xGF(13334486,8,7), xGF(13334486,9,7), xGF(13334483,9,8)

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