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Proth primes of the form 27•2n+1

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Revision as of 04:35, 15 June 2024 by Gd barnes (talk | contribs) (reservation to add n>5M even n back to PPS)
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Reserved! This sequence is currently part of Multi Reservation 1: PrimeGrid Proth Prime Search.

Current data

k , b : 27 , 2
Type : 3
Count : 49
Nash : 2142
Max n : 10,000,000 (5,200,000)
Date : 2022-03-21 (2024-07-25)
Reserved : PrimeGridPrimeGrid/Reserved
2[1], 4[2], 7, 16, 19[3], 20[4], 22[5], 26[6], 40[7], 44[8], 46[9], 47[10], 50[11], 56[12], 59[13], 64[14], 92, 175, 215[15], 275[16], 407[17], 455[18], 1076[19], 1090[20], 3080[21], 3322, 6419[22], 7639[23], 19360, 30500[24], 38770[25], 44164[26], 50696[27], 114760[28], 117784[29], 153847[30], 160874[31], 178739[32], 379880[33], 405514[34], 672007[35], 974752[36], 1164664[37], 1476347[38], 2218064[39], 5213635[40], 7046834[41], 7963247[42], 12184319[43]
Remarks :
The sequence A032363 in OEIS

Notes

  1. Twin n=2
  2. Is GF Divisor of xGF(2,11,3), Twin n=4
  3. Is GF Divisor of GF(18,5)
  4. Is GF Divisor of xGF(17,11,5)
  5. Is GF Divisor of xGF(20,9,5)
  6. Is GF Divisor of xGF(24,5,3) [+1]
  7. Is GF Divisor of xGF(39,10,9) [+1]
  8. Is GF Divisor of xGF(43,12,5)
  9. Is GF Divisor of xGF(43,9,5)
  10. Is GF Divisor of GF(45,8) [+1]
  11. Is GF Divisor of xGF(49,11,10)
  12. Is GF Divisor of xGF(55,7,5) [+3]
  13. Is GF Divisor of xGF(56,7,4) [+1]
  14. Is GF Divisor of xGF(62,7,5) [+2]
  15. Is GF Divisor of xGF(214,10,3) [+2]
  16. Is GF Divisor of xGF(274,6,5)
  17. Is GF Divisor of GF(405,7) [+1]
  18. Is GF Divisor of F(452)
  19. Is GF Divisor of xGF(1073,9,7) [+1]
  20. Is GF Divisor of xGF(1089,7,6) [+2]
  21. Is GF Divisor of xGF(3079,11,3)
  22. Is GF Divisor of xGF(6416,11,6) [+1]
  23. Is GF Divisor of xGF(7638,8,5)
  24. Is GF Divisor of xGF(30499,10,3) [+1]
  25. Is GF Divisor of xGF(38769,11,10)
  26. Is GF Divisor of xGF(44161,11,6)
  27. Is GF Divisor of GF(50695,11)
  28. Is GF Divisor of xGF(114759,9,7)
  29. Is GF Divisor of xGF(117783,9,7)
  30. Is GF Divisor of xGF(153844,10,7)
  31. Is GF Divisor of xGF(160869,11,3) [+1]
  32. Is GF Divisor of xGF(178738,5,2) [+3]
  33. Is GF Divisor of xGF(379879,10,7)
  34. Is GF Divisor of xGF(405513,7,5) [+3]
  35. Is GF Divisor of F(672005) [+7]
  36. Is GF Divisor of xGF(974749,7,5) [+1]
  37. Is GF Divisor of xGF(1164663,9,7)
  38. Is GF Divisor of xGF(1476345,11,3)
  39. Is GF Divisor of xGF(2218063,9,5) [+1]
  40. Is GF Divisor of xGF(5213634,7,6) [+1]
  41. Is GF Divisor of xGF(7046830,10,3) [+1]
  42. Is GF Divisor of F(7963245)
  43. Is GF Divisor of GF(12184313,8) [+1]

History