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Proth primes of the form 27•2n+1

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Current data

k , b : 27 , 2
Type : 3
Count : 49
Nash : 2142
Max n : 10,000,000
Date : 2024-05-23
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

PrimeGrid Proth Prime Search is double-checking n>5000000 even n.

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], Near Cullen 27•226+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], Near Cullen 54•255+1
  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

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