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Proth primes of the form 27•2n+1

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Reserved! This sequence is currently part of Multi Reservation 23: Riesel problem 4.

Current data

k , b : 27 , 2
Type : 3
Count : 49
Nash : 2142
Max n : 1,000,000
Date : 2023-06-29
Reserved : Alexander JonesAlexander Jones/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]

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