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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 : 2,000,000
Date : 2024-09-06
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. Jump up Twin n=2
  2. Jump up Is GF Divisor of xGF(2,11,3), Twin n=4
  3. Jump up Is GF Divisor of GF(18,5)
  4. Jump up Is GF Divisor of xGF(17,11,5)
  5. Jump up Is GF Divisor of xGF(20,9,5)
  6. Jump up Is GF Divisor of xGF(24,5,3) [+1]
  7. Jump up Is GF Divisor of xGF(39,10,9) [+1]
  8. Jump up Is GF Divisor of xGF(43,12,5)
  9. Jump up Is GF Divisor of xGF(43,9,5)
  10. Jump up Is GF Divisor of GF(45,8) [+1]
  11. Jump up Is GF Divisor of xGF(49,11,10)
  12. Jump up Is GF Divisor of xGF(55,7,5) [+3]
  13. Jump up Is GF Divisor of xGF(56,7,4) [+1]
  14. Jump up Is GF Divisor of xGF(62,7,5) [+2]
  15. Jump up Is GF Divisor of xGF(214,10,3) [+2]
  16. Jump up Is GF Divisor of xGF(274,6,5)
  17. Jump up Is GF Divisor of GF(405,7) [+1]
  18. Jump up Is GF Divisor of F(452)
  19. Jump up Is GF Divisor of xGF(1073,9,7) [+1]
  20. Jump up Is GF Divisor of xGF(1089,7,6) [+2]
  21. Jump up Is GF Divisor of xGF(3079,11,3)
  22. Jump up Is GF Divisor of xGF(6416,11,6) [+1]
  23. Jump up Is GF Divisor of xGF(7638,8,5)
  24. Jump up Is GF Divisor of xGF(30499,10,3) [+1]
  25. Jump up Is GF Divisor of xGF(38769,11,10)
  26. Jump up Is GF Divisor of xGF(44161,11,6)
  27. Jump up Is GF Divisor of GF(50695,11)
  28. Jump up Is GF Divisor of xGF(114759,9,7)
  29. Jump up Is GF Divisor of xGF(117783,9,7)
  30. Jump up Is GF Divisor of xGF(153844,10,7)
  31. Jump up Is GF Divisor of xGF(160869,11,3) [+1]
  32. Jump up Is GF Divisor of xGF(178738,5,2) [+3]
  33. Jump up Is GF Divisor of xGF(379879,10,7)
  34. Jump up Is GF Divisor of xGF(405513,7,5) [+3]
  35. Jump up Is GF Divisor of F(672005) [+7]
  36. Jump up Is GF Divisor of xGF(974749,7,5) [+1]
  37. Jump up Is GF Divisor of xGF(1164663,9,7)
  38. Jump up Is GF Divisor of xGF(1476345,11,3)
  39. Jump up Is GF Divisor of xGF(2218063,9,5) [+1]
  40. Jump up Is GF Divisor of xGF(5213634,7,6) [+1]
  41. Jump up Is GF Divisor of xGF(7046830,10,3) [+1]
  42. Jump up Is GF Divisor of F(7963245)
  43. Jump up Is GF Divisor of GF(12184313,8) [+1]

History