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Proth primes of the form 33•2n+1

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Current data

k , b : 33 , 2
Type : 3
Count : 41
Nash : 1960
Max n : 9,000,000
Date : 2021-04-01
1, 6[1], 13[2], 18[3], 21[4], 22[5], 25[6], 28[7], 66[8], 93[9], 118[10], 289[11], 412[12], 453[13], 525[14], 726[15], 828[16], 1420[17], 1630[18], 3076[19], 3118[20], 4452, 4941[21], 5236[22], 6346[23], 9133[24], 13401[25], 14214[26], 18766[27], 37249[28], 42685[29], 47805[30], 61372[31], 74178[32], 600270[33], 922782[34], 1130884[35], 2345001[36], 3176269, 3570132[37], 3649810[38]
Remarks :
The sequence A032366 in OEIS
See also Williams 33•32n+1

Notes

  1. ↑ Is GF Divisor of xGF(5,11,5), Twin n=6
  2. ↑ Is GF Divisor of xGF(12,6,5)
  3. ↑ Is GF Divisor of xGF(17,10,9)
  4. ↑ Is GF Divisor of xGF(20,6,5) [+1]
  5. ↑ Is GF Divisor of xGF(21,10,9) [+2], Twin n=22
  6. ↑ Is GF Divisor of GF(23,8) [+1], Williams 33•325+1
  7. ↑ Is GF Divisor of xGF(26,5,3)
  8. ↑ Is GF Divisor of GF(65,5) [+2], Cullen 33•433+1, Near Cullen 66•265+1
  9. ↑ Is GF Divisor of xGF(92,6,5)
  10. ↑ Is GF Divisor of xGF(114,11,9)
  11. ↑ Is GF Divisor of GF(288,5)
  12. ↑ Is GF Divisor of xGF(410,7,4)
  13. ↑ Is GF Divisor of xGF(452,5,4) [+1]
  14. ↑ Williams 33•32105+1
  15. ↑ Is GF Divisor of xGF(721,10,7)
  16. ↑ Is GF Divisor of GF(826,5) [+1]
  17. ↑ Is GF Divisor of GF(1418,7) [+1], Williams 33•32284+1
  18. ↑ Is GF Divisor of xGF(1629,8,5) [+1], Williams 33•32326+1
  19. ↑ Is GF Divisor of xGF(3072,5,2) [+3]
  20. ↑ Is GF Divisor of GF(3116,7) [+3]
  21. ↑ Is GF Divisor of xGF(4940,11,5)
  22. ↑ Is GF Divisor of xGF(5229,9,7)
  23. ↑ Is GF Divisor of GF(6341,6)
  24. ↑ Is GF Divisor of xGF(9130,3,2)
  25. ↑ Is GF Divisor of GF(13399,8)
  26. ↑ Is GF Divisor of xGF(14212,3,2)
  27. ↑ Is GF Divisor of F(18757) [+5]
  28. ↑ Is GF Divisor of GF(37248,5) [+2]
  29. ↑ Is GF Divisor of xGF(42683,4,3), Williams 33•328537+1
  30. ↑ Is GF Divisor of xGF(47804,11,7), Williams 33•329561+1
  31. ↑ Is GF Divisor of GF(61369,8) [+1]
  32. ↑ Is GF Divisor of xGF(74175,11,4)
  33. ↑ Is GF Divisor of GF(600269,5) [+1], Williams 33•32120054+1
  34. ↑ Is GF Divisor of xGF(922779,7,5) [+3]
  35. ↑ Is GF Divisor of GF(1130881,12)
  36. ↑ Is GF Divisor of xGF(2345000,7,2)
  37. ↑ Is GF Divisor of xGF(3570129,5,4) [+2]
  38. ↑ Is GF Divisor of xGF(3649809,5,2), Williams 33•32729962+1

History

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