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Difference between revisions of "Proth prime 2 33"

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(add Williams prime remark & links to primes)
(add Cullen & near Cullen primes)
 
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25;T:G;C:{{NWi|PP|32|5}}
 
25;T:G;C:{{NWi|PP|32|5}}
 
28;T:G
 
28;T:G
66;T:G
+
66;T:G;C:{{NCu|4|33}}, {{NCu|+|2|65}}
 
93;T:G
 
93;T:G
 
118;T:G
 
118;T:G

Latest revision as of 01:56, 27 September 2024

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

History