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Proth primes of the form 25•2n+1

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Current data

k , b : 25 , 2
Count : 46
Nash : 2198
Max n : 9,000,000
Date : 2022-09-21
2, 4[1], 6[2], 10[3], 20, 22, 52[4], 64[5], 78[6], 184[7], 232[8], 268, 340[9], 448[10], 554, 664[11], 740[12], 748[13], 1280[14], 1328[15], 1640[16], 3314[17], 3904[18], 3938[19], 5152[20], 9522, 57488[21], 66872[22], 148060[23], 154254[24], 216092[25], 302194[26], 367294[27], 627710[28], 966414[29], 1211488[30], 1258562[31], 1298186, 2141884[32], 2583690, 2927222[33], 3733144[34], 4481024[35], 8456828[36], 8788628[37], 13719266[38]
Remarks :
The sequence A032362 in OEIS
For all n-values 25•2n+1 is a Generalized Fermat number.

Notes

  1. Jump up Is GF Divisor of xGF(3,3,2)
  2. Jump up Is GF Divisor of xGF(4,9,2)
  3. Jump up Is GF Divisor of xGF(8,9,2)
  4. Jump up Is GF Divisor of GF(48,10) [+1], Near Cullen 50•251+1
  5. Jump up Is GF Divisor of xGF(63,6,5)
  6. Jump up Is GF Divisor of xGF(77,3,2) [+2]
  7. Jump up Is GF Divisor of xGF(183,5,3) [+1]
  8. Jump up Is GF Divisor of xGF(230,9,2)
  9. Jump up Is GF Divisor of xGF(338,9,5)
  10. Jump up Is GF Divisor of xGF(439,5,2) [+2]
  11. Jump up Is GF Divisor of xGF(662,7,2) [+1]
  12. Jump up Is GF Divisor of xGF(738,9,8) [+1]
  13. Jump up Is GF Divisor of xGF(742,5,2) [+1]
  14. Jump up Is GF Divisor of xGF(1278,9,8) [+1]
  15. Jump up Is GF Divisor of xGF(1324,12,11)
  16. Jump up Is GF Divisor of xGF(1638,7,3) [+1]
  17. Jump up Is GF Divisor of xGF(3312,11,8)
  18. Jump up Is GF Divisor of GF(3903,6) [+2]
  19. Jump up Is GF Divisor of xGF(3934,12,11)
  20. Jump up Is GF Divisor of GF(5147,10)
  21. Jump up Is GF Divisor of xGF(57484,5,2) [+2]
  22. Jump up Is GF Divisor of xGF(66871,4,3) [+1]
  23. Jump up Is GF Divisor of xGF(148059,7,6) [+1]
  24. Jump up Is GF Divisor of xGF(154252,7,3) [+1]
  25. Jump up Is GF Divisor of xGF(216091,11,10)
  26. Jump up Is GF Divisor of xGF(302187,8,5)
  27. Jump up Is GF Divisor of xGF(367288,8,5)
  28. Jump up Is GF Divisor of xGF(627709,3,2) [+1]
  29. Jump up Is GF Divisor of xGF(966412,11,5)
  30. Jump up Is GF Divisor of GF(1211487,12)
  31. Jump up Is GF Divisor of xGF(1258561,7,2)
  32. Jump up Is GF Divisor of F(2141872) [+5]
  33. Jump up Is GF Divisor of xGF(2927219,7,6) [+1]
  34. Jump up Is GF Divisor of xGF(3733139,8,5) [+1]
  35. Jump up Is GF Divisor of xGF(4481020,8,5) [+1]
  36. Jump up Is GF Divisor of GF(8456827,12)
  37. Jump up Is GF Divisor of xGF(8788627,11,4)
  38. Jump up Is GF Divisor of xGF(13719265,7,5) [+2]

History