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Proth primes of the form 21•2n+1

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Current data

k , b : 21 , 2
Type : 3
Count : 48
Nash : 2374
Max n : 9,000,000
Date : 2021-04-01
1[1], 4[2], 5[3], 7[4], 9[5], 12[6], 16[7], 17[8], 41[9], 124[10], 128[11], 129[12], 187[13], 209[14], 276[15], 313, 397[16], 899[17], 1532[18], 1613[19], 1969[20], 2245[21], 2733[22], 4585[23], 4644[24], 6712, 6981[25], 13344[26], 17524[27], 27124[28], 29769[29], 47337[30], 55828[31], 91008[32], 94801[33], 164901[34], 179457, 191337[35], 200568[36], 220992[37], 686632[38], 856865[39], 1022168[40], 1240067[41], 1421741[42], 1830919[43], 3065701[44], 6048861[45]
Remarks :
The sequence A032360 in OEIS

Notes

  1. ↑ Twin n=1
  2. ↑ Is GF Divisor of xGF(3,11,7)
  3. ↑ Is GF Divisor of GF(3,8) [+2]
  4. ↑ Is GF Divisor of xGF(5,7,5) [+2], Twin n=7
  5. ↑ Is GF Divisor of GF(8,10) [+1]
  6. ↑ Is GF Divisor of xGF(11,10,9) [+2]
  7. ↑ Is GF Divisor of xGF(12,7,4) [+1]
  8. ↑ Is GF Divisor of xGF(14,3,2) [+2]
  9. ↑ Is GF Divisor of F(39) [+29]
  10. ↑ Is GF Divisor of GF(120,8) [+1]
  11. ↑ Is GF Divisor of GF(126,8)
  12. ↑ Is GF Divisor of xGF(128,7,5)
  13. ↑ Is GF Divisor of xGF(182,6,5) [+5]
  14. ↑ Is GF Divisor of xGF(207,8,3) [+1]
  15. ↑ Is GF Divisor of F(268) [+1]
  16. ↑ Is GF Divisor of xGF(396,7,5) [+2]
  17. ↑ Is GF Divisor of xGF(897,9,5)
  18. ↑ Is GF Divisor of GF(1530,8) [+1]
  19. ↑ Is GF Divisor of xGF(1608,7,2) [+3]
  20. ↑ Is GF Divisor of GF(1966,3) [+5]
  21. ↑ Is GF Divisor of xGF(2244,11,6)
  22. ↑ Is GF Divisor of xGF(2731,3,2) [+7]
  23. ↑ Is GF Divisor of GF(4582,8)
  24. ↑ Is GF Divisor of GF(4642,6) [+1]
  25. ↑ Is GF Divisor of xGF(6980,5,2) [+5]
  26. ↑ Is GF Divisor of xGF(13343,5,4)
  27. ↑ Is GF Divisor of xGF(17523,11,4)
  28. ↑ Is GF Divisor of xGF(27121,3,2) [+1]
  29. ↑ Is GF Divisor of GF(29767,7) [+2]
  30. ↑ Is GF Divisor of xGF(47331,9,8) [+1]
  31. ↑ Is GF Divisor of GF(55826,8) [+1]
  32. ↑ Is GF Divisor of xGF(91006,9,7) [+1]
  33. ↑ Is GF Divisor of F(94798)
  34. ↑ Is GF Divisor of xGF(164897,7,6) [+2]
  35. ↑ Is GF Divisor of xGF(191336,7,5) [+2]
  36. ↑ Is GF Divisor of xGF(200565,11,4)
  37. ↑ Is GF Divisor of xGF(220991,5,4) [+1]
  38. ↑ Is GF Divisor of xGF(686629,3,2)
  39. ↑ Is GF Divisor of xGF(856860,4,3) [+3]
  40. ↑ Is GF Divisor of GF(1022165,8) [+2]
  41. ↑ Is GF Divisor of xGF(1240064,3,2) [+5]
  42. ↑ Is GF Divisor of GF(1421740,11) [+1]
  43. ↑ Is GF Divisor of xGF(1830917,9,7)
  44. ↑ Is GF Divisor of xGF(3065699,9,7) [+1]
  45. ↑ Is GF Divisor of GF(6048860,5) [+4]

History

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