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Proth primes of the form 7•2n+1

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Current data

k , b : 7 , 2
Count : 43
Nash : 2144
Max n : 9,000,000
Date : 2022-07-21
2[1], 4[2], 6[3], 14[4], 20[5], 26[6], 50[7], 52[8], 92[9], 120[10], 174[11], 180[12], 190[13], 290[14], 320[15], 390[16], 432[17], 616[18], 830[19], 1804[20], 2256[21], 6614[22], 13496[23], 15494[24], 16696[25], 22386[26], 54486[27], 88066[28], 95330[29], 207084[30], 283034[31], 561816[32], 804534[33], 811230[34], 1491852[35], 2139912[36], 2167800[37], 2915954[38], 3015762[39], 3511774[40], 5775996[41], 18233956[42], 20267500[43]
Remarks :
The sequence A032353 in OEIS
See also Williams 7•8n+1

Notes

  1. ↑ Is GF Divisor of xGF(1,5,2) [+3]
  2. ↑ Is GF Divisor of xGF(2,6,5) [+4]
  3. ↑ Is GF Divisor of xGF(4,7,2) [+6], Near Cullen 7•26+1, Williams 7•82+1
  4. ↑ Is GF Divisor of F(12) [+6], Cullen 7•47+1, Near Cullen 14•213+1
  5. ↑ Is GF Divisor of xGF(19,3,2) [+8], S.G. n=20
  6. ↑ Is GF Divisor of xGF(25,4,3) [+5]
  7. ↑ Is GF Divisor of GF(49,3) [+3]
  8. ↑ Is GF Divisor of xGF(51,7,5) [+5]
  9. ↑ Is GF Divisor of xGF(91,5,2) [+5]
  10. ↑ Is GF Divisor of F(117) [+4], Williams 7•840+1
  11. ↑ Is GF Divisor of GF(171,5) [+6], Williams 7•858+1
  12. ↑ Is GF Divisor of xGF(176,7,4) [+4], Williams 7•860+1
  13. ↑ Is GF Divisor of xGF(189,4,3) [+5]
  14. ↑ Is GF Divisor of F(284) [+4]
  15. ↑ Is GF Divisor of F(316) [+16]
  16. ↑ Is GF Divisor of GF(389,6) [+4], S.G. n=390, Williams 7•8130+1
  17. ↑ Is GF Divisor of GF(431,6) [+4], Williams 7•8144+1
  18. ↑ Is GF Divisor of GF(610,7) [+5]
  19. ↑ Is GF Divisor of GF(828,5) [+5]
  20. ↑ Is GF Divisor of GF(1803,5) [+6]
  21. ↑ Is GF Divisor of xGF(2255,4,3) [+5], Williams 7•8752+1
  22. ↑ Is GF Divisor of xGF(6613,3,2) [+3]
  23. ↑ Is GF Divisor of xGF(13495,3,2) [+5]
  24. ↑ Is GF Divisor of xGF(15493,3,2) [+4]
  25. ↑ Is GF Divisor of GF(16695,5) [+4]
  26. ↑ Is GF Divisor of GF(22385,6) [+4], Williams 7•87462+1
  27. ↑ Is GF Divisor of GF(54485,3) [+7], Williams 7•818162+1
  28. ↑ Is GF Divisor of xGF(88065,3,2) [+6]
  29. ↑ Is GF Divisor of F(95328) [+25]
  30. ↑ Is GF Divisor of xGF(207083,4,3) [+4], Williams 7•869028+1
  31. ↑ Is GF Divisor of xGF(283033,6,5) [+4]
  32. ↑ Is GF Divisor of GF(561815,5) [+3], Williams 7•8187272+1
  33. ↑ Is GF Divisor of xGF(804531,5,4) [+4], Williams 7•8268178+1
  34. ↑ Is GF Divisor of GF(811228,5) [+5], Williams 7•8270410+1
  35. ↑ Is GF Divisor of GF(1491851,6) [+5], Williams 7•8497284+1
  36. ↑ Is GF Divisor of xGF(2139911,5,2) [+5], Williams 7•8713304+1
  37. ↑ Is GF Divisor of F(2167797) [+11], Williams 7•8722600+1
  38. ↑ Is GF Divisor of xGF(2915951,5,2) [+6]
  39. ↑ Is GF Divisor of xGF(3015759,5,2) [+3], Williams 7•81005254+1
  40. ↑ Is GF Divisor of GF(3511773,6) [+5]
  41. ↑ Is GF Divisor of xGF(5775995,5,4) [+4], Williams 7•81925332+1
  42. ↑ Is GF Divisor of F(18233954) [+9]
  43. ↑ Is GF Divisor of xGF(20267499,7,6) [+6]

History

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