Proth primes of the form 7•2n+1

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Current data

k-value : 7
Count : 40
Nash : 2144
Max n : 6,000,000
Date : 2008-11-14
2, 4, 6[1], 14[2], 20[3], 26, 50[4], 52[5], 92[6], 120[7], 174[8], 180[9], 190, 290[10], 320[11], 390[12], 432[13], 616[14], 830[15], 1804[16], 2256, 6614[17], 13496, 15494, 16696[18], 22386[19], 54486[20], 88066, 95330[21], 207084, 283034, 561816[22], 804534[23], 811230[24], 1491852[25], 2139912[26], 2167800[27], 2915954[28], 3015762, 3511774[29]

Notes

  1. Divides: GF(4,10)
  2. Divides: F(12)
  3. Divides: GF(19,5)
  4. Divides: GF(49,3)
  5. Divides: GF(51,12)
  6. Divides: GF(91,12)
  7. Divides: F(117)
  8. Divides: GF(171,5)
  9. Divides: GF(179,10)
  10. Divides: F(284)
  11. Divides: F(316), GF(319,3), GF(319,6), GF(319,12)
  12. Divides: GF(389,6)
  13. Divides: GF(431,6)
  14. Divides: GF(615,10)
  15. Divides: GF(828,5), GF(829,6)
  16. Divides: GF(1803,5), GF(1803,12)
  17. Divides: GF(6612,10)
  18. Divides: GF(16695,5)
  19. Divides: GF(22385,6)
  20. Divides: GF(54485,3)
  21. Divides: F(95328), GF(95329,3), GF(95329,6), GF(95329,12)
  22. Divides: GF(561815,5), GF(561815,6)
  23. Divides: GF(804533,12)
  24. Divides: GF(811228,5)
  25. Divides: GF(1491851,6)
  26. Divides: GF(2139911,12)
  27. Divides: F(2167797), GF(2167799,5), GF(2167799,10)
  28. Divides: GF(2915953,12)
  29. Divides: GF(3511773,6)