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Proth primes of the form 45•2n+1

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Current data

k , b : 45 , 2
Type : 315
Count : 57
Nash : 2581
Max n : 9,000,000
Date : 2021-04-01
2[1], 9[2], 12[3], 14[4], 23, 24[5], 29[6], 60[7], 189[8], 200, 333, 372[9], 443, 464[10], 801, 1374, 6146[11], 6284[12], 6359, 6923, 12293[13], 16679[14], 18660[15], 19301[16], 29240[17], 32018[18], 38457[19], 48612[20], 56754[21], 67394[22], 76416[23], 79160, 91403[24], 97116, 110303[25], 129731[26], 159318, 202304, 243321, 426653[27], 458712[28], 574506[29], 949353[30], 1086062[31], 1111703[32], 1134357[33], 1365167, 1427666, 1779971[34], 2014557[35], 2347187[36], 2507894[37], 2711732, 3677787[38], 5308037[39], 7513661[40], 7661004[41]
Remarks :
The sequence A032372 in OEIS

Notes

  1. Jump up Twin n=2, Is xGF(1,10,9)
  2. Jump up Twin n=9
  3. Jump up Is GF Divisor of xGF(10,7,6)
  4. Jump up Is GF Divisor of xGF(12,6,5), Twin n=14
  5. Jump up Is GF Divisor of xGF(21,9,7)
  6. Jump up Twin n=29
  7. Jump up Is GF Divisor of GF(58,10)
  8. Jump up Is GF Divisor of xGF(180,8,3), Twin n=189
  9. Jump up Is GF Divisor of GF(370,3)
  10. Jump up Is GF Divisor of xGF(463,7,4)
  11. Jump up Is GF Divisor of xGF(6145,12,11)
  12. Jump up Is GF Divisor of xGF(6282,10,3)
  13. Jump up Is GF Divisor of GF(12290,8)
  14. Jump up Is GF Divisor of GF(16669,5) [+5]
  15. Jump up Is GF Divisor of xGF(18653,9,2) [+1]
  16. Jump up Is GF Divisor of xGF(19299,3,2) [+7]
  17. Jump up Is GF Divisor of xGF(29237,4,3)
  18. Jump up Is GF Divisor of GF(32015,6)
  19. Jump up Is GF Divisor of xGF(38451,4,3) [+2]
  20. Jump up Is GF Divisor of xGF(48609,7,3)
  21. Jump up Is GF Divisor of xGF(56752,5,3)
  22. Jump up Is GF Divisor of xGF(67393,7,3) [+1]
  23. Jump up Is GF Divisor of GF(76414,3) [+1]
  24. Jump up Is GF Divisor of xGF(91398,11,8)
  25. Jump up Is GF Divisor of GF(110301,8)
  26. Jump up Is GF Divisor of xGF(129728,11,8)
  27. Jump up Is GF Divisor of xGF(426651,11,4)
  28. Jump up Is GF Divisor of GF(458709,5) [+3]
  29. Jump up Is GF Divisor of GF(574504,3)
  30. Jump up Is GF Divisor of xGF(949351,11,10)
  31. Jump up Is GF Divisor of xGF(1086061,7,5) [+1]
  32. Jump up Is GF Divisor of xGF(1111700,6,5) [+1]
  33. Jump up Is GF Divisor of xGF(1134355,3,2) [+3]
  34. Jump up Is GF Divisor of xGF(1779967,4,3) [+3]
  35. Jump up Is GF Divisor of xGF(2014553,4,3) [+1]
  36. Jump up Is GF Divisor of xGF(2347181,10,3)
  37. Jump up Is GF Divisor of xGF(2507891,5,3) [+4]
  38. Jump up Is GF Divisor of xGF(3677784,5,3)
  39. Jump up Is GF Divisor of xGF(5308035,5,3)
  40. Jump up Is GF Divisor of xGF(7513657,10,9)
  41. Jump up Is GF Divisor of xGF(7661003,11,5)

History