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Proth primes of the form 13•2n+1

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Current data

k , b : 13 , 2
Type : Low
Count : 28
Nash : 920
Max n : 9,000,000
Date : 2023-10-11
2[1], 8[2], 10[3], 20[4], 28[5], 82[6], 188[7], 308[8], 316[9], 1000[10], 28280[11], 38008[12], 43856[13], 88018[14], 109258[15], 114296[16], 521306[17], 562456[18], 684560[19], 1038896[20], 1499876[21], 1861732[22], 4998362[23], 5523860[24], 6481780[25], 8989858[26], 15294536[27], 16828072[28]
Remarks :
The sequence A032356 in OEIS

Notes

  1. ↑ Is GF Divisor of xGF(1,12,11)
  2. ↑ Is GF Divisor of xGF(7,6,5) [+2]
  3. ↑ Is GF Divisor of GF(9,7) [+2]
  4. ↑ Is GF Divisor of F(18) [+8]
  5. ↑ Is GF Divisor of xGF(27,5,3) [+2], Near Cullen 26•227+1
  6. ↑ Is GF Divisor of GF(81,10)
  7. ↑ Is GF Divisor of xGF(187,5,3) [+6]
  8. ↑ Is GF Divisor of GF(307,12)
  9. ↑ Is GF Divisor of xGF(315,6,5) [+1]
  10. ↑ Is GF Divisor of GF(999,3) [+3]
  11. ↑ Is GF Divisor of xGF(28278,9,2)
  12. ↑ Is GF Divisor of xGF(38005,7,6) [+2]
  13. ↑ Is GF Divisor of xGF(43853,5,4) [+2]
  14. ↑ Is GF Divisor of xGF(88017,11,4) [+1]
  15. ↑ Is GF Divisor of xGF(109256,5,3) [+2]
  16. ↑ Is GF Divisor of F(114293) [+5]
  17. ↑ Is GF Divisor of xGF(521305,4,3) [+1]
  18. ↑ Is GF Divisor of GF(562454,5) [+1]
  19. ↑ Is GF Divisor of xGF(684559,5,3) [+5]
  20. ↑ Is GF Divisor of xGF(1038895,5,3) [+1]
  21. ↑ Is GF Divisor of GF(1499875,3) [+5]
  22. ↑ Is GF Divisor of GF(1861731,6) [+2]
  23. ↑ Is GF Divisor of xGF(4998361,5,2) [+2]
  24. ↑ Is GF Divisor of F(5523858) [+6]
  25. ↑ Is GF Divisor of xGF(6481774,5,2) [+5]
  26. ↑ Is GF Divisor of xGF(8989854,6,5) [+3]
  27. ↑ Is GF Divisor of xGF(15294533,9,2) [+1]
  28. ↑ Is GF Divisor of xGF(16828071,7,2) [+4]

History

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