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Proth primes of the form 31•2n+1

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Current data

k , b : 31 , 2
Type : Low
Count : 14
Nash : 839
Max n : 9,000,000
Date : 2021-04-01
8[1], 60[2], 68[3], 140[4], 216[5], 416, 1808[6], 1944[7], 9096, 76596, 93168, 4673544[8], 5560820[9], 8348000[10]
Remarks :
The sequence A032365 in OEIS
See also Williams 31•32n+1

Notes

  1. ↑ Is GF Divisor of xGF(7,8,5)
  2. ↑ Williams 31•3212+1
  3. ↑ Is GF Divisor of xGF(67,11,2)
  4. ↑ Is GF Divisor of GF(139,3), Williams 31•3228+1
  5. ↑ Is GF Divisor of xGF(215,7,5) [+1]
  6. ↑ Is GF Divisor of xGF(1806,11,6)
  7. ↑ Is GF Divisor of xGF(1943,10,9)
  8. ↑ Is GF Divisor of GF(4673541,7)
  9. ↑ Is GF Divisor of GF(5560819,6), Williams 31•321112164+1
  10. ↑ Williams 31•321669600+1

History

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