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Proth primes of the form 289•2n+1

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Current data

k , b : 289 , 2
Type : Low
Count : 21
Nash : 990
Max n : 5,000,000
Date : 2024-04-30
10, 22, 34[1], 42[2], 150[3], 1758, 6706, 11634, 18502[4], 52614, 102150, 194830, 207546, 252858, 333406, 638902, 989182[5], 1117182, 1317378, 1522650, 4911870
Remarks :
All primes are also Generalized Fermat primes.

Notes

  1. ↑ Is GF Divisor of xGF(31,10,3)
  2. ↑ Is GF Divisor of xGF(41,11,8)
  3. ↑ Is GF Divisor of xGF(148,12,5)
  4. ↑ Cullen, Cullen 18496•218496+1
  5. ↑ Is GF Divisor of xGF(989181,3,2)

History

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