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Proth primes of the form 2•3n+1

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Current data

k , b : 2 , 3
Count : 48
Nash : 2729
Max n : 2,000,000
Date : 2024-09-14
1[1], 2[2], 4[3], 5[4], 6[5], 9[6], 16, 17[7], 30, 54, 57[8], 60, 65[9], 132, 180, 320, 696, 782, 822, 897[10], 1252, 1454, 4217[11], 5480, 6225[12], 7842, 12096, 13782, 17720, 43956, 64822, 82780, 105106, 152529[13], 165896, 191814, 529680, 1074726, 1086112, 1175232, 1277862, 1346542, 3123036, 3648969[14], 5570081[15], 6236772, 10852677[16], 11879700
Remarks :
The sequence A003306 in OEIS
See also Williams 2•3n+1

Notes

  1. ↑ Twin n=1, Divides Phi(3^1,2)
  2. ↑ Twin n=2, Cullen 2•32+1
  3. ↑ Cullen 2•92+1
  4. ↑ Divides Phi(3^5,2)
  5. ↑ Cullen 2•272+1
  6. ↑ Divides Phi(3^7,2)
  7. ↑ Divides Phi(3^15,2)
  8. ↑ Divides Phi(3^56,2), Cullen 54•354+1
  9. ↑ Divides Phi(3^65,2)
  10. ↑ Divides Phi(3^896,2)
  11. ↑ Divides Phi(3^4217,2)
  12. ↑ Divides Phi(3^6223,2)
  13. ↑ Divides Phi(3^152528,2)
  14. ↑ Divides Phi(3^3648964,2)
  15. ↑ Divides Phi(3^5570081,2)
  16. ↑ Divides Phi(3^10852674,2)

History

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