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Proth primes of the form 2•3n+1

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Revision as of 11:06, 18 April 2023 by Karbon (talk | contribs) (note)
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Current data

k , b : 2 , 3
Count : 47
Nash : 2729
Max n : 0
Date : 2023-01-08
1[1], 2, 4[2], 5[3], 6[4], 9[5], 16, 17[6], 30, 54, 57[7], 60, 65[8], 132, 180, 320, 696, 782, 822, 897[9], 1252, 1454, 4217[10], 5480, 6225[11], 7842, 12096, 13782, 17720, 43956, 64822, 82780, 105106, 152529[12], 165896, 191814, 529680, 1074726, 1086112, 1175232, 1277862, 1346542, 3123036, 3648969[13], 5570081[14], 6236772, 10852677[15]
Remarks :
The sequence A003306 in OEIS
No reliable search limit available!

Notes

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

History