A126893 Numbers k such that k^6 + 82991 is prime.

7980, 8526, 11676, 18774, 26754, 31584, 34314, 34650, 43134, 51576, 64176, 65184, 65730, 65856, 70224, 71190, 71316, 76650, 78834, 79506, 81564, 84294, 91266, 92904, 96096, 96894, 105294, 110376, 111090, 113484, 117684, 118146, 118566

Offset: 1

Author

Artur Jasinski, Dec 31 2006

Keywords

• nonn

References

• Ribenboim P., 1996. The Little Book of Big Primes. Springer Verlag.

Crossrefs

Cf. A066386, A126894, A126895.

Programs

Magma

[n: n in [0..200] | IsPrime(n^6+82991)] // Vincenzo Librandi, Nov 23 2010

Mathematica

a = {}; Do[If[PrimeQ[x^6 + 82991], AppendTo[a, x]], {x, 7978, 40000}]; a
Select[ Range@119000, PrimeQ[#^6 + 82991] &] (* Robert G. Wilson v, Jan 21 2018 *)

PARI

is(n)=isprime(n^6+82991) \\ Charles R Greathouse IV, Feb 17 2017