A188583 Primes p such that 6*p^3+1 is also prime.

3, 5, 13, 41, 97, 131, 223, 283, 353, 397, 461, 467, 523, 577, 661, 677, 691, 773, 811, 887, 937, 997, 1091, 1223, 1277, 1321, 1447, 1487, 1567, 1571, 1637, 1721, 1741, 1777, 1823, 1861, 2161, 2243, 2273, 2341, 2351, 2357, 2371, 2383, 2467, 2551

Offset

1,1

Links

Bruno Berselli, Table of n, a(n) for n = 1..900

Example

For prime  p = 283,  6*p^3+1 = 135991123  is prime.

Mathematica

Select[Prime[Range[500]], PrimeQ[6#^3+1]&] (* Harvey P. Dale, May 13 2011 *)

Prog

(Magma)  [ p: p in PrimesUpTo(2600) | IsPrime(6*p^3+1) ];

Crossrefs

Cf. A052291, A005384; A007693, A153812.

Sequence in context: A198636 A172023 A271667 * A259932 A178432 A236068

Adjacent sequences: A188580 A188581 A188582 * A188584 A188585 A188586

Keyword

nonn

Author

Bruno Berselli, Apr 22 2011

Status

approved