A007637 Primes of form 3*k^2 - 3*k + 23. (Formerly M5130)

23, 29, 41, 59, 83, 113, 149, 191, 239, 293, 353, 419, 491, 569, 653, 743, 839, 941, 1049, 1163, 1283, 1409, 1823, 1973, 2129, 2459, 2633, 2999, 3191, 3389, 3593, 3803, 4019, 4241, 4703, 4943, 5189, 5441, 6791, 7079, 7673, 8291, 8609

Offset

1,1

References

Paul Hoffman, Archimedes' Revenge, Penguin Books 1988, pp. 39-40.

Paulo Ribenboim, The Little Book of Bigger Primes, Springer-Verlag NY 2004. See p. 145.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Harvey Dubner, Generalized Cullen numbers, J. Rec. Math., 21 (No. 3, 1989), 190-191. (Annotated scanned copy)

Mathematica

Select[Table[3 n^2 - 3 n + 23, {n, 60}], PrimeQ] (* Vincenzo Librandi, Mar 20 2013 *)

Prog

(Magma) [a: n in [1..60] | IsPrime(a) where a is 3*n^2-3*n+23]; // Vincenzo Librandi, Mar 20 2013

Crossrefs

Cf. A007638.

Sequence in context: A303009 A227757 A227756 * A161723 A085448 A095077

Adjacent sequences: A007634 A007635 A007636 * A007638 A007639 A007640

Keyword

nonn,easy

Author

N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v

Status

approved