A007639 Primes of form 2n^2 - 2n + 19. (Formerly M5070)

19, 23, 31, 43, 59, 79, 103, 131, 163, 199, 239, 283, 331, 383, 439, 499, 563, 631, 859, 1031, 1123, 1319, 1423, 1531, 1759, 1879, 2003, 2131, 2399, 2539, 2683, 3299, 3463, 3631, 3803, 4159, 4723, 4919, 5119, 5323, 5531, 5743, 6863, 7583, 8599

Offset

1,1

References

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

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

Formula

The primes are congruent to {2, 15, 19, 23, 31, 35, 39, 43, 51, 55, 59, 79, 87, 91, 103, 119, 131, 135, 143} (mod 148). - T. D. Noe, May 02 2008

Mathematica

Select[Table[2n^2-2n+19, {n, 90}], PrimeQ] (* Harvey P. Dale, Dec 19 2011 *)

Prog

(Magma) [a: n in [1..60] | IsPrime(a) where a is 2*n^2-2*n+19]; // Vincenzo Librandi, Mar 20 2013

Crossrefs

Cf. A139827.

Sequence in context: A348935 A019360 A269666 * A261311 A168144 A108271

Adjacent sequences: A007636 A007637 A007638 * A007640 A007641 A007642

Keyword

nonn,easy

Author

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

Status

approved