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A007639 Primes of form 2n^2 - 2n + 19.
(Formerly M5070)
1
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 (list; graph; refs; listen; history; text; internal format)
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

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

Clear[f, lst, a, n]; f[n_]:=2*n^2-2*n+19; lst={}; Do[If[PrimeQ[a=f[n]], AppendTo[lst, a]], {n, 6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 05 2009 *)

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: A217281 A168670 A019360 * A108271 A245585 A060269

Adjacent sequences:  A007636 A007637 A007638 * A007640 A007641 A007642

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified October 23 00:45 EDT 2014. Contains 248411 sequences.