

A007639


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


2



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
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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^22*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^22n+19, {n, 90}], PrimeQ] (* Harvey P. Dale, Dec 19 2011 *)


PROG

(MAGMA) [a: n in [1..60]  IsPrime(a) where a is 2*n^22*n+19]; // Vincenzo Librandi, Mar 20 2013


CROSSREFS

Cf. A139827.
Sequence in context: A217281 A019360 A269666 * A261311 A108271 A245585
Adjacent sequences: A007636 A007637 A007638 * A007640 A007641 A007642


KEYWORD

nonn,easy


AUTHOR

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


STATUS

approved



