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A007639 Primes of form 2n^2 - 2n + 19.
(Formerly M5070)
3

%I M5070

%S 19,23,31,43,59,79,103,131,163,199,239,283,331,383,439,499,563,631,

%T 859,1031,1123,1319,1423,1531,1759,1879,2003,2131,2399,2539,2683,3299,

%U 3463,3631,3803,4159,4723,4919,5119,5323,5531,5743,6863,7583,8599

%N Primes of form 2n^2 - 2n + 19.

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

%H Vincenzo Librandi, <a href="/A007639/b007639.txt">Table of n, a(n) for n = 1..1000</a>

%H H. Dubner, <a href="/A005849/a005849.pdf">Generalized Cullen numbers</a>, J. Rec. Math., 21 (No. 3, 1989), 190-191. (Annotated scanned copy)

%F 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

%t Select[Table[2n^2-2n+19,{n,90}],PrimeQ] (* _Harvey P. Dale_, Dec 19 2011 *)

%o (MAGMA) [a: n in [1..60] | IsPrime(a) where a is 2*n^2-2*n+19]; // _Vincenzo Librandi_, Mar 20 2013

%Y Cf. A139827.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, _Mira Bernstein_, _Robert G. Wilson v_

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Last modified June 22 21:29 EDT 2021. Contains 345393 sequences. (Running on oeis4.)