A088758 Numbers k such that (4*k + 1)^2 + (4*k + 2)^2 is prime.

0, 1, 2, 4, 6, 7, 16, 17, 21, 24, 27, 34, 37, 39, 46, 47, 54, 56, 57, 71, 72, 74, 87, 89, 92, 97, 102, 109, 119, 122, 126, 131, 136, 137, 144, 146, 147, 152, 156, 162, 164, 176, 177, 182, 187, 189, 191, 204, 211, 214, 221, 226, 232, 234, 237, 239, 254, 256, 261, 267

Offset

1,3

Comments

Numbers k such that 32*k^2 + 24*k + 5 is prime. - Vincenzo Librandi, Dec 11 2011

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Mathematica

Select[Range[0, 9000], PrimeQ[32#^2+24#+5]&] (* Vincenzo Librandi, Dec 11 2011 *)

Prog

(Magma) [n: n in [0..300] | IsPrime((4*n+1)^2 + (4*n+2)^2)]; // Vincenzo Librandi, Dec 11 2011
(PARI) is(n)=isprime((4*n+1)^2+(4*n+2)^2) \\ Charles R Greathouse IV, Jun 05 2017

Crossrefs

Cf. A087871.

Sequence in context: A050053 A272634 A084591 * A105176 A061937 A065804

Adjacent sequences: A088755 A088756 A088757 * A088759 A088760 A088761

Keyword

nonn,easy

Author

Ray Chandler, Oct 19 2003

Extensions

a(1)=0 inserted by Vincenzo Librandi, Dec 11 2011

Status

approved