A153975 Values of n such that n^2-3 and n^2+3 are both prime.

4, 8, 10, 14, 64, 92, 112, 140, 146, 172, 218, 298, 304, 322, 326, 340, 350, 356, 416, 440, 470, 508, 554, 560, 580, 626, 634, 652, 668, 686, 694, 704, 728, 736, 746, 770, 806, 818, 868, 892, 920, 1054, 1082, 1102, 1130, 1156, 1196, 1256, 1264, 1378, 1418

Offset

1,1

Comments

Intersection of A028873 and A049422. - Zak Seidov, Oct 12 2014

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Example

4^2 - 3 = 13 and 4^2 + 3 = 19 are both primes, so 4 is in the sequence.

Mathematica

Select[Range[1500], PrimeQ[#^2 - 3] && PrimeQ[#^2 + 3] &] (* Vincenzo Librandi, Oct 12 2014 *)

Prog

(Magma) [n: n in [1..1400] | IsPrime(n^2-3) and IsPrime(n^2+3)]; // Vincenzo Librandi, Oct 12 2014
(PARI) is(n) = isprime(n^2-3) && isprime(n^2+3); \\ Altug Alkan, Sep 01 2016

Crossrefs

Cf. A028870, A028873, A038599, A049422, A108701, A153974.

Sequence in context: A252662 A310997 A310998 * A334834 A020169 A310999

Adjacent sequences: A153972 A153973 A153974 * A153976 A153977 A153978

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

Extensions

Incorrect term 0 removed and Mma edited by Zak Seidov, Oct 12 2014

Status

approved