A162905 Primes of form p^2-6, p also a prime.

3, 19, 43, 163, 283, 523, 2203, 2803, 4483, 5323, 6883, 9403, 11443, 12763, 27883, 37243, 38803, 69163, 85843, 100483, 134683, 139123, 146683, 208843, 214363, 218083, 237163, 253003, 310243, 351643, 368443, 413443, 418603, 452923, 458323

Offset

1,1

Links

Table of n, a(n) for n=1..35.

Formula

a(n) = (A137270(n))^2-6.

Mathematica

f[n_]:=n^2-6; lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, f[p]]], {n, 7!}]; lst
#^2-6&/@Select[Prime[Range[2, 200]], PrimeQ[#^2-6]&] (* Harvey P. Dale, May 21 2021 *)

Crossrefs

Sequence in context: A100694 A146664 A028880 * A201875 A063553 A099007

Adjacent sequences: A162902 A162903 A162904 * A162906 A162907 A162908

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jul 16 2009

Extensions

Cross-reference turned into formula by R. J. Mathar, Jul 27 2009

Status

approved