A153321 - OEIS

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A153321

Primes p such that p^2 - 60 and p^2 + 60 are also primes.

7, 11, 13, 17, 41, 83, 109, 127, 151, 193, 223, 409, 619, 673, 701, 769, 809, 839, 1439, 1571, 1693, 1721, 2311, 2593, 2659, 2741, 2969, 3037, 3041, 3221, 3331, 3343, 3389, 3727, 3767, 3833, 4703, 4733, 4861, 4871, 4931, 5167, 5209, 5261, 5387, 5393, 5407

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..47.

MATHEMATICA

fQ[n_]:=PrimeQ[n^2-60]&&PrimeQ[n^2+60]; lst={}; Do[If[fQ@Prime[n], AppendTo[lst, Prime[n]]], {n, 7!}]; lst

p260Q[n_]:=Module[{c=n^2}, And@@PrimeQ[{c-60, c+60}]]; Select[Prime[Range[ 800]], p260Q] (* Harvey P. Dale, Mar 06 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(5000)|IsPrime(p^2-60) and IsPrime(p^2+60)] // Vincenzo Librandi, Jan 30 2011

CROSSREFS

Cf. A153116, A153119, A153320.