%I #15 Sep 08 2022 08:45:39

%S 7,11,13,17,41,83,109,127,151,193,223,409,619,673,701,769,809,839,

%T 1439,1571,1693,1721,2311,2593,2659,2741,2969,3037,3041,3221,3331,

%U 3343,3389,3727,3767,3833,4703,4733,4861,4871,4931,5167,5209,5261,5387,5393,5407

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

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

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

%o (Magma) [p: p in PrimesUpTo(5000)|IsPrime(p^2-60) and IsPrime(p^2+60)] // _Vincenzo Librandi_, Jan 30 2011

%Y Cf. A153116, A153119, A153320.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Dec 23 2008