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%I #14 Sep 08 2022 08:45:39
%S 5,271,421,449,1151,1399,1579,2579,3109,4349,7759,9631,9839,11161,
%T 11369,12391,12799,13109,13411,14281,15359,15439,16361,16661,19429,
%U 19961,20369,21391,22469,25121,25339,27581,31271,36749,43399,44059,48119
%N Primes p such that p^3 - 12 and p^3 + 12 are also primes.
%H Harvey P. Dale, <a href="/A153322/b153322.txt">Table of n, a(n) for n = 1..1000</a>
%t fQ[n_]:=PrimeQ[n^3-12]&&PrimeQ[n^3+12];lst={};Do[If[fQ@Prime[n],AppendTo[lst,Prime[n]]],{n,8!}];lst
%t Select[Prime[Range[5000]],AllTrue[#^3+{12,-12},PrimeQ]&] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, May 16 2020 *)
%o (Magma) [p: p in PrimesUpTo(50000)|IsPrime(p^3-12) and IsPrime(p^3+12)] // _Vincenzo Librandi_, Jan 30 2011
%Y Cf. A153116, A153119, A153120, A153320, A153321.
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Dec 23 2008
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