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Numbers n such that all of n^3+{2,4,6,10}^2 are primes.
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%I #5 Aug 24 2012 16:08:11

%S 1,7,6127,26833,108607,117583,168463,214993,430063,555067,751087,

%T 853237,901147,918787,993043,1076383,1081003,1091113,1392493,1659967,

%U 1737127,1741513,1762387,1810813,2346073,2426557,2644957,2861833,2902117

%N Numbers n such that all of n^3+{2,4,6,10}^2 are primes.

%C Of course n^3+8^2 is not prime.

%t mpQ[n_]:=Module[{t={2,4,6,10}^2},And@@PrimeQ[n^3+t]]; Select[Range[ 3000000],mpQ] (* _Harvey P. Dale_, Aug 24 2012 *)

%K nonn

%O 1,2

%A _Zak Seidov_, Nov 17 2006