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Cubes such that cube-+3 are primes.
4

%I #6 Nov 23 2022 17:05:42

%S 8,64,4096,17576,405224,1191016,1906624,6229504,6859000,11239424,

%T 21952000,68921000,103823000,122023936,254840104,267089984,445943744,

%U 449455096,681472000,719323136,1427628376,1710777536,2887553024

%N Cubes such that cube-+3 are primes.

%H Harvey P. Dale, <a href="/A154710/b154710.txt">Table of n, a(n) for n = 1..1000</a>

%t lst={};Do[p=n^3;If[PrimeQ[p-3]&&PrimeQ[p+3],AppendTo[lst,p]],{n,2,8!,2}];lst

%t Select[Range[1500]^3,AllTrue[#+{3,-3},PrimeQ]&] (* _Harvey P. Dale_, Nov 23 2022 *)

%Y Cf. A144938, A154709

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jan 14 2009