%I #22 Apr 29 2015 16:15:08
%S 0,1,3,5,29,45,63,65,69,71,83,105,113,123,129,143,153,171,173,189,209,
%T 215,219,231,243,245,249,263,291,299,305,311,341,363,369,395,419,425,
%U 431,435,473,483,491,495,501,503,509,515,533,549,555,561,575,579,639
%N Numbers n such that n^3 + 2 is prime.
%H Zak Seidov, <a href="/A067200/b067200.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = (A144953(n) - 2)^(1/3). - _Zak Seidov_, Sep 16 2013
%t lst={}; Do[If[PrimeQ[n^3+2], AppendTo[lst, n]], {n, 0, 10^3}]; lst (* _Vladimir Joseph Stephan Orlovsky_, Sep 08 2008 *)
%o (PARI) is(n)=isprime(n^3 + 2) \\ _Charles R Greathouse IV_, Apr 29 2015
%Y Cf. A144953.
%Y Other sequences of the type "Numbers n such that n^k + k - 1 is prime": A000040 (k=1), A005574 (k=2), this sequence (k=3), A125259 (k=4), A125260 (k=5), A125261 (k=6), A125262 (k=7), A125263 (k=8), A125264 (k=10), A125265 (k=11).
%K nonn
%O 1,3
%A _Benoit Cloitre_, Feb 19 2002
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