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A153974
Numbers n such that n^3 - 3 is prime.
12
2, 4, 8, 10, 14, 16, 26, 34, 38, 40, 74, 80, 106, 110, 116, 124, 136, 158, 178, 184, 190, 206, 224, 230, 238, 256, 274, 280, 316, 320, 338, 340, 386, 410, 428, 446, 458, 464, 470, 484, 496, 530, 544, 550, 556, 590, 626, 634, 644, 646, 674, 710, 718, 728, 730
OFFSET
1,1
COMMENTS
2^3 - 3 = 5 is prime, 4^3 - 3 = 61 is prime, ...
LINKS
MATHEMATICA
a[n_]:=n^x-y; lst={}; x=3; y=3; Do[If[PrimeQ[a[n]], AppendTo[lst, n]], {n, 0, 6!}]; lst
Select[Range[2, 1000], PrimeQ[#^3 - 3] &] (* G. C. Greubel, Sep 01 2016 *)
PROG
(Magma) [n: n in [2..500] | IsPrime(n^3-3)] # Vincenzo Librandi, Nov 26 2010
(PARI) is(n)=isprime(n^3-3) \\ Charles R Greathouse IV, Feb 17 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
First two terms 0,1, removed by Zak Seidov, Mar 14 2009
STATUS
approved