

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
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OFFSET

1,1


COMMENTS

2^3  3 = 5 is prime, 4^3  3 = 61 is prime, ...


LINKS

Nathaniel Johnston, Table of n, a(n) for n = 1..10000


MATHEMATICA

a[n_]:=n^xy; 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^33)] # Vincenzo Librandi, Nov 26 2010
(PARI) is(n)=isprime(n^33) \\ Charles R Greathouse IV, Feb 17 2017


CROSSREFS

Cf. A028870, A028873, A038599, A108701, A153975.
Sequence in context: A132895 A125499 A240092 * A290476 A189670 A034822
Adjacent sequences: A153971 A153972 A153973 * A153975 A153976 A153977


KEYWORD

nonn


AUTHOR

Vladimir Joseph Stephan Orlovsky, Jan 03 2009


EXTENSIONS

First two terms 0,1, removed by Zak Seidov, Mar 14 2009


STATUS

approved



