

A067200


Numbers n such that n^3 + 2 is prime.


20



0, 1, 3, 5, 29, 45, 63, 65, 69, 71, 83, 105, 113, 123, 129, 143, 153, 171, 173, 189, 209, 215, 219, 231, 243, 245, 249, 263, 291, 299, 305, 311, 341, 363, 369, 395, 419, 425, 431, 435, 473, 483, 491, 495, 501, 503, 509, 515, 533, 549, 555, 561, 575, 579, 639
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OFFSET

1,3


LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000


FORMULA

a(n) = (A144953(n)  2)^(1/3).  Zak Seidov, Sep 16 2013


MATHEMATICA

lst={}; Do[If[PrimeQ[n^3+2], AppendTo[lst, n]], {n, 0, 10^3}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 08 2008 *)


PROG

(PARI) is(n)=isprime(n^3 + 2) \\ Charles R Greathouse IV, Apr 29 2015


CROSSREFS

Cf. A144953.
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).
Sequence in context: A141578 A327748 A272345 * A106089 A303971 A136085
Adjacent sequences: A067197 A067198 A067199 * A067201 A067202 A067203


KEYWORD

nonn


AUTHOR

Benoit Cloitre, Feb 19 2002


STATUS

approved



