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URL: https://oeis.org/A253143

⇱ A253143 - OEIS

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A253143
Numbers n such that n + 15, n^2 + 15 and n^3 + 15 are prime.
2
2, 4, 16, 22, 32, 44, 86, 88, 98, 298, 316, 452, 602, 638, 658, 736, 862, 868, 896, 1276, 1358, 1586, 1768, 1996, 2342, 2366, 2444, 2452, 2542, 2788, 2902, 3242, 3448, 3704, 3718, 3998, 4376, 4552, 4928, 5422, 5504, 5566, 5608, 5644, 5728, 5768, 5776, 6664, 6934, 6946, 7708, 7858
OFFSET
1,1
EXAMPLE
With n=2, n+15 (17), n^2+15 (19) and n^3+15 (23) are all prime.
MATHEMATICA
p = 15; Select[Range[2, 20000, 2], PrimeQ[p + #^3] && PrimeQ[p + #^2] && PrimeQ[p + #] &]
Select[Range[2, 8000, 2], AllTrue[#^Range[3]+15, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Nov 29 2018 *)
PROG
(PARI) isok(n) = isprime(n+15) && isprime(n^2 + 15) && isprime(n^3 + 15); \\ Michel Marcus, Dec 28 2014
CROSSREFS
Subsequence of A253142, A086303 and A121982.
Sequence in context: A076434 A192150 A049441 * A193868 A256788 A324211
KEYWORD
nonn
AUTHOR
Zak Seidov, Dec 27 2014
STATUS
approved