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A194155 Primes of the form k^8 + (k+1)^8. 12
257, 2070241, 17995718017, 188386299457, 2505920246017, 3192202523137, 5072985298081, 11905609260481, 21370852274017, 766108283826337, 970961614082017, 2348771079002657, 2887223180589697, 9007197376151521, 55110306149736577, 77802445498340417 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime 8-dimensional centered cube numbers. This is to dimension 8 as A152913 is to dimension 4.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

EXAMPLE

a(2) = 5^8 + (5+1)^8 = 2070241 is prime.

a(3) = 17^8 + (17+1)^8.

a(4) = 23^8 + (23+1)^8.

a(5) = 32^8 + (32+1)^8.

a(6) = 33^8 + (33+1)^8.

MATHEMATICA

Select[Table[n^8+(n+1)^8, {n, 0, 900}], PrimeQ] (* Vincenzo Librandi, Dec 07 2011 *)

PROG

(MAGMA) [ a: n in [0..200] | IsPrime(a) where a is n^8+(n+1)^8 ];  // Vincenzo Librandi, Dec 07 2011

CROSSREFS

Cf. A000040, A153504, A152913.

Sequence in context: A103349 A291506 A275098 * A238614 A308672 A308675

Adjacent sequences:  A194152 A194153 A194154 * A194156 A194157 A194158

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post, Aug 17 2011

STATUS

approved

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Last modified January 28 13:19 EST 2020. Contains 331321 sequences. (Running on oeis4.)