A194155 Primes of the form k^8 + (k+1)^8.

257, 2070241, 17995718017, 188386299457, 2505920246017, 3192202523137, 5072985298081, 11905609260481, 21370852274017, 766108283826337, 970961614082017, 2348771079002657, 2887223180589697, 9007197376151521, 55110306149736577, 77802445498340417

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