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

Author

Jonathan Vos Post, Aug 17 2011

Keywords

• nonn
• easy

Comments

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A000040, A153504, A152913.

Programs

Magma

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

Mathematica

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