A194216 Primes of the form k^32 + (k+1)^32.

3512911982806776822251393039617, 2211377674535255285545615254209921, 476961452964007550415682034114910337, 46677208572152524490331633250547044320123137

Offset

1,1

Comments

Prime 32-dimensional centered cube numbers. This is to dimension 32 as A194185 is to dimension 16; as A194155 is to dimension 8; and as A152913 is to dimension 4.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..2000

Example

a(1) = 8^32 + (8 + 1)^32 = A100267(2).
a(2) = 10^32 + (10 + 1)^32 = A100267(3) = A176935(2).
a(3) = 12^32 + (12 + 1)^32 = A100267(4).
a(4) = 22^32 + (22 + 1)^32.

Mathematica

Select[Table[n^32+(n+1)^32, {n, 1, 3000}], PrimeQ] (* Vincenzo Librandi, Dec 08 2011 *)

Prog

(Magma) [a: n in [1..200] | IsPrime(a) where a is n^32+(n+1)^32]; // Vincenzo Librandi, Dec 08 2011

Crossrefs

Cf. A000040, A100267, A154535, A100266, A152913, A194155, A194185.

Sequence in context: A095454 A261700 A194566 * A058446 A292635 A095456

Adjacent sequences: A194213 A194214 A194215 * A194217 A194218 A194219

Keyword

nonn,easy

Author

Jonathan Vos Post, Aug 18 2011

Status

approved