A194216 - OEIS

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A194216

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

3512911982806776822251393039617, 2211377674535255285545615254209921, 476961452964007550415682034114910337, 46677208572152524490331633250547044320123137

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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