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

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%I A194216 #17 Sep 08 2022 08:45:58
%S A194216 3512911982806776822251393039617,2211377674535255285545615254209921,
%T A194216 476961452964007550415682034114910337,
%U A194216 46677208572152524490331633250547044320123137
%N A194216 Primes of the form k^32 + (k+1)^32.
%C A194216 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.
%H A194216 Vincenzo Librandi, <a href="/A194216/b194216.txt">Table of n, a(n) for n = 1..2000</a>
%e A194216 a(1) = 8^32 + (8 + 1)^32 = A100267(2).
%e A194216 a(2) = 10^32 + (10 + 1)^32 = A100267(3) = A176935(2).
%e A194216 a(3) = 12^32 + (12 + 1)^32 = A100267(4).
%e A194216 a(4) = 22^32 + (22 + 1)^32.
%t A194216 Select[Table[n^32+(n+1)^32,{n,1,3000}],PrimeQ] (* _Vincenzo Librandi_, Dec 08 2011 *)
%o A194216 (Magma) [a: n in [1..200] | IsPrime(a) where a is n^32+(n+1)^32]; // _Vincenzo Librandi_, Dec 08 2011
%Y A194216 Cf. A000040, A100267, A154535, A100266, A152913, A194155, A194185.
%K A194216 nonn,easy
%O A194216 1,1
%A A194216 _Jonathan Vos Post_, Aug 18 2011