cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A132215 Numbers that are sums of eighth powers of two distinct primes.

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%I A132215 #8 Jun 27 2017 10:30:48
%S A132215 6817,390881,397186,5765057,5771362,6155426,214359137,214365442,
%T A132215 214749506,220123682,815730977,815737282,816121346,821495522,
%U A132215 1030089602,6975757697,6975764002,6976148066,6981522242,7190116322,7791488162
%N A132215 Numbers that are sums of eighth powers of two distinct primes.
%C A132215 This is to 8th powers as A132214 is to 7th powers, A130555 is to 6th powers, A130292 is to fifth powers, A130873 is to 4th powers and A120398 is to cubes. These CAN be prime, as the polynomial x^8 + y^8 is irreducible over Z, as seen in A132216. The first such example is a(11) = A132216(1) = 2^8 + 13^8 = 256 + 815730721 = 815730977, which is prime.
%C A132215 A subset of A003380. - _R. J. Mathar_, May 11 2008
%F A132215 {A001016(A000040(i)) + A001016(A000040(j)) for i > j}.
%e A132215 a(1) = 2^8 + 3^8 = 256 + 6561 = 6817 = 17 * 401.
%t A132215 Select[Sort[ Flatten[Table[Prime[n]^8 + Prime[k]^8, {n, 15}, {k, n - 1}]]], # <= Prime[15^8] &]
%t A132215 Total/@Subsets[Prime[Range[10]]^8,{2}]//Sort (* _Harvey P. Dale_, Jun 27 2017 *)
%Y A132215 Cf. A000040, A001016, A050997, A120398, A122616, A130873, A130555, A132214, A132216.
%K A132215 easy,nonn
%O A132215 1,1
%A A132215 _Jonathan Vos Post_, Aug 13 2007