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.

A181124 Difference of two positive 5th powers.

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%I A181124 #3 Mar 30 2012 17:22:57
%S A181124 0,31,211,242,781,992,1023,2101,2882,3093,3124,4651,6752,7533,7744,
%T A181124 7775,9031,13682,15783,15961,16564,16775,16806,24992,26281,29643,
%U A181124 31744,32525,32736,32767,40951,42242,51273,55924,58025,58806,59017,59048,61051
%N A181124 Difference of two positive 5th powers.
%C A181124 Because x^5-y^5 = (x-y)(x^4+x^3*y+x^2*y^2+x*y^3+y^4), the difference of two 5th powers is a prime number only if x=y+1, in which case all the primes are in A121616. The number 7744 is the first of an infinite number of squares in this sequence.
%H A181124 T. D. Noe, <a href="/A181124/b181124.txt">Table of n, a(n) for n=1..1000</a>
%t A181124 nn=10^9; p=5; Union[Reap[Do[n=i^p-j^p; If[n<=nn, Sow[n]], {i,Ceiling[(nn/p)^(1/(p-1))]}, {j,i}]][[2,1]]]
%Y A181124 Cf. A024352 (squares), A181123 (cubes), A147857 (4th powers), A181125-A181128 (6th to 9th powers)
%K A181124 nonn
%O A181124 1,2
%A A181124 _T. D. Noe_, Oct 06 2010