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.

A019423 Numbers whose sum of divisors is a fifth power.

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%I A019423 #34 Sep 08 2022 08:44:44
%S A019423 1,21,31,651,889,3210,3498,3710,3882,3910,4310,4922,4982,5182,5457,
%T A019423 5885,6035,6095,6307,6797,7117,7327,7597,24573,27559,71193,82110,
%U A019423 90510,94981,97410,98671,99301,99510,100110,103362,104622,107778,108438,108822
%N A019423 Numbers whose sum of divisors is a fifth power.
%H A019423 Marius A. Burtea, <a href="/A019423/b019423.txt">Table of n, a(n) for n = 1..3648</a> (terms 1..1000 from Donovan Johnson; a(1211) re-indexed and duplicate a(2311) removed by _Georg Fischer_, Mar 21 2022).
%H A019423 Frits Beukers, Florian Luca and Frans Oort, <a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.119.05.373">Power Values of Divisor Sums</a>, The American Mathematical Monthly, Vol. 119, No. 5 (May 2012), pp. 373-380.
%o A019423 (PARI) lista(nn) = {for (i=1, nn, s = sigma(i); if (s == 1 || ispower(s, 5), print1(i, ", ")););} \\ _Michel Marcus_, Jun 12 2013
%o A019423 (Magma) [n:n in [1..10000]| IsPower(SumOfDivisors(n),5)]; // _Marius A. Burtea_, Apr 17 2019
%Y A019423 Cf. A000203, A006532, A019422, A019424, A020477, A048257, A048258.
%K A019423 nonn
%O A019423 1,2
%A A019423 _David W. Wilson_