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.
%I A253237 #35 Feb 16 2025 08:33:24 %S A253237 8,25,125,121,27,0,32761,97336,64000,2187,3364,2197,4900,0,1295029, %T A253237 128,143384152904,343,503284356,196,100,2187,2025,542939080312,144, %U A253237 6436343,216,131044,196,6859,225,7744,256,0,1296,1728,14348907,1331,10609,2704,400,0,441,125,9216 %N A253237 Conjectured largest perfect power k such that k+n is also a perfect power, or 0 if no such k exists. %C A253237 Only a(1) is proven, all other terms (even including a(2)) are only conjectured. %C A253237 These terms are searched up to 10^18, and no terms are greater than 10^12. %C A253237 a(n) = A103953(n) for n in A076438. %C A253237 See A076427 for further information. - _M. F. Hasler_, Apr 09 2015 %H A253237 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PillaisConjecture.html">Pillai's Conjecture</a>. %H A253237 Wikipedia, <a href="http://www.wikipedia.org/wiki/Catalan%27s_conjecture">Catalan's conjecture</a>. %H A253237 Wikipedia, <a href="https://www.wikipedia.org/wiki/Hall%27s_conjecture">Hall's conjecture</a>. %F A253237 a(A074981(n)) = 0. %Y A253237 Cf. A001597, A074981, A076427, A076438, A103953. %K A253237 nonn,hard,nice %O A253237 1,1 %A A253237 _Eric Chen_, Apr 04 2015