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 A386541 #10 Jul 26 2025 14:14:56 %S A386541 27,84,110,133,144 %N A386541 Lander and Parkin's 1966 counterexample to Euler's sum of powers conjecture: integers a, b, c, d and e, all > 1, such that a^k + b^k + c^k + d^k = e^k, with k = 5. %C A386541 This is the first counterexample (found in 1966) to Euler's sum of powers conjecture. The conjecture, stated in 1769, claims that at least k k-th powers are needed to sum to a k-th power, for k >= 2. See the Wikipedia article for more information. %H A386541 L. J. Lander and T. R. Parkin, <a href="https://www.ams.org/journals/bull/1966-72-06/S0002-9904-1966-11654-3/S0002-9904-1966-11654-3.pdf">Counterexample to Euler’s conjecture on sums of like powers</a>, Bulletin of the American Mathematical Society 72 (1966), p. 1079. %H A386541 Wikipedia, <a href="https://en.wikipedia.org/wiki/Euler%27s_sum_of_powers_conjecture">Euler's sum of powers conjecture</a>. %F A386541 27^5 + 84^5 + 110^5 + 133^5 = 144^5. %Y A386541 Cf. A061988, A347773. %K A386541 nonn,full,fini %O A386541 1,1 %A A386541 _Paolo Xausa_, Jul 25 2025