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%I #9 Apr 18 2025 17:45:18
%S 568,626
%N Primitive solutions k to the Diophantine equation k^7 = Sum_{i=1..7} y_i^7 with y_i > 0.
%H Jean-Charles Meyrignac, <a href="http://euler.free.fr/">Computing Minimal Equal Sums Of Like Powers</a>.
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DiophantineEquation7thPowers.html">Diophantine Equation - 7th powers</a>.
%H <a href="/index/Di#Diophantine">Index to sequences related to Diophantine equations</a> (7,1,7)
%e 568^7 = 127^7 + 258^7 + 266^7 + 413^7 + 430^7 + 439^7 + 525^7.
%e 626^7 = 91^7 + 148^7 + 158^7 + 255^7 + 258^7 + 309^7 + 625^7.
%Y Cf. A380716.
%K nonn,bref,hard,more
%O 1,1
%A _Jinyuan Wang_, Feb 12 2025