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%I #7 Aug 25 2015 04:30:30
%S 1141,251,54,39,18,17,16,14,4,10,11,12,9,10,7,6,8,8,9,10,10,7,5,8,8,9,
%T 9,10,7,3,8,8,9,9,10,7,5,8,8,9,9,10,7,4,8,8,9,9,10,7,4,8,8,9,9,10,7,2,
%U 8,8,9,9,10,7,5,8,8,9,9,10,7,4,8,8,9,9,10,7,4
%N Minimum k such that k^6 can be expressed as the sum of n positive 6th powers.
%C It is not known whether there exists a 6th power that can be expressed as the sum of 6 positive 6th powers.
%H Eric W. Weisstein, <a href="http://mathworld.wolfram.com/DiophantineEquation6thPowers.html">Diophantine Equation--6th Powers</a>
%e a(7) = 1141 because 1141^6 = 1077^6 + 894^6 + 702^6 + 474^6 + 402^6 + 234^6 + 74^6 and no integer smaller than 1141 can be expressed as the sum of 7 positive 6th powers.
%Y Cf. A252476, A252486.
%K nonn
%O 7,1
%A _Jon E. Schoenfield_, Aug 24 2015
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