7,1

It is not known whether there exists a 6th power that can be expressed as the sum of 6 positive 6th powers.

Table of n, a(n) for n=7..85.

Eric W. Weisstein, Diophantine Equation--6th Powers

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.

Cf. A252476, A252486.

Sequence in context: A353066 A206112 A232133 * A252476 A020397 A132410

Adjacent sequences: A261569 A261570 A261571 * A261573 A261574 A261575

nonn

Jon E. Schoenfield, Aug 24 2015

approved