A261572 Minimum k such that k^6 can be expressed as the sum of n positive 6th powers.

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, 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, 8, 8, 9, 9, 10, 7, 5, 8, 8, 9, 9, 10, 7, 4, 8, 8, 9, 9, 10, 7, 4

Offset: 7

Author

Jon E. Schoenfield, Aug 24 2015

Keywords

• nonn

Comments

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A252476, A252486.