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A261572 Minimum k such that k^6 can be expressed as the sum of n positive 6th powers. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,1

COMMENTS

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

LINKS

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

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

EXAMPLE

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.

CROSSREFS

Cf. A252476, A252486.

Sequence in context: A353066 A206112 A232133 * A252476 A020397 A132410

Adjacent sequences: A261569 A261570 A261571 * A261573 A261574 A261575

KEYWORD

nonn

AUTHOR

Jon E. Schoenfield, Aug 24 2015

STATUS

approved

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Last modified December 3 14:41 EST 2022. Contains 358534 sequences. (Running on oeis4.)