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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
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.
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
Sequence in context: A353066 A206112 A232133 * A252476 A020397 A132410
KEYWORD
nonn
AUTHOR
Jon E. Schoenfield, Aug 24 2015
STATUS
approved