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A342901
Smallest number that is the sum of seven positive n-th powers in four ways.
1
37, 470, 2932, 893604, 82718691
OFFSET
2,1
LINKS
R. Alter, Computations and generalizations on a remark of Ramanujan, pp. 182-196 of "Analytic Number Theory (Philadelphia, 1980)", ed. M. I. Knopp, Lect. Notes Math., Vol. 899, 1981.
EXAMPLE
From Ilya Gutkovskiy, Aug 12 2024: (Start)
a(6) = 82718691 = 1^6 + 1^6 + 8^6 + 14^6 + 16^6 + 17^6 + 18^6
= 3^6 + 7^6 + 10^6 + 10^6 + 16^6 + 16^6 + 19^6
= 4^6 + 5^6 + 10^6 + 12^6 + 14^6 + 17^6 + 19^6
= 4^6 + 9^6 + 10^6 + 13^6 + 13^6 + 14^6 + 20^6. (End)
CROSSREFS
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, Apr 04 2021
EXTENSIONS
a(5)-a(6) from Jinyuan Wang, Apr 11 2021
STATUS
approved