A342896 Smallest number that is the sum of six positive n-th powers in three ways.
30, 221, 2676, 696467, 17886882
Offset: 2
Examples
From _Ilya Gutkovskiy_, Aug 12 2024: (Start) a(6) = 17886882 = 1^6 + 8^6 + 8^6 + 12^6 + 12^6 + 15^6 = 2^6 + 2^6 + 6^6 + 9^6 + 9^6 + 16^6 = 3^6 + 5^6 + 6^6 + 6^6 + 10^6 + 16^6. (End)
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.
Extensions
a(6) from Jinyuan Wang, Apr 11 2021