An algebra problem by Wildan Bagus W. Hafidz

Algebra Level 3

Find the smallest positive integer \(n\) with \( n > 2017\) so that

\[\sqrt { \frac { { 1 }^{ 3 }+{ 2 }^{ 3 }+{ 3 }^{ 3 }+...+{ n }^{ 3 } }{ n } } \]

is an integer.

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