An algebra problem by Wildan Bagus Wicaksono

Algebra Level 3

Find the smallest positive integer nn with n>2017 n > 2017 so that

13+23+33+...+n3n\sqrt { \frac { { 1 }^{ 3 }+{ 2 }^{ 3 }+{ 3 }^{ 3 }+...+{ n }^{ 3 } }{ n } }

is an integer.

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