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min n such that N^n not a divisor of 2016!

Source: Flanders Math Olympiad 2016 p2

December 24, 2022
Powernumber theorydividesdivisor

Problem Statement

Determine the smallest natural number nn such that nnn^n is not a divisor of the product 1⋅2⋅3⋅...⋅2015⋅20161\cdot 2\cdot 3\cdot ... \cdot 2015\cdot 2016.
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