2

Part of 2016 Flanders Math Olympiad

Problems(1)

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

Source: Flanders Math Olympiad 2016 p2

Determine the smallest natural number

n

n^n

is not a divisor of the product

1\cdot 2\cdot 3\cdot ... \cdot 2015\cdot 2016

Powernumber theorydividesdivisor