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New Year Enigma

Number Theory Level 2

Which number is bigger:

$\large{\sqrt[2015]{2015!}\quad\quad \text{or}\quad\quad \sqrt[2016]{2016!}}$

Inspired by an old problem from Kosova National Olympiad.

They're equal

\sqrt[2015]{2015!}

\sqrt[2016]{2016!}

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by Rohit Udaiwal

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