Hello 2016!

Find the remainder when 201 5 2016 2015^{2016} is divided by 2017.


The answer is 1.

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1 solution

Otto Bretscher
Jan 7, 2016

Fermat tells us that a p 1 1 ( m o d p ) a^{p-1}\equiv \boxed{1} \pmod{p} for the prime number p = 2017 p=2017 and a = 2015 a=2015 .

Oh.. I forgot fermat's little theorem..hahhah nice reasoning sir

Jun Arro Estrella - 5 years, 5 months ago

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