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What is 2021^2021 mod 31?

 Jan 4, 2021
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2021 is 6 mod 21 and the powers of 6 repeat in the infinite loop 6-5-6-5-6-5... and 2021 is 1 mod 2 so 2021^2021 is 6 mod 31.

:D

 Jan 6, 2021

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