$How do I use Euler's theorem to evaluate (3^(1117^(8^25)) + 20210825) mod 163 ?$

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$How do I use Euler's theorem to evaluate (3^(1117^(8^25)) + 20210825) mod 163 ?$

I have no idea on how to reduce the nested exponents

Number Theory

John Lewis

5

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Answer 1

My understanding is that you wish to reduce $3^{1117^{8^{25}}}$ modulo $163$.

I have attempted a full written solution, but it will be long. I suggest adding a bounty for this as it is time-consuming.

Sameljk

42

$How do I use Euler's theorem to evaluate (3^(1117^(8^25)) + 20210825) mod 163 ?$

1 Answer

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