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Euler's Totient Theorem Problem 1 Solution

Revision as of 16:33, 21 March 2023 by Megaboy6679 (talk | contribs) (→Solution)
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Problem

(BorealBear) Find the last two digits of $7^{81}-3^{81}$.

Solution

This is a direct application of Euler's Totient Theorem. Since $\phi(100)=40$, this reduces to $7^1-3^1\equiv \boxed{04}\pmod{100}$. -BorealBear

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