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Math — Number Theory

Congruence, gcd–lcm, Fermat's little theorem and Euler's totient.

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a \equiv b \pmod{n}

\gcd(a,b)\cdot\operatorname{lcm}(a,b) = ab

a^{p-1} \equiv 1 \pmod{p}

\varphi(n) = n\prod_{p\mid n}\left(1 - \frac{1}{p}\right)