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Euler's Totient Theorem

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Euler's Totient Theorem is a theorem closely related to his function of the same name.

Theorem

Let be Euler's totient function. If is an integer and is a positive integer relatively prime to , then {a}^{\phi (m)}\equiv 1 \pmod {m}.

Credit

This theorem is credited to Leonhard Euler. It is a generalization of Fermat's Little Theorem, which specifies that is prime. For this reason it is known as Euler's generalization and Fermat-Euler as well.

See also

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