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Euler's theorem

the general coprime version of Fermat's theorem

euler-theorem #math#number-theory
Korean version

Related Concepts

Fermat's little theoremprime numbercongruenceEuler's totient functioncoprime

Core Idea

Euler's theorem is the general coprime version of Fermat's theorem. It usually makes the most sense alongside Fermat's little theorem, prime number, congruence.

Why It Matters Here

Mathbong reuses this term across number-theory posts as shared vocabulary.

Posts Mentioning This Concept

[Introduction to Number Theory Series Part 16] Why Does Fermat's Little Theorem Simplify Exponent Computations? Use Fermat's little theorem to reduce large exponents modulo a prime.[정수론 입문 시리즈 16편] 페르마 소정리는 왜 거듭제곱 계산을 단순하게 만들까? 페르마 소정리를 통해 소수 mod에서 반복되는 거듭제곱의 구조를 이해하고 빠른 계산 감각을 정리합니다.[Introduction to Number Theory Series Part 17] How Do Euler's Totient Function and Euler's Theorem Extend Fermat's Little Theorem? See how Euler's totient function and Euler's theorem generalize Fermat's little theorem beyond prime moduli.

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