Answer to Question #18590 in Combinatorics | Number Theory for caroline

Question #18590

Let mEN
(a) show that if m is square-free, then there exists an u>1 such that a^u ≡a (mod m) for all aEZ. [hint: if m=p1p2...pr with distinct primes p1,p2...pr, consider u=(p1-1)(p2-1)...(pr-1)+1.]

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