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Math 104A: Fall 2012 Homework 6 Due Friday, 11/16/2012 at 5:00 pm 1. Let a, b, n ∈ Z + with (a, b) = 1. Prove that there exist
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SOLVED: Wilson's Theorem (Corr 4.5) tells uS n is prime if and only if (n - 1)l=-1 mod (n) What least absolute residue is (n 1) equivalent to mod n? ANSWER FIRST
SOLVED: The converse of Wilson's theorem states that if (n − 1)! ≡ −1 (mod n), then n is prime. Show the following more precise statement, which extends Wilson's theorem: 1. (n
