- #1
cwatki14
- 57
- 0
I am aiming to prove that p is the smallest prime that divides (p-1)!+1. I got the first part of the proof. It pretty much follows from Fermat's Little Theorem/ Wilson's Theorem, but I am stuck on how to prove that p is the smallest prime that divides (p-1)! +1. I am assuming that every other prime divisor of (p-1)!+1 is related to p by some congruence? Any ideas how to prove this tidbit? - Thanks