let p be an odd prime. Show that the p-3 nubers from 2 to p-2 can be paired up in such a way that the product of each pair is congruent to 1 modulo p and use this to deduce that (p-2)! congruent to 1 mod p.
I'm having trouble with the first part..
let p be an odd prime. Show that the p-3 nubers from 2 to p-2 can be paired up in such a way that the product of each pair is congruent to 1 modulo p and use this to deduce that (p-2)! congruent to 1 mod p.
I'm having trouble with the first part..