Thread: Number theory question 3-3

Show that if is prime and , then for any integer
:

Use fermat's little theorem. Simply put, if m == n (mod (p - 1)), m - n = k(p - 1), for some integer k. Now, use both sides as powers of a, some number a. a^(k(p - 1)) can be written as (a^(p - 1))^k, where p is a prime.

Salahuddin
Maths online