# Math Help - Binomial Theorem

1. ## Binomial Theorem

Hey, another problem ,

Let p be an odd prime and let n be a positive integer. Use the Binomial Theorem to show that

1. $(1 + p)^{p^{n-1}} \equiv 1 \mod p^n$
2. $(1 + p)^{p^{n-2}} \not\equiv 1 \mod p^n$ .

Edit: Found the solution, ask if you want to know it.