# Power of Sum Modulo Prime/Corollary

## Corollary to Power of Sum Modulo Prime

Let $p$ be a prime number.

Then:

$\paren {1 + b}^p \equiv 1 + b^p \pmod p$

## Proof

Follows immediately from Power of Sum Modulo Prime by putting $a = 1$.

$\blacksquare$