Difficult# Primes, Powers, and Factorials

ABSALG-3L4SVH

Which of the following statements are **TRUE**? You do not need a calculator.

You may use the fact that

$461$ is a prime number

You may also use Wilson's Theorem:

$(p-1)!:=\prod_{r=1}^pr\equiv\,-1$ mod $p$, for $p\ge 2$ prime

Select **ALL** that apply.