Definition:Wilson Prime

Definition
A Wilson prime is a prime number $p$ such that:
 * $p^2 \divides \paren {p - 1}! + 1$

where:
 * $\divides$ signifies divisibility
 * $!$ is the factorial operator.

Also see

 * Wilson's Theorem: every prime number $p$ satisfies $p \divides \paren {p - 1}! + 1$