Definition:Wilson Prime

Definition
A Wilson prime is a prime number $p$ such that:
 * $p^2 \mathrel \backslash \left({p - 1}\right)! + 1$

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

Also see

 * Wilson's Theorem: every prime number $p$ satisfies:
 * $p \mathrel \backslash \left({p-1}\right)! + 1$

However, the condition that its square also divides that same number is satisfied much more rarely.