Wilson prime

This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.
View other properties of prime numbers | View other properties of natural numbers

Definition

A Wilson prime is a prime number $p$ satisfying the following equivalent condition:

• $p^{2}$ divides $(p-1)!-1$.
• $p$ divides the Wilson polynomial for $p$.