Wilson's Theorem/Examples

Examples of Use of Wilson's Theorem

$5$ divides $\paren {5 - 1}! + 1$

$5$ is a divisor of $\paren {5 - 1}! + 1$.


$10$ does not divide $\paren {n - 1}! + 1$

For all $n \in \Z_{>0}$, $10$ is not a divisor of $\paren {n - 1}! + 1$.