Source: wikibot/wilson-quotient
= Wilson quotient
{wiki=Wilson_quotient}
The Wilson quotient is a concept in number theory related to Wilson's theorem. Wilson's theorem states that a natural number \\( p \\) is a prime if and only if \\\[ (p-1)! \\equiv -1 \\, (\\text\{mod \} p). \\\] The Wilson quotient is computed using the factorial of \\( p-1 \\) and is specifically defined for prime numbers. It can be expressed as: \\\[ W(p) = \\frac\{(p-1)!