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Wilson quotient

 Home Mathematics Fields of mathematics Arithmetic Numbers Integer sequences
 0 By others on same topic  0 Discussions  1970-01-01  See my version
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)!

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