Wilson’s theorem

Wilson’s theorem states that

$$(p-1)!\equiv -1(modp)$$

iff $p$ is prime (note that it must be positive).

Title	Wilson’s theorem
Canonical name	WilsonsTheorem
Date of creation	2013-03-22 11:42:24
Last modified on	2013-03-22 11:42:24
Owner	CWoo (3771)
Last modified by	CWoo (3771)
Numerical id	33
Author	CWoo (3771)
Entry type	Theorem
Classification	msc 11A25
Classification	msc 37-01
Classification	msc 11-00
Synonym	Wilson-Lagrange theorem
Related topic	RuizIdentity
Related topic	PolynomialCongruence