Wilson prime

If for a given prime p it is true that (p-1)!-1modp2, then p is called a Wilson primeMathworldPlanetmath. Like all other primes, Wilson primes satisfy the primality condition of Wilson’s theorem, but they also divide the Wilson quotientMathworldPlanetmath. Only three are known as of 2007, namely: 5, 13, 563 (A007540 in Sloane’s OEIS, which normally requires at least four terms before accepting sequences into the table). It is not known if there are infinitely many Wilson primes exist; the fourth Wilson prime would have to be greater than 109.

Title Wilson prime
Canonical name WilsonPrime
Date of creation 2013-03-22 16:40:39
Last modified on 2013-03-22 16:40:39
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 5
Author PrimeFan (13766)
Entry type Definition
Classification msc 11A41