WILSON PRIME

A 'Wilson prime' is a prime number ''p'' such that ''p''² divides (''p'' − 1)! + 1, where ! denotes the factorial function; compare this with Wilson's theorem, which states that every prime ''p'' divides (''p'' − 1)! + 1.
The only known Wilson primes are 5, 13, and 563 ; if any others exist, they must be greater than 5 · 10⁸. It has been conjectured that infinitely many Wilson primes exist, and that the number of Wilson primes in an interval [''x'', ''y''] is about log(log(''y'') / log(''x'')).

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See also

External links

See also

★ Wieferich prime

★ Wall-Sun-Sun prime

★ Wolstenholme prime

External links

★ The Prime Glossary: Wilson prime

★ MathWorld: Wilson prime

★ Status of the search for Wilson primes