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Wolstenholme prime
In [[number theory]], a '''Wolstenholme prime''' is a certain kind of [[prime number]]. A prime ''p'' is called a Wolstenholme prime [[iff]] the following condition holds:

:<math>{{2p-1}\choose{p-1}} \equiv 1 \pmod{p^4}.</math>

(contracted; show full)== See also ==
* [[Wieferich prime]]
* [[Wilson prime]]
* [[Wall-Sun-Sun prime]]
* [[List of special classes of prime numbers]]

== References ==

*{{cite journal |author=J. Wolstenholme |title=On certain properties of prime numbers |journal=Quarterly Journal of Mathematics |volume=5 |year=1862 |pages=35–39}}

== External links ==
* [http://primes.utm.edu/glossary/page.php?sort=Wolstenholme The Prime Glossary: Wolstenholme prime]
* [http://www.loria.fr/~zimmerma/records/Wieferich.status Status of the search for Wolstenholme primes]

[[Category:Classes of prime numbers]]
[[Category:Factorial and binomial topics]]

[[de:Wolstenholme-Primzahl]]
[[eo:Primo de Wolstenholme]]
[[es:Número de Wolstenholme]]
[[fr:Nombre de Wolstenholme]]
[[it:Numero primo di Wolstenholme]]