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

Wolstenholme primes are named after mathematician Joseph Wolstenholme, who proved Wolstenholme's theorem, the equivalent statement for p³ in 1862, following Charles Babbage who showed the equivalent for p² in 1819.

The only known Wolstenholme primes so far are 16843 and 2124679 ; any other Wolstenholme prime must be greater than 6.4 · 10⁸.

Also see

• Wieferich prime
• Wilson prime
• Wall-Sun-Sun prime

External links

• The Prime Glossary: Wolstenholme prime
• Status of the search for Wolstenholme primes