Wolstenholme prime

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 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 (Sloane's A088164); any other Wolstenholme prime must be > 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

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Wolstenholme prime

Also see

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