## Wolstenholme prime |

Named after | |
---|---|

Publication year | 1995^{[1]} |

Author of publication | McIntosh, R. J. |

No. of known terms | 2 |

Conjectured no. of terms | Infinite |

First terms | |

Largest known term | 2124679 |

In **Wolstenholme prime** is a special type of

Interest in these primes first arose due to their connection with

The only two known Wolstenholme primes are 16843 and 2124679 (sequence A088164 in the ^{9}.^{[2]}

- definition
- search and current status
- expected number of wolstenholme primes
- see also
- notes
- references
- further reading
- external links

Unsolved problem in mathematics:Are there any Wolstenholme primes other than 16843 and 2124679? |

Wolstenholme prime can be defined in a number of equivalent ways.

A Wolstenholme prime is a prime number *p* > 7 that satisfies the

where the expression in ^{[3]}
Compare this with *p* > 3 the following congruence holds:

A Wolstenholme prime is a prime *p* that divides the numerator of the *B*_{p−3}.^{[4]}^{[5]}^{[6]} The Wolstenholme primes therefore form a subset of the

A Wolstenholme prime is a prime *p* such that (*p*, *p*–3) is an ^{[7]}^{[8]}

A Wolstenholme prime is a prime *p* such that^{[9]}

i.e. the numerator of the *p*^{3}.

Other Languages

español: Número primo de Wolstenholme

Esperanto: Primo de Wolstenholme

français: Nombre premier de Wolstenholme

italiano: Numero primo di Wolstenholme

русский: Простое число Вольстенхольма