Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |

**Navigation**

Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |

# (Generalized) Woodall primes

## Contents

## Definitions

A **Woodall prime** is a Woodall number (`n`•2^{n}-1), which is prime.

A **Generalized Woodall prime** could be defined as a Woodall prime with a general base `b` > 2, so of the form `n`•`b`^{n}-1.
The restriction of `n`+2 > `b` should then be claimed, otherwise every prime could be called a "Generalized Woodall prime".

A **Near Generalized Woodall prime** is defined as ** (n-1)•b^{n}-1** or

**.**

`(n+1)`•`b`^{n}-1## Note

For a complete list in this Wiki the primes of the forms `n`•`b`^{n}-1 are given with `b` ≥ 2, `n` ≥ 1 and listed as "Gen Woodall primes".

## See also

- original Woodall primes list
- Table with all available bases