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(Generalized) Woodall primes
Contents
Definitions
A Woodall prime is a Woodall number (n•2n-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•bn-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)•bn-1 or (n+1)•bn-1.
Note
For a complete list in this Wiki the primes of the forms n•bn-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
External links
- Woodall number
- Woodall number
- Top 20 Generalized Woodall primes
- Generalized Woodall status reports by S.Harvey, 2019-04-13
- Generalized Woodall ranges completed by S.Harvey, 2019-03-29
- Generalized Woodall primes by S.Harvey, 2019-04-15
- Near Generalized Woodall primes by S.Harvey, 2017-08-11
- Current reservation/status: 2023-04-01 to (ongoing) at MersenneForum
- Generalized Cullens/Woodalls: 2023-03-13 to 2023-04-03 at MersenneForum
- Some new Generalized Cullen and Woodall primes: 2019-09-02 to 2019-11-27 at MersenneForum
- Generalized Cullen/Woodall Sieving Software: 2014-11-05 to 2014-12-29 at MersenneForum
- Generalized Cullen and Woodall Searches: 2014-09-21 to 2022-02-12 at MersenneForum
