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Difference between revisions of "Woodall prime"

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==External links==
 
==External links==
 
*[[Wikipedia:Woodall_number|Woodall number]]
 
*[[Wikipedia:Woodall_number|Woodall number]]
*[https://primes.utm.edu/glossary/page.php?sort=WoodallNumber Woodall number]
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*[https://t5k.org/glossary/page.php?sort=WoodallNumber Woodall number]
*[https://primes.utm.edu/top20/page.php?id=45 Top 20 Generalized Woodall primes]
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*[https://t5k.org/top20/page.php?id=45 Top 20 Generalized Woodall primes]
*[https://harvey563.tripod.com/GeneralizedWoodallPrimes.txt Generalized Woodall primes] by S.Harvey
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*[https://harvey563.tripod.com/GWNews.txt Generalized Woodall status reports] by S.Harvey, 2019-04-13
*[https://harvey563.tripod.com/NearGeneralizedWoodall.txt Near Generalized Woodall primes] by S.Harvey
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*[https://harvey563.tripod.com/gwranges.txt Generalized Woodall ranges completed] by S.Harvey, 2019-03-29
*[https://www.mersenneforum.org/showthread.php?t=19713 Thread] at [[MersenneForum]]
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*[https://harvey563.tripod.com/GeneralizedWoodallPrimes.txt Generalized Woodall primes] by S.Harvey, 2019-04-15
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*[https://harvey563.tripod.com/NearGeneralizedWoodall.txt Near Generalized Woodall primes] by S.Harvey, 2017-08-11
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*[https://www.mersenneforum.org/showthread.php?t=28553 Current reservation/status: 2023-04-01 to (ongoing)] at [[MersenneForum]]
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*[https://www.mersenneforum.org/showthread.php?t=28531 Generalized Cullens/Woodalls: 2023-03-13 to 2023-04-03] at [[MersenneForum]]
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*[https://www.mersenneforum.org/showthread.php?t=24778 Some new Generalized Cullen and Woodall primes: 2019-09-02 to 2019-11-27] at [[MersenneForum]]
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*[https://www.mersenneforum.org/showthread.php?t=19935 Generalized Cullen/Woodall Sieving Software: 2014-11-05 to 2014-12-29] at [[MersenneForum]]
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*[https://www.mersenneforum.org/showthread.php?t=19713 Generalized Cullen and Woodall Searches: 2014-09-21 to 2022-02-12] at [[MersenneForum]]
 
[[Category:Woodall prime| ]]
 
[[Category:Woodall prime| ]]

Revision as of 06:43, 28 October 2024

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 nbn-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 nbn-1 are given with b ≥ 2, n ≥ 1 and listed as "Gen Woodall primes".

See also

External links