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Difference between revisions of "Woodall prime"

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A '''Woodall prime''' is a [[Woodall number]] ({{Kbn|n|2|n}}), which is [[prime]].
 
A '''Woodall prime''' is a [[Woodall number]] ({{Kbn|n|2|n}}), which is [[prime]].
  
A '''"Generalized Woodall prime"''' could be defined as a Woodall prime with a general base ''b'' > 2, so of the form {{Kbn|n|b|n}}.
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A '''"Generalized Woodall prime"''' could be defined as a Woodall prime with a general base {{Vb}} > 2, so of the form {{Kbn|n|b|n}}.
The restriction of ''n''+2 > ''b'' should then be claimed, otherwise every prime could be called a "Generalized Woodall prime".
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The restriction of {{Vn}}+2 > {{Vb}} should then be claimed, otherwise every prime could be called a "Generalized Woodall prime".
  
 
==Note==
 
==Note==
For a complete list in this Wiki the primes of the forms {{Kbn|n|b|n}} are given with ''b'' ≥ 2, ''n'' ≥ 1 and listed as "Gen. Woodall primes".
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For a complete list in this Wiki the primes of the forms {{Kbn|n|b|n}} are given with {{Vb}} ≥ 2, {{Vn}} ≥ 1 and listed as "Gen Woodall primes".
  
 
==See also==
 
==See also==
*original [[Gen. Woodall prime 2|Woodall primes]] list
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*original [[Woodall prime 2|Woodall primes]] list
*[[Gen. Woodall prime table|Table]] with all available bases
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*[[Woodall prime table|Table]] with all available bases
  
 
==External links==
 
==External links==
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*[http://harvey563.tripod.com/GeneralizedWoodallPrimes.txt Exhaustive list] by S.Harvey
 
*[http://harvey563.tripod.com/GeneralizedWoodallPrimes.txt Exhaustive list] by S.Harvey
 
*[https://www.mersenneforum.org/showthread.php?t=19713 Thread] at [[MersenneForum]]
 
*[https://www.mersenneforum.org/showthread.php?t=19713 Thread] at [[MersenneForum]]
[[Category:Gen._Woodall_prime| ]]
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[[Category:Woodall prime| ]]

Latest revision as of 16:40, 31 August 2021

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".

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