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Difference between revisions of "Woodall prime"
m (Karbon moved page Gen. Woodall prime to Gen Woodall prime without leaving a redirect: renamed) |
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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 | + | 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 | + | 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 | + | 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 | + | *original [[Gen Woodall prime 2|Woodall primes]] list |
| − | *[[Gen | + | *[[Gen Woodall prime table|Table]] with all available bases |
==External links== | ==External links== | ||
| Line 19: | Line 19: | ||
*[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 | + | [[Category:Gen Woodall prime| ]] |
Revision as of 09:25, 2 November 2020
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".
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
