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Difference between revisions of "Woodall prime"
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| + | {{DISPLAYTITLE:(Generalized) Woodall primes}} | ||
==Definitions== | ==Definitions== | ||
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}}. | 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}}. | ||
| − | The restriction of ''n''+2 > ''b'' should then be claimed, | + | 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 {{Kbn|n|b|n}} are given with ''b'' ≥ 2, ''n'' ≥ 1 and listed as "Gen. Woodall primes". | 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". | ||
| − | + | ||
| + | ==See also== | ||
| + | *original [[Gen. Woodall prime 2|Woodall primes]] list | ||
| + | |||
==External links== | ==External links== | ||
*[[Wikipedia:Woodall_number|Woodall number]] | *[[Wikipedia:Woodall_number|Woodall number]] | ||
Revision as of 09:09, 26 April 2019
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
