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Difference between revisions of "Cullen prime"
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*[https://t5k.org/top20/page.php?sort=Cullen Cullen number] | *[https://t5k.org/top20/page.php?sort=Cullen Cullen number] | ||
*[https://t5k.org/top20/page.php?id=42 Top 20 Generalized Cullen primes] | *[https://t5k.org/top20/page.php?id=42 Top 20 Generalized Cullen primes] | ||
| − | + | (Testing coordination) | |
| − | + | *[https://www.mersenneforum.org/showthread.php?t=28553 Generalized Cullen / Woodall Coordinated Search - Reservations/Status: 2023-04-01 to (ongoing)] at [[MersenneForum]] | |
| − | |||
| − | *[https://www.mersenneforum.org/showthread.php?t=28553 | ||
*[https://www.mersenneforum.org/showthread.php?t=28531 Generalized Cullens/Woodalls: 2023-03-13 to 2023-04-03] at [[MersenneForum]] | *[https://www.mersenneforum.org/showthread.php?t=28531 Generalized Cullens/Woodalls: 2023-03-13 to 2023-04-03] at [[MersenneForum]] | ||
| + | *[https://www.mersenneforum.org/showthread.php?t=19713 Generalized Cullen and Woodall Searches: 2014-09-21 to 2022-02-12] at [[MersenneForum]] | ||
*[https://www.mersenneforum.org/showthread.php?t=24778 Some new Generalized Cullen and Woodall primes: 2019-09-02 to 2019-11-27] at [[MersenneForum]] | *[https://www.mersenneforum.org/showthread.php?t=24778 Some new Generalized Cullen and Woodall primes: 2019-09-02 to 2019-11-27] at [[MersenneForum]] | ||
*[https://www.mersenneforum.org/showthread.php?t=19935 Generalized Cullen/Woodall Sieving Software: 2014-11-05 to 2014-12-29] at [[MersenneForum]] | *[https://www.mersenneforum.org/showthread.php?t=19935 Generalized Cullen/Woodall Sieving Software: 2014-11-05 to 2014-12-29] at [[MersenneForum]] | ||
| − | *[https:// | + | (Test ranges & primes) |
| − | *[http://web.archive.org/web/20070626212719/http://www.primzahlenarchiv.de/index.html Old pages] by [[Daniel Hermle]] (WaybackMachine) | + | *[http://prothsearch.com/GC-Discoverers.html Discoverers of generalized Cullen primes for 3 ≤ b ≤ 200] by [[Wilfrid Keller]], (ongoing updates) |
| + | *[http://www.loeh.name/guenter/gc/status.html Generalized Cullen primes for 3 ≤ b ≤ 100] by [[Günter Löh]], 2019-11-23 | ||
| + | *[https://harvey563.tripod.com/NearGeneralizedWoodall.txt Near Generalized Cullen & Woodall primes] by [[Steven Harvey]], 2017-08-11 | ||
| + | *[https://harvey563.tripod.com/NearCullen_WoodallPrimes.txt Near Cullen & Near Woodall primes] by [[Steven Harvey]], 2015-04-28 | ||
| + | *[http://harvey563.tripod.com/GClist.txt Generalized Cullen list for 101 ≤ b ≤ 10000] by [[Steven Harvey]], info provided by [[Mark Rodenkirch]] & [[Maik Gruenewald]], 2015-02-05 | ||
| + | (Old early history) | ||
| + | *[http://web.archive.org/web/20070626212719/http://www.primzahlenarchiv.de/index.html Old Generalized Cullen Prime Search pages] by [[Daniel Hermle]] (WaybackMachine), about 2004 to 2007 | ||
| + | *[http://prothsearch.com/GC-Beginnings.txt Beginning generalized Cullen test ranges/primes for 3 ≤ b ≤ 100] by [[Wilfrid Keller]], 2000-12 | ||
[[Category:Cullen prime| ]] | [[Category:Cullen prime| ]] | ||
Latest revision as of 08:58, 6 April 2025
Contents
[hide]Definitions
A Cullen prime is a Cullen number (n•2n+1), which is prime.
A "Generalized Cullen prime" could be defined as a Cullen 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 Cullen 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 "Cullen primes".
See also
- Cullen primes base 2 list
- Table with all available bases
External links
(Testing coordination)
- Generalized Cullen / Woodall Coordinated Search - Reservations/Status: 2023-04-01 to (ongoing) at MersenneForum
- Generalized Cullens/Woodalls: 2023-03-13 to 2023-04-03 at MersenneForum
- Generalized Cullen and Woodall Searches: 2014-09-21 to 2022-02-12 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
(Test ranges & primes)
- Discoverers of generalized Cullen primes for 3 ≤ b ≤ 200 by Wilfrid Keller, (ongoing updates)
- Generalized Cullen primes for 3 ≤ b ≤ 100 by Günter Löh, 2019-11-23
- Near Generalized Cullen & Woodall primes by Steven Harvey, 2017-08-11
- Near Cullen & Near Woodall primes by Steven Harvey, 2015-04-28
- Generalized Cullen list for 101 ≤ b ≤ 10000 by Steven Harvey, info provided by Mark Rodenkirch & Maik Gruenewald, 2015-02-05
(Old early history)
- Old Generalized Cullen Prime Search pages by Daniel Hermle (WaybackMachine), about 2004 to 2007
- Beginning generalized Cullen test ranges/primes for 3 ≤ b ≤ 100 by Wilfrid Keller, 2000-12
