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Difference between revisions of "Cullen prime"
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*[https://primes.utm.edu/top20/page.php?sort=Cullen Cullen number] | *[https://primes.utm.edu/top20/page.php?sort=Cullen Cullen number] | ||
*[https://primes.utm.edu/top20/page.php?id=42 Top 20 Generalized Cullen primes] | *[https://primes.utm.edu/top20/page.php?id=42 Top 20 Generalized Cullen primes] | ||
− | *[http://www.loeh.name/guenter/gc/status.html List for 2 ≤ b ≤ 100] by | + | *[http://www.loeh.name/guenter/gc/status.html List for 2 ≤ b ≤ 100] by [[Günther Löh]], 2019-11-23 |
*[http://harvey563.tripod.com/GClist.txt List for 101 ≤ b ≤ 10000] by S.Harvey | *[http://harvey563.tripod.com/GClist.txt List for 101 ≤ b ≤ 10000] 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]] | ||
*[http://web.archive.org/web/20070626212719/http://www.primzahlenarchiv.de/index.html Old pages] by Daniel Hermle (WaybackMachine) | *[http://web.archive.org/web/20070626212719/http://www.primzahlenarchiv.de/index.html Old pages] by Daniel Hermle (WaybackMachine) | ||
[[Category:Cullen prime| ]] | [[Category:Cullen prime| ]] |
Revision as of 16:27, 16 April 2023
Contents
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 "Gen Cullen primes".
See also
- original Cullen primes list
- Table with all available bases
External links
- Cullen number
- Cullen number
- Top 20 Generalized Cullen primes
- List for 2 ≤ b ≤ 100 by Günther Löh, 2019-11-23
- List for 101 ≤ b ≤ 10000 by S.Harvey
- Thread at MersenneForum
- Old pages by Daniel Hermle (WaybackMachine)