Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "Cullen prime"

From Prime-Wiki
Jump to: navigation, search
(add external link)
(update links)
 
(One intermediate revision by one other user not shown)
Line 16: Line 16:
 
==External links==
 
==External links==
 
*[[Wikipedia:Cullen_number|Cullen number]]
 
*[[Wikipedia:Cullen_number|Cullen number]]
*[https://primes.utm.edu/top20/page.php?sort=Cullen Cullen number]
+
*[https://t5k.org/top20/page.php?sort=Cullen Cullen number]
*[https://primes.utm.edu/top20/page.php?id=42 Top 20 Generalized Cullen primes]
+
*[https://t5k.org/top20/page.php?id=42 Top 20 Generalized Cullen primes]
 
*[http://www.loeh.name/guenter/gc/status.html List for 2 ≤ b ≤ 100] by [[Günter Löh]], 2019-11-23
 
*[http://www.loeh.name/guenter/gc/status.html List for 2 ≤ b ≤ 100] by [[Günter Löh]], 2019-11-23
 
*[http://harvey563.tripod.com/GClist.txt List for 101 ≤ b ≤ 10000] by [[Steven Harvey]]
 
*[http://harvey563.tripod.com/GClist.txt List for 101 ≤ b ≤ 10000] by [[Steven Harvey]]
*[http://prothsearch.com/GC-Discoverers.html Discoverers for 3 ≤ b ≤ 200] by [[Wilfrid Keller]]
+
*[http://prothsearch.com/GC-Discoverers.html Discoverers for 3 ≤ b ≤ 200] by [[Wilfrid Keller]], occasionally updated
 
*[https://www.mersenneforum.org/showthread.php?t=28553 Current reservation/status: 2023-04-01 to (ongoing)] at [[MersenneForum]]
 
*[https://www.mersenneforum.org/showthread.php?t=28553 Current reservation/status: 2023-04-01 to (ongoing)] 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=28531 Generalized Cullens/Woodalls: 2023-03-13 to 2023-04-03] at [[MersenneForum]]

Latest revision as of 06:42, 28 October 2024

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 nbn+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 nbn+1 are given with b ≥ 2, n ≥ 1 and listed as "Cullen primes".

See also

External links