(Generalized) Cullen primes

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)