PrimeGrid Generalized Cullen Prime Search

Purpose

The goal of this project is to find Generalized Cullen primes of the form n•bⁿ+1 for bases b which have no known primes.

Status

• Current status

The bases currently being searched by the project:

• Base 13
• Base 29
• Base 47
• Base 49
• Base 55
• Base 69
• Base 101
• Base 109
• Base 121

Found primes

Each of these finds was the first known Generalized Cullen prime in that base, eliminating that base from the search.

• 2019-09-02: 2805222•25^2805222+1
• 2018-03-11: 1806676•41^1806676+1
• 2018-01-18: 1323365•116^1323365+1
• 2017-08-21: 1341174•53^1341174+1
• 2016-10-08: 682156•79⁶⁸²¹⁵⁶+1
• 2012-01-29: 427194•113⁴²⁷¹⁹⁴+1
• 2010-05-25: 129897•68¹²⁹⁸⁹⁷+1

See also

• PrimeGrid
• Gen. Cullen prime

External links

• Generalized Cullen/Woodall Prime Search introduction - PrimeGrid Forums