Generalized Cullen primes for bases > 10000

Started: 2025-08-09
Last update: 2025-08-15

Compiled by Gary Barnes

Generalized Cullen primes bases <= 1000
Generalized Cullen primes bases 1001-2000
Generalized Cullen primes bases 2001-3000
Generalized Cullen primes bases 3001-4000
Generalized Cullen primes bases 4001-5000
Generalized Cullen primes bases 5001-6000
Generalized Cullen primes bases 6001-7000
Generalized Cullen primes bases 7001-8000
Generalized Cullen primes bases 8001-9000
Generalized Cullen primes bases 9001-10000
Generalized Woodall primes bases <= 1000

Green = reserved by a project
Yellow = reserved by a person
Mauve = not reserved and has prime > contiguous test limit (missing range); notated by (...)

Status date is date of reservation or last date that test limit was updated.

base Reserved by Status date Test limit # primes n · bn + 1 is prime for the following n-values
10001 10K 0
16384 400K 3 1963, 94189, 222216
32768 350K 2 5, 51359
65536 200K 1 1
131072 300K 3 5, 18825, (...) 809698
262144 200K 1 9
524288 100K 1 11
537824 65K 2 27562, 60977
1048576 100K 1 3867

Original information obtained from:
Prime Wiki
Generalized Cullen / Woodall Search