Largest known probable prime cofactors of Primorial ±1 (proper divisor of p# ±1 with p prime and > 10343)
|
Cofactor |
Digits |
When |
|---|---|---|
|
(136777# -1)/8823581477 |
59254 |
05/2006 |
|
(97127# -1)/338843573 |
42056 |
04/2006 |
|
(95617# +1)/3731593 |
41415 |
04/2006 |
|
(79273# +1)/14236619 |
34255 |
04/2005 |
|
(35099# +1)/18274679 |
15156 |
04/2005 |
|
(25087# -1)/(32503 . 223753) |
10798 |
04/2005 |
|
(20173# -1)/3433327 |
8681 |
02/2005 |
|
(17713# +1)/181957 |
7622 |
01/2005 |
|
(16831# +1)/42012052913 |
7231 |
01/2005 |
|
(15991# +1)/9604637744183 |
6887 |
01/2005 |
|
(15401# -1)/952843 |
6634 |
12/2004 |
MultiSieve (written by Mark Rodenkirch) was used to find the factors < 234
GMP-ECM was used to find the factors 42012052913 and 9604637744183
All 11 probable prime cofactors have passed a Miller-Rabin primality test in 10 randomly chosen bases (ispseudoprime test in PARI/GP). The 6 largest probable prime cofactors on this page are listed on Henri Lifchitz's Top 10000 PRPs page: p# +1 and p# -1. All factors on this page were found by me.
p# ±1 for p = 2293 to 10343
p# ±1 for p = 607 to 2287
p# ±1 for p = 2 to 601: Hisanori Mishima's Primorial ±1 Factorizations: p# +1
and p# -1
Main page
Last updated on February 10, 2007
Donovan Johnson