Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
Topics | Register • News • History • How to • Sequences statistics • Template prototypes |
Mersenneplustwo factorizations
Last update: 2019-03-05 |
The Mersenneplustwo factorizations is a distributed computing project, which tries to factor numbers of the form: 2^{p}+1 (with p being a prime, as well as simultaneously 2^{p}-1 being prime). All such numbers are divisible by 3 since 2^{p}-1 is not divisible by 3 (it's assumed to be prime) and 2^{p} is not divisible by 3 (it's only prime factor is 2).
It is managed by James Wanless (Bearnol).
How to participate
Participants use ECMclient to automatically download numbers, do ECM curves on them and upload them again.
Status
As of this moment (2005-09-12), about 8GHz is being dedicated to this project. Update needed or remove! More recently (2019-03-05), about 100GHz on the ECMNet.
Results
Best results so far include 37-digit factor of M_{9941}+2 (FDBid) found by ECMNet, as well as 36-digit factor of M_{11213}+2 (FDBid) found using mprime (the linux version of Prime95 by George Woltman).
More recently, a 41-digit factor of M_{110503}+2 (FDBid) was also found by ECMNet.