Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Mersenneplustwo factorizations

From Prime-Wiki
Revision as of 12:54, 13 February 2019 by Karbon (talk | contribs) (restored)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

The Mersenneplustwo factorizations is a project, which tries to factor numbers of the form: 2p+1 (with p being a prime, as well as simultaneously 2p-1 being prime). All such numbers are divisible by 3 since 2p-1 is not divisible by 3 (it's assumed to be prime) and 2p 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 - more needed! :-)

Results

Best results so far include 37-digit factor of [math]\displaystyle{ M_{9941}{+2} }[/math] (FDBid) found by ECMNet, as well as 36-digit factor of [math]\displaystyle{ M_{11213}{+2} }[/math] (FDBid) found using mprime (the linux version of Prime95 by George Woltman)

External links