| Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
| Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Difference between revisions of "Mersenneplustwo factorizations"
(restored) |
(→Status) |
||
| (4 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
| − | The '''Mersenneplustwo factorizations''' is a [[distributed computing | + | {{Last update|2019-03-05}} |
| + | The '''Mersenneplustwo factorizations''' is a [[distributed computing project]], which tries to [[factorization|factor]] numbers of the form: 2<sup>p</sup>+1 (with p being a prime, as well as simultaneously 2<sup>p</sup>-1 being prime). All such numbers are divisible by 3 since 2<sup>p</sup>-1 is not divisible by 3 (it's assumed to be prime) and 2<sup>p</sup> is not divisible by 3 (it's only prime factor is 2). | ||
| − | It is managed by James Wanless ( | + | It is managed by [[User:Bearnol|James Wanless (Bearnol)]]. |
==How to participate== | ==How to participate== | ||
| Line 7: | Line 8: | ||
==Status== | ==Status== | ||
| − | As of this moment (2005-09-12), about 8GHz is being dedicated to this project | + | As of this moment (2005-09-12), about 8GHz is being dedicated to this project. {{C|red|Update needed or remove!}} |
| + | More recently (2019-03-05), about 100GHz on the ECMNet. | ||
==Results== | ==Results== | ||
| − | Best results so far include 37-digit factor of < | + | Best results so far include 37-digit factor of M<sub>9941</sub>+2 ({{FDBID|1000000000012159965}}) found by ECMNet, as well as 36-digit factor of M<sub>11213</sub>+2 ({{FDBID|1000000000012161237}}) found using ''mprime'' (the linux version of [[Prime95]] by [[George Woltman]]). |
| + | |||
| + | More recently, a 41-digit factor of M<sub>110503</sub>+2 ({{FDBID|1100000000017680993}}) was also found by ECMNet. | ||
==External links== | ==External links== | ||
Latest revision as of 13:33, 5 March 2019
| Last update: 2019-03-05 |
The Mersenneplustwo factorizations is a distributed computing 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. Update needed or remove! More recently (2019-03-05), about 100GHz on the ECMNet.
Results
Best results so far include 37-digit factor of M9941+2 (FDBid) found by ECMNet, as well as 36-digit factor of M11213+2 (FDBid) found using mprime (the linux version of Prime95 by George Woltman).
More recently, a 41-digit factor of M110503+2 (FDBid) was also found by ECMNet.
