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Difference between revisions of "Mersenneplustwo factorizations"
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| − | 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== | ||
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==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).
Contents
[hide]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.
