Who will be the next??

[patrik]

Originally Posted by philmoore

Patrik, can you run second stage using GMP-ECM under windows, or is that something that you have to run under a different operating system?

I run it under Linux. I have chosen the limit B2 so that my two windows computers do stage 1 at approximately the same rate as my Linux computer runs stage 2. So there is no shortage of work, and not much accumulation. All are in a local network at home, so I just have to ftp the result file to the Linux box when it is finished.

[thomasn]

Patrik:
Why do you do stage 1 and 2 on different computers ?

[patrik]

First of all: Prime95/mprime is faster than GMP-ECM for stage 1 (at least for my P4's), but GMP-ECM is faster for stage 2. This has been discussed here:

http://www.mersenneforum.org/viewtopic.php?p=3489#3489
http://www.mersenneforum.org/viewtopic.php?t=79

It is just because I have two windows computers and one Linux, and when I started using GMP-ECM I couldn't find a binary for windows (but I remember later seeing a link somewhere here on the forums). Then I had to run stage 2 on the Linux computer, and it made sense to let the two windows computers run stage 1. (I also like the graphical interface of Prime95 better than I like the interface of mprime.)

By the way, I found a 52 digit factor of M773 just yesterday!
3102804258869848876949115800490112967822146918598407

[jocelynl]

By the way, I found a 52 digit factor of M773 just yesterday!
3102804258869848876949115800490112967822146918598407

This will probably make M773 the most wanted number for nfsnet since all factors of M773 will be less then 80 digits.

[ewmayer]

Originally Posted by patrik

By the way, I found a 52 digit factor of M773 just yesterday!
3102804258869848876949115800490112967822146918598407

That's a big one - congratulations! Way out of reach of p+-1. How many curves did you use, and at what stage bounds? Do you have the factorization of the group order for the curve that led to the factor?

[xilman]

Originally Posted by jocelynl

This will probably make M773 the most wanted number for nfsnet since all factors of M773 will be less then 80 digits.

Ironically, it makes it one of the least wanted numbers. That was the last remaining factor and M773 is now completed.


Paul

[xilman]

Originally Posted by jocelynl

This will probably make M773 the most wanted number for nfsnet since all factors of M773 will be less then 80 digits.

Ironically, it makes it one of the least wanted numbers. That was the last remaining factor and M773 is now completed.


Paul

[patrik]

Originally Posted by ewmayer

How many curves did you use, and at what stage bounds? Do you have the factorization of the group order for the curve that led to the factor?

I ran about 8000 curves with B1=11e6 and B2=6e9. I don't know how to compute the group order, but maybe this quote from champs.txt is what you are looking for.
[code:1] Factor g2 g1 C sigma
^^^^^^ ^^^^ ^^^^ ^^^ ^^^^^
...
p52 = 3102... 2378263 1701537137 1000000 8170945836124664
[/code:1]

[jocelynl]

Ironically, it makes it one of the least wanted numbers. That was the last remaining factor and M773 is now completed.

Sorry, I was looking at Prime95 Lowm.txt file.
It didn't have this one yet.
found 101625278121114813541046756104385520302531369 Jonathan Webster 30.05.03

Joss

[wblipp]

Originally Posted by xilman

Ironically, it makes it one of the least wanted numbers. That was the last remaining factor and M773 is now completed.

Paul

Where's the remaining factor announced?

Will Edgington's lowM.txt has a C186 for M(773) - this P52 reduces that to C135.

The Cunningham Factor Server still has C186.

The GIMPS page of factors found doesn't yet list any factors of M(773).

Assuming it's not an error, who found the remaining factor and where was it announced?

[xilman]

Originally Posted by wblipp

Where's the remaining factor announced?

Will Edgington's lowM.txt has a C186 for M(773) - this P52 reduces that to C135.

The Cunningham Factor Server still has C186.

The GIMPS page of factors found doesn't yet list any factors of M(773).

Assuming it's not an error, who found the remaining factor and where was it announced?

Sam Wagstaff included this line in his June newsletter:

4821 2, 773- c186 101625278121114813541046756104385520302531369. c142 Webster ECMNET

The p52 found since leaves a p91 cofactor.

My Cunningham page (http://research.microsoft.com/~pleyl...ngham/main.htm) is reasonably up to date.


Paul