20031127, 07:12  #1 
"Mike"
Aug 2002
2^{2}·5·397 Posts 
P1 Memory...
Some weird numbers... Any thoughts? (These are for a ~4M exponent!)

20031127, 19:33  #2 
Aug 2002
Termonfeckin, IE
3×919 Posts 
Umm... what's weird about this?

20031127, 20:33  #3 
"Mike"
Aug 2002
2^{2}×5×397 Posts 
The slight increase in the chance you have of finding a factor doesn't look like it is worth the trouble of assigning extra memory... Of course I knew that giving it more memory would not make it any faster, but up until now I never would have considered using such a low amount of memory on a P1 test...
In other words, work here in Marin's Mersennearies needn't be limited to people who have gobs of memory... 
20031127, 22:26  #4 
Sep 2003
2583_{10} Posts 
But that's for a small (~4M) exponent.
What do you get for, say, 11M exponents? 
20031127, 23:04  #5 
Aug 2002
Termonfeckin, IE
3·919 Posts 
Well, if you look at the bounds calculation code, you will find that Prime95 is interested in maximizing the throughput of the project and not necessarily the individual machine. The bounds are calculated such that
(Time for 2 LL tests * chance of finding factor)  Time for P1 test is maximized Note that GIMPS actually uses a multiple other than2 but I don't remember it exactly. So, in effect it may be more beneficial for the project but your machine may end up finding factors at a slower rate. 
20031127, 23:38  #6 
Nov 2003
3·5·11 Posts 
This is the expected data trend from the command line:
Pfactor=exponent,how_far_factored,has_been_LL_tested_once As garo has said, the program optimizes the bounds so that the processing time is most beneficial to the project. When you allocate more memory, it allows the second stage to run with larger bounds, but also allows the smaller bounds to run faster. This inturn allows deeper bounds with the same amount of time, explaining the slight increase in the B2 bound. However, since you goal is to find a factor, you should use a different command line. From readme.txt: “The P1 choice lets you factor Mersenne numbers using the P1 method of factoring. There is presently no web site which tells you how much P1 factoring has already been done on exponents. You can also edit the worktodo.ini file directly. For example: Pminus1=751001,1000000,0,0,0 The first value is the exponent. The second value is bound #1. The third value is bound #2. The fourth value is 0 for 2^N1 factoring, 1 for 2^N+1 factoring. The fifth value is no longer used.” For some reason, this is not mentioned in undoc. I have no idea how to calculate the proper bounds from a set memory allocation. Regards, Nick 
20040106, 22:02  #7 
Sep 2002
2^{3}·37 Posts 
the time seems to be pretty stable
but by my ( very questiobable) perdictions you would need something like 200 gigs of ram to get near 100% chance of finding a factor every time. 
20040312, 13:34  #8  
Dec 2002
Amsterdam, Netherlands
2^{2}×19 Posts 
Quote:


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