20200910, 16:14  #1 
Sep 2020
7 Posts 
Changing work order of program
In recent days, I have been studying the properties of the equation for \(m^n+h \equiv 0 \pmod n\) where \(m,n \in \mathbb N\) and \(h \in \mathbb Z\), and I wanted to use the Prime95 program to calculate the factors of some of the numbers in the above form(specifically those of the form \(2^n+1\) where n satisfies \(n2^n+1\)). However, I have already been assigned exponents from the GIMPS that would take months to complete. How can I change the order of queued work so that I can commence factorization of my desired numbers first?

20200910, 16:19  #2 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2^{2}·3·5·73 Posts 
Briefly
Stop Prime95
Edit worktodo.txt and arrange assignments as you want Start Prime95 
20200911, 03:20  #3 
Sep 2020
7 Posts 
Thanks for the help.

20200911, 09:57  #4 
Romulan Interpreter
Jun 2011
Thailand
8,741 Posts 
How big the numbers?
yafu or pfgw could be a MUCH better (and faster) choice. P95 is not exactly designed for "factoring". Last fiddled with by LaurV on 20200911 at 09:58 
20200914, 15:01  #5 
Sep 2020
7 Posts 
I have just downloaded PFGW, yet even after reading the instructions, I can't seem to understand how to perform commands in the project. (By the way, my first number for factoring is 2^2197+1, since all n<=1539 had already been fully factored.)
Last fiddled with by StrongestStrike on 20200914 at 15:02 
20200914, 15:24  #6  
Random Account
Aug 2009
U.S.A.
2762_{8} Posts 
Quote:
If you go to Prime Wiki, you will be able to sift through what is available. 

20200914, 16:49  #7  
Feb 2016
! North_America
69_{10} Posts 
Quote:
Use YAFU for factoring. I found it much easier to use as it automates lot of things i do not know enough about. (GUI version, Windows openPFGW) The short and simple version as far as i could understand, is having the number in plain form (2^4 > 16) in a text file, then inputting the name of the text file into the big field, then hitting start. Or "pfgw file.txt" for the command line version. Last fiddled with by thyw on 20200914 at 16:50 

20200915, 04:30  #8 
Sep 2020
7 Posts 
It seems that YAFU is a Microsoft Windows application, and thus I, as a MacOS user, can not access it, due to me not being able to clear enough stoarge for installation of Windows 10. Is there any way to solve this problem?

20200915, 15:26  #9  
Sep 2009
11101100100_{2} Posts 
Quote:
The first step for 2^n+1 or 2^n1 is to look it up in http://factordb.com/ and see if it's fully factored. If not it will be a very big job to factor. Sorry to be so discouraging but you would be wasting time trying to factor it with yafu. If you want to install yafu try it's thread: https://mersenneforum.org/forumdisplay.php?f=96 Chris 

20200919, 05:51  #10 
Sep 2020
7 Posts 
New results on factoring 2^2187+1
A few days ago, I have finally found how to find new factors using Prime95 without refinding old ones, and I have found a new prime factor of c400 (previously the only factor not yet fully factorized), which is 6326666886932800988419273258756815291776881. Thus, the composite factor is now reduced to c357. (It seems that I have made a mistake in one of my previous thread, since I tend to mix up 2187(3^7) and 2197(13^3) quite often.)
Last fiddled with by StrongestStrike on 20200919 at 05:52 
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