20160316, 20:23  #1 
Sep 2008
Masontown, PA
26_{16} Posts 
P1 factoring attempts at smallestremaining Mersenne numbers with no known factors
Hello, Geniuses,
I recently ran 4month long P1 tests on M1277, M1619, M1753, and M2137. I would like to ask for your opinion on what I should do next, please. I still have the 244 MB files generated by the tests, am I able to increase the B1 and B2 for these tests and, essentially, pick up where I left off? If so, should I do that since I already have so much time invested? Thank you for your time and any explanations provided! 
20160316, 21:11  #2 
"Victor de Hollander"
Aug 2011
the Netherlands
2^{3}·3·7^{2} Posts 
If you want to attempt to factor these low Mersenne numbers, you'll want to run ECM curves with high bounds. ECM with B1=800,000,000 for starters. Prime95 has options to do that. You could also give GMPECM a try for the stage 2. Curves wirh higher bounds can find larger factors, but take longer to complete.

20160316, 21:26  #3  
Sep 2008
Masontown, PA
2·19 Posts 
Quote:
I am running ECM curves at B1=800,000,000 and B2=80,000,000,000, but on my PC 1 curve takes 2 hours to run, and according to the ECM chart, there are still over 300,000 curves to be run for these numbers at those bounds. I was hoping that P1 factoring would find a nice, "smooth" factor and save time. In the 4 months it took my P1 factoring to complete, I could have only completed a few thousand curves of ECM, still a small percentage. And, again, I was hoping that, since I have already spent 4 months on P1 factoring, that I could up the bounds and pick up where I left off and maybe find a decentsized factor that was bigger than the 65digit "limit" those bounds imply. Thank you again! 

20160316, 21:39  #4 
P90 years forever!
Aug 2002
Yeehaw, FL
2^{4}×3^{2}×53 Posts 
For these small Mersennes it is an absolute must to use prime95 for stage 1 and GMPECM for stage 2. There are forum threads that show how to do this.

20160316, 22:01  #5  
Sep 2008
Masontown, PA
2×19 Posts 
Quote:
I am melancholy that I have been doing things the wrong way and have been wasting precious time. Thank you for letting me know, I am sorry to waste everyone's time. I will try to find how to start using GMPECM. Thank you for everything Prime95 has given and taught me. 

20160316, 22:19  #6 
"Curtis"
Feb 2005
Riverside, CA
19×263 Posts 
I am running ECM with large bounds (B1 = 4.5e9 B2 = 2e14) on M1277. I have 3 Xeon cores doing so, making slow progress but thus far too lazy to submit manual curve results to George.
1277 has had by far the most work done, so it is least likely to produce a factor per unit of CPU time invested. I'd personally like the help finishing a t65 on it, but the other three get less attention so there's reason to take shots at those too. I second the suggestion to run curves at B1 no lower than 8e8 on these four. As for getting GMPECM to work with P95, P95 needs GmpEcmHook=1 in the settings file (prime.txt or local.txt, I forget). B2 is set no higher than B1, and the results file saves the residue from stage 1. GMPECM is then run with resume <inputfile, B1 set to 1, and B2 set to whatever you like (or, perhaps, not set and GMPECM will pick it for you). Lots more detail if you find the other thread. Good luck! 
20160316, 22:45  #7 
Einyen
Dec 2003
Denmark
5^{2}·127 Posts 
I have previously done big P1 run and 2 big P+1 runs on M1277 using only GMPECM for both stage 1 and stage 2:
P1: B1=10^{12} B2=2.35*10^{17} P+1: B1=5*10^{11} B2=5.4*10^{16} P+1: B1=5*10^{11} B2=7.8*10^{16} I have the save files if anyone want to take them higher. 
20161018, 23:20  #8 
Sep 2003
5·11·47 Posts 
I would be interested in P1 or P+1 save files for small exponents.
For exponents in the low singledigitthousands, I think these files should be only a few hundred bytes long. The intermediate files (.bu or .bu2) might be very large (hundreds of MB), but the nonbu final savefile should be really tiny for those very small exponents, assuming the P1 or P+1 test actually ran to completion. Amazon EC2 cloud has some instances with large amounts of memory, all the way up to x1.16xlarge with 976 GiB and 32 cores, and x1.32xlarge with 1952 GiB and 64 cores. The spot prices are about $0.70/hour and $1.50/hour for these, and there are others with less memory for lower cost. I have no idea how long stage 2 might take with GMPECM, but if it's days rather than months then something might be feasible. When you guys did your tests, were you constrained by available memory or by CPU time, or both? Sadly, openmp does not seem to work properly with P1 for GMPECM, so only one thread could be used per exponent. If this bug could be fixed then perhaps it might go faster. Last fiddled with by GP2 on 20161018 at 23:21 
20161116, 19:07  #9  
Sep 2003
5×11×47 Posts 
Quote:
I obtained these save files and took them to: Pā1: B1=1014774826757 (unchanged) B2=4.55e18 P+1: B1=ā510021907147 (unchanged) B2=1.00e18 P+1: B1=ā512993898541 (unchanged) B2=9.15e17 with no result. Last fiddled with by GP2 on 20161116 at 19:18 

20161116, 22:21  #10  
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
3·7·227 Posts 
Quote:
I'm looking to try to ECM Factor a Prime or 2 for Primes under 20,000. 

20161214, 18:36  #11 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
11237_{8} Posts 
Interested in furthering P1 for sub 20,000 Exponents.
I put together this list of sub20,000 Exponents with the lowest B1/B2 done so far.
Granted even these are VERY large but I am thinking of taking these higher. I have a decent PC with 16GB of RAM running nothing but GIMPS. Unless the wiser among you advise this a a big waste of time... I am also going to run LOTS of ECM as well. My 2017 goal is to firstfactor at least 1 sub20,000 exponent. I listed the latest B1/B2 on record and who did that test. If any any you still have the the save files PM me. Code:
7127 63 60,000,000,000 4,800,000,000,000 Mikr 7621 63 60,000,000,000 4,800,000,000,000 Mikr 8291 62 60,000,000,000 4,800,000,000,000 Mikr 10399 63 10,000,000,000 100,000,000,000 bcp19 10463 63 10,000,000,000 500,000,000,000 bcp19 10771 63 10,000,000,000 500,000,000,000 bcp19 10831 63 10,000,000,000 100,000,000,000 bcp19 11027 63 10,000,000,000 100,000,000,000 bcp19 11159 63 10,000,000,000 100,000,000,000 bcp19 11251 63 10,000,000,000 100,000,000,000 bcp19 11351 63 10,000,000,000 100,000,000,000 bcp19 11423 63 10,000,000,000 100,000,000,000 bcp19 11467 63 10,000,000,000 100,000,000,000 bcp19 11483 63 10,000,000,000 100,000,000,000 bcp19 11489 63 10,000,000,000 100,000,000,000 bcp19 11657 63 10,000,000,000 100,000,000,000 bcp19 11821 63 10,000,000,000 100,000,000,000 bcp19 11839 63 10,000,000,000 100,000,000,000 bcp19 12149 63 10,000,000,000 100,000,000,000 bcp19 12161 63 10,000,000,000 100,000,000,000 bcp19 12269 63 10,000,000,000 100,000,000,000 bcp19 12281 63 10,000,000,000 100,000,000,000 bcp19 12377 63 10,000,000,000 100,000,000,000 bcp19 12517 63 10,000,000,000 100,000,000,000 bcp19 12637 63 10,000,000,000 100,000,000,000 bcp19 13007 63 10,000,000,000 500,000,000,000 bcp19 13217 63 10,000,000,000 100,000,000,000 bcp19 13219 63 10,000,000,000 100,000,000,000 bcp19 13327 63 10,000,000,000 100,000,000,000 bcp19 13523 63 10,000,000,000 100,000,000,000 bcp19 13597 63 10,000,000,000 100,000,000,000 bcp19 13691 63 10,000,000,000 100,000,000,000 bcp19 14153 63 10,000,000,000 100,000,000,000 bcp19 14173 63 10,000,000,000 100,000,000,000 bcp19 14243 63 10,000,000,000 100,000,000,000 bcp19 14447 63 10,000,000,000 100,000,000,000 bcp19 14489 63 10,000,000,000 100,000,000,000 bcp19 14557 63 10,000,000,000 100,000,000,000 bcp19 14723 63 10,000,000,000 100,000,000,000 bcp19 14867 63 10,000,000,000 100,000,000,000 bcp19 14951 63 10,000,000,000 9,887,122,214,540,710 bcp19 15017 63 10,000,000,000 100,000,000,000 bcp19 15077 63 10,000,000,000 100,000,000,000 bcp19 15259 63 10,000,000,000 100,000,000,000 bcp19 15349 63 10,000,000,000 100,000,000,000 bcp19 15451 63 10,000,000,000 100,000,000,000 bcp19 15497 63 10,000,000,000 100,000,000,000 bcp19 15559 63 1,446,830,000 43,643,783,079 Jayder 15643 63 10,000,000,000 100,000,000,000 c10ck3r 15649 63 1,446,830,000 43,643,783,079 Jayder 16057 63 1,446,830,000 43,643,783,079 Jayder 16061 63 1,851,000,000 43,643,783,079 Jayder 16253 63 1,446,830,000 43,643,783,079 Jayder 16349 63 10,000,000,000 100,000,000,000 c10ck3r 16369 63 10,000,000,000 100,000,000,000 c10ck3r 16381 63 10,000,000,000 100,000,000,000 c10ck3r 16649 63 984,343,260 49,217,163,000 Jocelyn Larouche 16673 63 982,360,150 49,118,007,500 Jocelyn Larouche 16843 63 20,000,000,000 200,000,000,000 blahpy 17053 63 10,000,000,000 100,000,000,000 blahpy 17077 63 949,978,502 47,498,925,100 Jocelyn Larouche 17203 63 1,935,060,000 35,360,118,869 Jayder 17239 63 20,000,000,000 100,000,000,000 David Campeau 17359 63 2,000,000,000 130,000,000,000 David Campeau 17393 63 1,172,220,000 35,360,118,869 Jayder 17471 63 2,840,000,000 2,840,000,000 Never Odd Or Even 17761 63 1,172,220,000 35,360,118,869 Jayder 17827 63 3,000,000,000 3,000,000,000 Sergiosi 18119 63 2,000,000,000 130,000,000,000 David Campeau 18149 63 1,172,220,000 35,360,118,869 Jayder 18341 63 1,172,220,000 35,360,118,869 Jayder 18397 63 1,172,220,000 35,360,118,869 Jayder 18413 63 1,172,220,000 35,360,118,869 Jayder 18439 63 1,172,220,000 35,360,118,869 Jayder 18457 63 1,172,220,000 35,360,118,869 Jayder 18539 63 1,172,220,000 35,360,118,869 Jayder 18553 63 1,172,220,000 35,360,118,869 Jayder 18583 63 1,172,220,000 35,360,118,869 Jayder 18587 63 1,172,220,000 35,360,118,869 Jayder 19013 63 24,250,000,000 50,000,000,000 Sergiosi 19157 63 1,172,220,000 35,360,118,869 Jayder 19219 63 1,172,220,000 35,360,118,869 Jayder 19373 63 1,172,220,000 35,360,118,869 Jayder 19423 63 1,172,220,000 35,360,118,869 Jayder 19433 63 1,172,220,000 35,360,118,869 Jayder 19483 63 1,172,220,000 35,360,118,869 Jayder 19501 63 1,172,220,000 35,360,118,869 Jayder 19507 63 10,000,000,000 100,000,000,000 bcp19 19531 63 10,000,000,000 100,000,000,000 bcp19 19583 63 10,000,000,000 100,000,000,000 bcp19 19709 63 10,000,000,000 100,000,000,000 bcp19 19753 63 10,000,000,000 100,000,000,000 bcp19 19813 63 10,000,000,000 100,000,000,000 bcp19 19853 63 10,000,000,000 100,000,000,000 bcp19 
Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Modular restrictions on factors of Mersenne numbers  siegert81  Math  23  20140318 11:50 
Mersenne prime factors of very large numbers  devarajkandadai  Miscellaneous Math  15  20120529 13:18 
Factors of Mersenne Numbers  asdf  Math  17  20040724 14:00 
Factoring Smallest Fermat Numbers  Erasmus  Factoring  32  20040227 11:41 
Factors of Mersenne numbers ?  Fusion_power  Math  13  20031028 20:52 