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[QUOTE=schickel;289229]As noted, the estimate for the number of relations needed is usually off. For a number of this size you'll need in the vicinity of 10 million relations. Based on the post-processing attempts, you're nearly there.Keep an eye on the ratio of relations to ideals. You need more relations than ideals, and the larger the number the more extra you need.As you get closer, more relations will survive the reduction step, until they exceed the ideals that make it....[/QUOTE]
My laptop finished factoring 100!+3 . It was working on a c127 using nfs that I assumed from factorb was tested with ecm up to t35 (I formulated this based on the fact that many numbers in the sequence n!+3 around n=100 had primes in the range on 30-40 digits and still composite factors left. Thinking nothing special about 100!+3, I figured it was tested like the others). nfs after 46 hours spit out a p53 and a c74. I was annoyed that that meant my previous assumption was wrong and that it was only tested up to t30 (which is what I tested it too). It turns out that letting the program run another 332 curves at B1=1e6 spits out the 30 digit cofactor of the c74 in about 20 minutes on my laptop. If I would have searched up to t35, then nfs would have worked on a c98 instead of a c127 and only taken about 2 hours on my laptop. Oh well, at least I know that a c125-c130 takes a few days on my machine and the program works!! Any suggestions on a number to factor that is in that range? |
[QUOTE=cgy606;289249]My laptop finished factoring 100!+3 . It was working on a c127 using nfs that I assumed from factorb was tested with ecm up to t35 (I formulated this based on the fact that many numbers in the sequence n!+3 around n=100 had primes in the range on 30-40 digits and still composite factors left. Thinking nothing special about 100!+3, I figured it was tested like the others). nfs after 46 hours spit out a p53 and a c74. I was annoyed that that meant my previous assumption was wrong and that it was only tested up to t30 (which is what I tested it too). It turns out that letting the program run another 332 curves at B1=1e6 spits out the 30 digit cofactor of the c74 in about 20 minutes on my laptop. If I would have searched up to t35, then nfs would have worked on a c98 instead of a c127 and only taken about 2 hours on my laptop. Oh well, at least I know that a c125-c130 takes a few days on my machine and the program works!! Any suggestions on a number to factor that is in that range?[/QUOTE]An ECM miss is always irritating but they happen. At least you found the factors.
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[QUOTE]...Any suggestions on a number to factor that is in that range?[/QUOTE]
100!+14 :) |
[QUOTE=VolMike;289253]100!+14 :)[/QUOTE]
It has been factored now. |
[QUOTE=cgy606;289249]My laptop finished factoring 100!+3 . It was working on a c127 using nfs that I assumed from factorb was tested with ecm up to t35 (I formulated this based on the fact that many numbers in the sequence n!+3 around n=100 had primes in the range on 30-40 digits and still composite factors left. Thinking nothing special about 100!+3, I figured it was tested like the others). nfs after 46 hours spit out a p53 and a c74. I was annoyed that that meant my previous assumption was wrong and that it was only tested up to t30 (which is what I tested it too). It turns out that letting the program run another 332 curves at B1=1e6 spits out the 30 digit cofactor of the c74 in about 20 minutes on my laptop. If I would have searched up to t35, then nfs would have worked on a c98 instead of a c127 and only taken about 2 hours on my laptop. Oh well, at least I know that a c125-c130 takes a few days on my machine and the program works!! Any suggestions on a number to factor that is in that range?[/QUOTE]
There is no shortage of numbers to factor. Choose something that interests you. (The c114 co-factor of 5179^41-1 has had 2t35, just as an example.) I would suggest you use SIQS on the c74 if you find yourself in a similar situation in the future. |
[QUOTE=cgy606;289249]Oh well, at least I know that a c125-c130 takes a few days on my machine and the program works!! Any suggestions on a number to factor that is in that range?[/QUOTE]
The Oddperfect [URL="http://oddperfect.org/composites.html"]Composites[/URL] page was updated last week. I try to keep an assortment of numbers up to C159 available. |
[QUOTE=cgy606;289248]Hi,
I am typing as above the following code: [CODE]ecm(number,904) -B1ecm 1000000[/CODE] However, it runs ecm until the firsts factor is found then stops. Is there a way to tell it to run ecm until all curves are done regardless of how many factors it finds (in other words, keep running until it finishes that many curves). I looked at the docfile and then is a flag to tell ecm to find only one factor -one, hence if you do not include this flag it should factor until either the number of curves is done or the factorization is complete. Thank you,[/QUOTE] -one is a flag used by factor(), which in general is the only function in yafu which strives to completely factor the input. The rest of the functions are happy with finding one factor. ecm() doesn't respond to the -one flag. |
factor()
I don't think doing three P+1 in a row is very efficient. I would suggest once, before each ECM-level.
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I just got gmp-ecm 6.4 for my mac. I ran a couple hundred curves for a factor at b1=11M and I am pretty sure the program found a factor after 23 curves. However, the screen didn't display the factor. I know the program found a factor because the time required to perform step 1 and step 2 is displayed after each run and the time to perform decreases after step 23. However, the factor did not print out on the screen. Is the output save to some logfile like it is in yafu that I can access? Thanks
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[QUOTE=schickel;289229]As noted, the estimate for the number of relations needed is usually off. For a number of this size you'll need in the vicinity of 10 million relations. Based on the post-processing attempts, you're nearly there.Keep an eye on the ratio of relations to ideals. You need more relations than ideals, and the larger the number the more extra you need.As you get closer, more relations will survive the reduction step, until they exceed the ideals that make it....[/QUOTE]
Is it necessary to have more relations than ideals? Apparently this wasn't the case in the following example: Thu Sep 22 16:38:37 2011 Msieve v. 1.49 (SVN unknown) Thu Sep 22 16:38:37 2011 random seeds: cedff090 a39dc579 Thu Sep 22 16:38:37 2011 factoring 14154606037482006751216806823077551888056933202478369725975090478831148242241393450335291872156499420677923338442448578075087 (125 digits) Thu Sep 22 16:38:38 2011 searching for 15-digit factors Thu Sep 22 16:38:39 2011 commencing number field sieve (125-digit input) Thu Sep 22 16:38:39 2011 R0: -1987868138274461522151738 Thu Sep 22 16:38:39 2011 R1: 13133513326051 Thu Sep 22 16:38:39 2011 A0: -26643052651255895262595920303185 Thu Sep 22 16:38:39 2011 A1: 425415258744318522554351623 Thu Sep 22 16:38:39 2011 A2: 462414780831949533207 Thu Sep 22 16:38:39 2011 A3: -5125318744148335 Thu Sep 22 16:38:39 2011 A4: -781978918 Thu Sep 22 16:38:39 2011 A5: 456 Thu Sep 22 16:38:39 2011 skew 841754.40, size 6.392e-012, alpha -6.968, combined = 1.675e-010 rroots = 5 Thu Sep 22 16:38:39 2011 Thu Sep 22 16:38:39 2011 commencing relation filtering Thu Sep 22 16:38:39 2011 estimated available RAM is 2039.3 MB Thu Sep 22 16:38:39 2011 commencing duplicate removal, pass 1 Thu Sep 22 16:39:30 2011 error -15 reading relation 4627292 Thu Sep 22 16:39:32 2011 error -15 reading relation 4759833 Thu Sep 22 16:40:10 2011 error -15 reading relation 8200643 Thu Sep 22 16:40:11 2011 error -15 reading relation 8279114 Thu Sep 22 16:40:44 2011 found 1275637 hash collisions in 11050845 relations Thu Sep 22 16:41:44 2011 added 66 free relations Thu Sep 22 16:41:44 2011 commencing duplicate removal, pass 2 Thu Sep 22 16:41:57 2011 found 1019547 duplicates and 10031364 unique relations Thu Sep 22 16:41:57 2011 memory use: 49.3 MB Thu Sep 22 16:41:57 2011 reading ideals above 5570560 Thu Sep 22 16:42:03 2011 commencing singleton removal, initial pass Thu Sep 22 16:44:15 2011 memory use: 188.3 MB Thu Sep 22 16:44:15 2011 reading all ideals from disk Thu Sep 22 16:44:15 2011 memory use: 177.2 MB Thu Sep 22 16:44:16 2011 commencing in-memory singleton removal Thu Sep 22 16:44:18 2011 begin with [COLOR=red]10031364[/COLOR] relations and [COLOR=red]10239078[/COLOR] unique ideals Thu Sep 22 16:44:30 2011 reduce to 3874419 relations and 3043595 ideals in 20 passes Thu Sep 22 16:44:30 2011 max relations containing the same ideal: 18 Thu Sep 22 16:44:31 2011 reading ideals above 100000 Thu Sep 22 16:44:31 2011 commencing singleton removal, initial pass Thu Sep 22 16:45:40 2011 memory use: 94.1 MB Thu Sep 22 16:45:40 2011 reading all ideals from disk Thu Sep 22 16:45:41 2011 memory use: 139.1 MB Thu Sep 22 16:45:42 2011 keeping 3792920 ideals with weight <= 200, target excess is 22192 Thu Sep 22 16:45:43 2011 commencing in-memory singleton removal Thu Sep 22 16:45:44 2011 begin with 3874485 relations and 3792920 unique ideals Thu Sep 22 16:45:56 2011 reduce to 3866652 relations and 3784759 ideals in 11 passes Thu Sep 22 16:45:56 2011 max relations containing the same ideal: 200 Thu Sep 22 16:46:01 2011 removing 352708 relations and 324633 ideals in 28075 cliques Thu Sep 22 16:46:01 2011 commencing in-memory singleton removal Thu Sep 22 16:46:02 2011 begin with 3513944 relations and 3784759 unique ideals Thu Sep 22 16:46:15 2011 reduce to 3488541 relations and 3434448 ideals in 13 passes Thu Sep 22 16:46:15 2011 max relations containing the same ideal: 191 Thu Sep 22 16:46:19 2011 removing 255181 relations and 227106 ideals in 28075 cliques Thu Sep 22 16:46:20 2011 commencing in-memory singleton removal Thu Sep 22 16:46:21 2011 begin with 3233360 relations and 3434448 unique ideals Thu Sep 22 16:46:28 2011 reduce to 3218602 relations and 3192442 ideals in 8 passes Thu Sep 22 16:46:28 2011 max relations containing the same ideal: 181 Thu Sep 22 16:46:33 2011 relations with 0 large ideals: 69 Thu Sep 22 16:46:33 2011 relations with 1 large ideals: 28 Thu Sep 22 16:46:33 2011 relations with 2 large ideals: 563 Thu Sep 22 16:46:33 2011 relations with 3 large ideals: 7672 Thu Sep 22 16:46:33 2011 relations with 4 large ideals: 57011 Thu Sep 22 16:46:33 2011 relations with 5 large ideals: 242357 Thu Sep 22 16:46:33 2011 relations with 6 large ideals: 621490 Thu Sep 22 16:46:33 2011 relations with 7+ large ideals: 2289412 Thu Sep 22 16:46:33 2011 commencing 2-way merge Thu Sep 22 16:46:39 2011 reduce to 1831938 relation sets and 1805779 unique ideals Thu Sep 22 16:46:39 2011 ignored 1 oversize relation sets Thu Sep 22 16:46:39 2011 commencing full merge Thu Sep 22 16:47:37 2011 memory use: 186.7 MB Thu Sep 22 16:47:37 2011 found 921818 cycles, need 919979 Thu Sep 22 16:47:37 2011 weight of 919979 cycles is about 64687230 (70.31/cycle) Thu Sep 22 16:47:37 2011 distribution of cycle lengths: Thu Sep 22 16:47:37 2011 1 relations: 123737 Thu Sep 22 16:47:37 2011 2 relations: 112745 Thu Sep 22 16:47:37 2011 3 relations: 110493 Thu Sep 22 16:47:37 2011 4 relations: 96247 Thu Sep 22 16:47:37 2011 5 relations: 83290 Thu Sep 22 16:47:37 2011 6 relations: 69447 Thu Sep 22 16:47:37 2011 7 relations: 59341 Thu Sep 22 16:47:37 2011 8 relations: 49524 Thu Sep 22 16:47:37 2011 9 relations: 40208 Thu Sep 22 16:47:37 2011 10+ relations: 174947 Thu Sep 22 16:47:37 2011 heaviest cycle: 28 relations Thu Sep 22 16:47:38 2011 commencing cycle optimization Thu Sep 22 16:47:40 2011 start with 5454634 relations Thu Sep 22 16:47:56 2011 pruned 101932 relations Thu Sep 22 16:47:56 2011 memory use: 148.0 MB Thu Sep 22 16:47:56 2011 distribution of cycle lengths: Thu Sep 22 16:47:56 2011 1 relations: 123737 Thu Sep 22 16:47:56 2011 2 relations: 114910 Thu Sep 22 16:47:56 2011 3 relations: 113838 Thu Sep 22 16:47:56 2011 4 relations: 97698 Thu Sep 22 16:47:56 2011 5 relations: 84351 Thu Sep 22 16:47:56 2011 6 relations: 69873 Thu Sep 22 16:47:56 2011 7 relations: 59328 Thu Sep 22 16:47:56 2011 8 relations: 49141 Thu Sep 22 16:47:56 2011 9 relations: 39545 Thu Sep 22 16:47:56 2011 10+ relations: 167558 Thu Sep 22 16:47:56 2011 heaviest cycle: 27 relations Thu Sep 22 16:48:02 2011 RelProcTime: 563 Thu Sep 22 16:48:02 2011 elapsed time 00:09:25 Thu Sep 22 16:48:02 2011 LatSieveTime: 5012.12 Thu Sep 22 16:48:02 2011 -> Running matrix solving step ... |
[QUOTE=swishzzz;289767]Is it necessary to have more relations than ideals? Apparently this wasn't the case in the following example:
[/QUOTE] No, as you found it is not strictly necessary. But it is highly typical to find num relations > unique ideals before the filtering will succeed. It would be a better question for jasonp (or others) as to why... |
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