20200925, 15:50  #1662 
Nov 2019
3×19 Posts 
TIL my largest factor is not even in the top 300.
https://www.mersenne.ca/exponent/99797147 (32 digits, 105 bits) https://www.mersenne.ca/pm1user/1 (need 27 digits, 121 bits to get in top 300). 
20200925, 16:10  #1663 
"James Heinrich"
May 2004
exNorthern Ontario
6074_{8} Posts 

20200926, 00:26  #1664  
Random Account
Aug 2009
U.S.A.
5^{3}·13 Posts 
Quote:


20200926, 20:09  #1665 
May 2013
Poland
3·5^{2} Posts 
I've found 1400+ P1 factors, and 9 of them are in the top300. My biggest factor is in 23rd position.

20200929, 17:29  #1666 
Sep 2002
2×5×7×11 Posts 
P1 found a factor in stage #1, B1=723000.
UID: Jwb52z/Clay, M100271917 has a factor: 77514042504246954650663761 (P1, B1=723000) 86.003 bits. 
20200929, 21:36  #1667 
Dec 2016
3·13 Posts 
20200929 00:19 M235871 has a factor: 1354753690999656789045256961
20200929 02:32 M339331 has a factor: 167369080256159138493834809 20200929 06:29 M289789 has a factor: 75593232163993815783204345943 20200929 07:45 M1871603 has a factor: 470279274234060910537 Individually they are nothing special, but 4 factors in 8 hours is really lucky. Normally I get 1 per day if things go well. 
20200929, 21:49  #1668 
"James Heinrich"
May 2004
exNorthern Ontario
2^{2}×3^{3}×29 Posts 
M44053 has a 119.154 bit factor: 739364366231468476552737013655785457
Notable in that it's the first ECM factor I've found in 8 years (mostly for lack of trying). Also an excellent segue to introduce the reworking of the Top Factors section of my site: https://www.mersenne.ca/userfactors This replaces the Top P1 Factors section but now adds ECM factors as well. 
20200929, 22:30  #1669  
Mar 2019
2^{3}·13 Posts 
Quote:


20200929, 22:43  #1670  
"James Heinrich"
May 2004
exNorthern Ontario
110000111100_{2} Posts 
Quote:
Longer answer: PrimeNet thinks they were. Many of them certainly were. Unfortunately, back in the old days (2010 and older, perhaps more recently) PrimeNet didn't keep nearly as much data as it should about submissions  in the early days PrimeNet would just "guess" on how a factor was found based on the size of the factor (if <xxbit then TF, elseif <yybit then P1, else ECM) so many older factors are incorrectly credited to ECM when they were actually found by P1 or even TF. In generating the lists on mersenne.ca I have already filtered out the FECM results where the factor is smaller than the PrimeNetdefault TF level. I'm fairly certain that all these are falseECM results, but I'm also fairly certain that there are some falseECM results still in there. The data has long since been lost (it was never recorded) so it's not easy to know for certain. Certainly small ones should likely be found by TF, very large ones by ECM, smooth ones by P1, etc, but there's always a boundary area between the methods where a factor could conceivably be found by several methods. But recent results (last... 5? years) should (nearly) all be accurate in terms of the correct factoring method, date of discovery, etc. 

20200930, 02:34  #1671 
Romulan Interpreter
Jun 2011
Thailand
21254_{8} Posts 
5 or 6 of the first 10 are (S)NFS factors. They made big news at their times (see 1061, the most recent, it was discussed on this forum and acclaimed a lot when it came. When sieving was started (it was announced), people here were betting on how large the factors will be, or even on the fact that it will be a 2way or 3way split (in fact, I think I was the only one betting on 3way split, for fun, just to be "different" haha, even if all the odds were against ). Maybe the others 3 or 4 are NFS, too. But PrimeNet doesn't record NFS stuff, so it recorded the factors like ECM. Maybe a mention is in order. The ECM all times records (for all types of numbers) are somewhere at 83 digits (if my memory serves right) and the first positions in tops are NOT mersenne numbers, so, for sure, those factors in top of your list aren't ECM.
Last fiddled with by LaurV on 20200930 at 02:41 
20200930, 10:31  #1672 
"James Heinrich"
May 2004
exNorthern Ontario
2^{2}·3^{3}·29 Posts 
If you want to provide me a sublist of factors from that list that cannot possibly be ECM, or perhaps some criteria that I could walk through the database and weed out the nonECM ones (as I did with the belowTFlimit ones) I'd be happy to trim the database.

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