20200930, 13:26  #1673  
Apr 2020
169_{10} Posts 
Quote:
1061 1129 991 1193 1151 863 823 1153 853 827 1019 857 (both factors) 1031 887 877 941 859 821 929 I think this is all of them, though there's a small chance that I could have missed a GNFS factorization of a slightly larger exponent. 

20200930, 13:54  #1674  
"James Heinrich"
May 2004
exNorthern Ontario
17×191 Posts 
Quote:


20200930, 17:20  #1675  
"James Heinrich"
May 2004
exNorthern Ontario
17·191 Posts 
Ryan strikes again,
Quote:
And M4349 is now fullyfactored. Last fiddled with by James Heinrich on 20201001 at 18:26 

20201001, 04:45  #1676 
Romulan Interpreter
Jun 2011
Thailand
2^{4}×3×191 Posts 
Thanks, you saved me a lot of time to look for those.
Now the numbers in James' tables look more realistic (going down from 73 digits, and not from 150 ). That's more like "ECM range". Some of the anon results may still be NFS, but I won't bother. One silly idea would be to parse the PrimeNet DB for "sigma" info, as per George, the info is recorded on the server (but not shown by the "beautified" print routine), and I think all newer ECM result (like in the last yy years) should have stored b1/b2/sigma if they are trully ECM results. The lower side is not really interesting, so, eliminating TF/P1 possible factors or letting them in, won't hurt much either way. 
20201001, 11:05  #1677 
"James Heinrich"
May 2004
exNorthern Ontario
17·191 Posts 
If the server parsed and stored sigma values from the effort then it would also have correctly recorded the factoring method. It's the "ancient" results that are questionable because they were basically parsed for "Mx has a factor: y", ignoring all other data, and then guessed if that factor was TF/P1/ECM by the number of bits. So there's no corroborating data to confirm/deny ECM'ness of a factor.

20201001, 18:36  #1678 
Mar 2019
11·13 Posts 
https://en.wikipedia.org/wiki/Intege...a_special_form says: "All unfactored parts of the numbers 2^{n} − 1 with n between 1000 and 1200 were factored by a multiplenumbersieve approach in which much of the sieving step could be done simultaneously for multiple numbers, by a group including T. Kleinjung, J. Bos and A. K. Lenstra, starting in 2010."
So presumably we should exclude all ? 
20201001, 18:42  #1679 
"James Heinrich"
May 2004
exNorthern Ontario
110010101111_{2} Posts 
Whether we should or not is beyond my knowing, I'll let others weigh in on that. The data involved:
Code:
 exponent  date_found  factorbits  factor  +++++  1013  20100304 11:38:00  194.712  41120912566813018675472321435609728349473493582225344661873   1051  20100808 10:46:00  207.069  215738012818441827932337543036174144558274385301234576636299249   1051  20130809 11:24:00  227.5  305017906063256842921494808558019733856326299412534951989303214657199   1069  20130802 15:16:00  231.687  5557036167944892502666285821951871600803581019193074182942021552512721   1087  20100221 09:25:00  200.73  2664797814058212286560533454960446792210016180875809243599817   1163  20100418 20:06:00  239.239  1042816042941845750042952206680089794415014668329850393031910483526456487   1181  20100307 16:11:00  240.034  1808422353177349564546512035512530001279481259854248860454348989451026887   1187  20100130 14:50:00  206.576  153327833285998453874202767942570343649971393640068204571694369  
20201001, 21:00  #1680  
Apr 2020
A9_{16} Posts 
Quote:
Quote:


20201001, 21:09  #1681 
"James Heinrich"
May 2004
exNorthern Ontario
17·191 Posts 
I don't know if any of Bos,Kleinjung,etal have Primenet usernames. I have updated M1051, M1069 to belong to Ryan.

20201001, 23:28  #1682 
Apr 2010
Over the rainbow
9D8_{16} Posts 
M13113773 has a 70.491bit (22digit) factor: 1659317092853794607729 (P1,B1=1000000)
Interestingly, it should have been found by the earlier P1 Last fiddled with by firejuggler on 20201001 at 23:30 
20201001, 23:45  #1683 
"James Heinrich"
May 2004
exNorthern Ontario
CAF_{16} Posts 
Unfortuantely that's not at all uncommon, due in no small part to a buggy P1 implementation in early versions of Prime95.

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