20090320, 07:25  #1 
"Frank <^>"
Dec 2004
CDP Janesville
2·1,061 Posts 
Aliquot ranges and status
As of August 2011, all sequences with a starting number below 1000000 have been calculated to a minimum height of 110 digits (some may have dropped back below that size due to recent downdriver activity), and there are 9253 open sequences in that range.
We are, I believe, the largest project right now that is actively pursuing sequences throughout the entire range. Any open ended sequence is available for reservation, with the following possible exceptions: The Lehmer Five, 276, 552, 564, 660, & 966, along with 1074, 1134, 19560 & 204828 are currently maintained by Paul Zimmermann. Please coordinate any work with him. The 74 sequences from 120010000, with the exception of 4788, are maintained by Christophe Clavier and associates. Email Christophe Clavier to reserve these. 4788 is currently reserved as a team project by the members of Mersenneforum. Its primary interest is due to work originally done by Wieb Bosma. His work showed a merge occuring after an extensive run. Further investigation by Clifford Stern showed that it actually merges with 4788 rather than 16100. Since the merge occurs after 6400+ lines, the combined sequence pair 314718/4788 is the longest open sequence at 9000+ lines. Fortunately, stability was achieved at line 2470 and 171 digits with the loss of the '3' factor, eventually followed by a short downdriver run. Stability has now been reached again at 166 digits. Check the 4788 thread for the latest info. Sequences in the range 1011699840 are of particular interest to Clifford Stern. This range has been completed to a minimum of 110 digits by the forum, with selected sequences being pursued higher by Clifford. If you wish to work in this range, check with Clifford, he may have completed work that has not been uploaded to the Factoring Database yet. Most sequences that he is working will be called out in the reservation thread here. 10000004000000 has been completed up to 71 digits by axn. Currently there is no active project working above 1000000. Everything else is open for pursuit. Check the reservation thread for current reservations before embarking on any largescale effort. Links to sites with more indepth information are available here. Advice and help on getting started with Aliquot Sequences are available here, just post any questions or problems you might have. Advice and help on getting started with largescale factoring efforts are available over in the Factoring Forum. Last fiddled with by 10metreh on 20120808 at 18:47 Reason: PaulZ is now working 19560 as well 
20090324, 14:28  #2 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
I just asked Paul about the sequences he maintains. He mentioned that some time ago, he was looking for someone that could run a webbased interface to give access to these sequences with the option of submitting new factors so the sequence would be updated automatically. Does someone operate a web page like this? Maybe even with ECMNet server attached or some such? He'd transfer these 8 sequences then.
Alex 
20090324, 16:16  #3 
Jul 2003
So Cal
3^{2}·263 Posts 
Except for the ECMNet part, that describes Syd's database, http://factorization.ath.cx/search.php. The database understands ELF format for the bulk submission of factors, not Paul's fmt format, but I'll be happy to convert them and submit the sequences.
Greg 
20090324, 16:48  #4  
Oct 2004
Austria
9B2_{16} Posts 
Quote:


20090324, 16:55  #5 
Sep 2008
Krefeld, Germany
2·5·23 Posts 

20090324, 17:48  #6 
Oct 2004
Austria
2×17×73 Posts 

20090324, 18:02  #7  
Sep 2008
Krefeld, Germany
2×5×23 Posts 
Quote:
There is also no need to submit the sequences in order, you can start for example with lines 2000 to x and submit the first 2000 lines later, even mix the whole sequence up, mix it with another one, leave out the index numbers, etc. In most cases it recovers the sequences from it. Last fiddled with by Syd on 20090324 at 18:05 

20090324, 19:02  #8  
Feb 2004
2×3×43 Posts 
Quote:


20090325, 08:44  #9  
"Frank <^>"
Dec 2004
CDP Janesville
2×1,061 Posts 
Quote:
With the upsurge in interest here lately, I'd like to get something built in the not too distant future to take advantage of all the energy. 

20090713, 02:03  #10  
Sep 2008
Kansas
3567_{10} Posts 
Updating database
Quote:
Do we have to recreate the work for each index? I am willing to volunteer to help import the data if it is freely available. RichD. 

20090713, 02:22  #11 
May 2009
Dedham Massachusetts USA
843_{10} Posts 
The database does have toubles with squares over 2000, so I have had troubles with terms like 3701^2 for example (if 3701 is prime that is).
If you find your sequence you just added has a small term of 712 digits that didn't factor, then you may have to manually find the square root. Because of the feature Syd mentioned, once you fix the square root issue, your whole sequence shows up. 
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