20160502, 10:33  #298 
Nov 2011
2×3^{2}×13 Posts 
I took over the last range which was not finished: 30000000  30500000 and now it is completed!
Now I can say that all odd aliquot cycles with the smallest term of 16 digits are known! Thanks very much to everyone involved. Without your help this project will never be finished. To be absolutely rigorous, an independent double check is needed. I leave it to enthusiastic ancestors. Last fiddled with by Drdmitry on 20160502 at 10:34 
20160502, 15:45  #299 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT)
2×5×569 Posts 
I would suggest thinking about how we can boincify 17 digits and possibly double check 16 digits with it.

20160503, 08:44  #300 
Mar 2015
Australia
1010010_{2} Posts 
Well done! Do you think anything would be achievable for even numbers, such as restricting it to numbers with small factors? Would probably be too hard to do all of them at this stage.

20160503, 12:56  #301 
Nov 2011
2×3^{2}×13 Posts 
What is next?
In principle, there are two natural extensions of the project.
The first project will by slightly less time consuming then the current project So it can definitely be accomplished in the reasonable time (less than a year). However it will interfere with EdH search. He mostly looked for cycles of length four, and our potential project will cover cycles of any length, so it still makes sense to perform it. I expect additional 2  3 cycles here. The second project will be much longer. I am not sure that it can be accomplished in a reasonable time (at least with the resources used for the current project). Additional problem here is that the amount of sequences which need to be dealt individually will rapidly grow. In the current project we had about 15 of them, but for 17d sequences there will be thousands of them. This is because 17d numbers are quite close to 64 bit numbers capacity, Last fiddled with by Drdmitry on 20160503 at 14:49 
20160503, 14:15  #302 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT)
1011000111010_{2} Posts 
It should be possible to add something like gmp to the program which would allow extension beyond 64bits.
The even search is going to need exhaustedly extending at some point. How is now different to later? I would hope that we can add resources if we boincify the project. 
20160511, 02:17  #303  
"Ed Hall"
Dec 2009
Adirondack Mtns
6264_{8} Posts 
Quote:


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