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2020-09-30, 20:34   #606
EdH

"Ed Hall"
Dec 2009

3·372 Posts

Quote:
 Originally Posted by RichD I think 31^36 may have merged.
Found:
Code:
31^36:i2015 merges with 3762570:i457

 2020-09-30, 21:43 #607 unconnected     May 2009 Russia, Moscow 2·32·149 Posts Please reserve base 79 for me.
2020-10-01, 19:42   #608
garambois

"Garambois Jean-Luc"
Oct 2011
France

22×32×19 Posts

Quote:
 Originally Posted by EdH Found: Code: 31^36:i2015 merges with 3762570:i457 Not found earlier because it is above Jean-Luc's C80 listing.

Please, how could you find this

2020-10-01, 19:43   #609
garambois

"Garambois Jean-Luc"
Oct 2011
France

22·32·19 Posts

Quote:
 Originally Posted by unconnected Please reserve base 79 for me.

OK, thank you very much ! It will be done at the next update next weekend...

 2020-10-01, 22:20 #610 RichD     Sep 2008 Kansas D8216 Posts It appears 29^50 may have merged.
2020-10-02, 00:56   #611
EdH

"Ed Hall"
Dec 2009

10000000010112 Posts

Quote:
 Originally Posted by RichD It appears 29^50 may have merged.
Code:
 29^50:i1210 merges with 9999286:i5
But, there are many other merges (due to it terminating with a large number of small terms) and I don't know which to treat as the lowest.

Quote:
 Originally Posted by garambois Please, how could you find this
I wrote a script to work its way back through an Aliquot sequence via the factordb, identifying terms that have more than one source. The "More information" for Aliquot composite terms includes any previous composite Aliquot terms that result in that Aliquot sum. In the above example for RichD, if you look at "More information" for 2409946:
Code:
Others:
Aliquot sequence: 3012410
Aliquot sequence: 3340358
you can see two sources. By following the sources, you can reach a first term.

Unfortunately, my script also tends to crash the computer it is run on and I had some LAN trouble at the same time. Coincidence? Which preceded which? No answers. But I don't want to post the script due to the crashes.

Last fiddled with by EdH on 2020-10-02 at 00:58

2020-10-02, 15:12   #612
EdH

"Ed Hall"
Dec 2009

3·372 Posts

Quote:
 Originally Posted by EdH Code:  29^50:i1210 merges with 9999286:i5 But, there are many other merges (due to it terminating with a large number of small terms) and I don't know which to treat as the lowest. . . .
In the case of open sequences, the lowest starting term is considered the sequence into which others merge. What determines the sequence into which others merge for terminated sequences? Is it the lowest untouchable sequence or is it the terminating prime?

2020-10-02, 18:45   #613
Happy5214

"Alexander"
Nov 2008
The Alamo City

11000001112 Posts

Quote:
 Originally Posted by EdH In the case of open sequences, the lowest starting term is considered the sequence into which others merge. What determines the sequence into which others merge for terminated sequences? Is it the lowest untouchable sequence or is it the terminating prime?
Personally, I would skip describing the merge and just say it terminates at the prime/cycle. I don't think there's a satisfactory way to describe such a large number of merges in as quick a succession as that.

2020-10-02, 20:25   #614
EdH

"Ed Hall"
Dec 2009

3·372 Posts

Quote:
 Originally Posted by Happy5214 Personally, I would skip describing the merge and just say it terminates at the prime/cycle. I don't think there's a satisfactory way to describe such a large number of merges in as quick a succession as that.
That sounds OK, but for 29^50, it merged with something to take it to termination. I guess that it can still be left as just 29^50 terminated.

 2020-10-02, 20:30 #615 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 3×372 Posts The base 98 table should all be green at next update.
2020-10-03, 19:52   #616
garambois

"Garambois Jean-Luc"
Oct 2011
France

22·32·19 Posts

Quote:
 Originally Posted by EdH Code:  29^50:i1210 merges with 9999286:i5 But, there are many other merges (due to it terminating with a large number of small terms) and I don't know which to treat as the lowest. I wrote a script to work its way back through an Aliquot sequence via the factordb, identifying terms that have more than one source. The "More information" for Aliquot composite terms includes any previous composite Aliquot terms that result in that Aliquot sum. In the above example for RichD, if you look at "More information" for 2409946: Code: Others: Aliquot sequence: 3012410 Aliquot sequence: 3340358 you can see two sources. By following the sources, you can reach a first term. Unfortunately, my script also tends to crash the computer it is run on and I had some LAN trouble at the same time. Coincidence? Which preceded which? No answers. But I don't want to post the script due to the crashes.

Thanks Edwin for these explanations !

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