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-   -   Sequence terminations and merges (https://www.mersenneforum.org/showthread.php?t=11837)

wolfcrey 2013-05-26 13:39

[QUOTE=Jatheski;341013][URL="http://factordb.com/aliquot.php?type=1&aq=993438"]993438[/URL] merges with [COLOR=#002099][COLOR=black]704302 at iteration 2502[/COLOR]
[COLOR=#002099]max height is 123 digits at iteration 1090[/COLOR]

[COLOR=#002099]This is my first sequence termination/merge :smile::max:[/COLOR]
[/COLOR][/QUOTE]

Congratulations

Batalov 2013-05-27 18:21

[URL="http://factordb.com/sequences.php?se=1&aq=346848&action=last"]346848[/URL] merges with 8844. Max height before merge = 119.

( 346848:i2218 = 8844:i70 = 94234 )

schickel 2013-05-28 07:38

[QUOTE=Batalov;341710][URL="http://factordb.com/sequences.php?se=1&aq=346848&action=last"]346848[/URL] merges with 8844. Max height before merge = 119.

( 346848:i2218 = 8844:i70 = 94234 )[/QUOTE]Boy, I tell ya, I spend all that time downloading a complete status update and someone has to go and spoil it.... :big grin:

Batalov 2013-06-01 04:02

Yeah, dude, you know me -- I'll do it again.

448476 merges with 1074. Max height before merge = 117.

448476:i2211 = 1074:i82 = 702044

Jatheski 2013-06-01 08:54

Congratulations !!

It seems easier for you :smile:

unconnected 2013-06-12 20:31

273540 merges with 3876.

Batalov 2013-06-12 20:34

1 Attachment(s)
Nice!

unconnected 2013-09-02 21:24

981924:i2012=768612:i4=[COLOR=#002099]3738516

[/COLOR]

unconnected 2013-10-25 07:08

[URL="http://factordb.com/aliquot.php?type=1&aq=259896&big=1"]259896[/URL] finally terminates with a cycle.

LaurV 2013-10-25 13:18

Beautiful! :tu:

Jatheski 2013-10-25 17:54

Congratulations !

Batalov 2013-10-26 06:10

Awesome! Congratulations!

fivemack 2013-10-26 15:35

Congratulations! We haven't had one of those for a while.

unconnected 2013-11-29 05:45

[URL="http://factordb.com/aliquot.php?type=1&aq=992370&big=1"]992370[/URL] terminates.[URL="http://factordb.com/aliquot.php?type=1&aq=992370&big=1"]
[/URL]

EdH 2013-11-30 05:00

[QUOTE=unconnected;360589][URL="http://factordb.com/aliquot.php?type=1&aq=992370&big=1"]992370[/URL] terminates.[URL="http://factordb.com/aliquot.php?type=1&aq=992370&big=1"]
[/URL][/QUOTE]
Excelent find! Congrats!!:party:

henryzz 2013-11-30 11:56

[QUOTE=unconnected;360589][URL="http://factordb.com/aliquot.php?type=1&aq=992370&big=1"]992370[/URL] terminates.[URL="http://factordb.com/aliquot.php?type=1&aq=992370&big=1"]
[/URL][/QUOTE]
Well done. You seem to be the only one finding them lately.

Batalov 2013-12-02 23:17

[URL="http://factordb.com/sequences.php?se=1&aq=209376&action=last20&fr=0&to=100"]209376[/URL] merges with 80880.
( 209376:i2537 = 891864 = 80880:i4 )

It had 23 downdrivers, give or take a few, before the merge.

unconnected 2013-12-18 09:13

[QUOTE=unconnected;362185]Taking 856710.[/QUOTE]
856710 suddenly [URL="http://factordb.com/aliquot.php?type=1&aq=856710&big=1"]terminates[/URL], taking 922194.

Sergiosi 2014-02-13 03:41

[URL="http://factordb.com/aliquot.php?type=1&aq=228522&big=1"]228522[/URL] terminates :smile:

unconnected 2014-02-13 05:39

[QUOTE=Sergiosi;366818][URL="http://factordb.com/aliquot.php?type=1&aq=228522&big=1"]228522[/URL] terminates :smile:[/QUOTE]
Nice run, congratulations!

wolfcrey 2014-02-15 16:37

[QUOTE=Sergiosi;366818][URL="http://factordb.com/aliquot.php?type=1&aq=228522&big=1"]228522[/URL] terminates :smile:[/QUOTE]
My congratulatios for this work
Wolfgang

unconnected 2014-02-16 11:37

[URL="http://factordb.com/aliquot.php?type=1&aq=629718&big=1"]629718[/URL] terminates.

unconnected 2014-06-06 13:20

I've recently noticed that [URL="http://factordb.com/aliquot.php?type=1&aq=927468&big=1"]927468[/URL] terminates. I don't know who did it (f1pokerspeed?).

henryzz 2014-06-14 07:56

[QUOTE=unconnected;375180]I've recently noticed that [URL="http://factordb.com/aliquot.php?type=1&aq=927468&big=1"]927468[/URL] terminates. I don't know who did it (f1pokerspeed?).[/QUOTE]
He has it reserved so that's the standard assumption unless he claims otherwise.

henryzz 2014-09-18 21:44

With gaining Dubslow's site back are we aware of any new merges or are there any merges that haven't made it into the first post here?

Dubslow 2014-09-18 22:18

Before I cleaned everything up, my merge finder had been reporting the following merges:
[code]273540 seems to have merged with 3876
927468 seems to have merged with 856710
467658 seems to have merged with 247296
981924 seems to have merged with 768612
346848 seems to have merged with 8844
856710 seems to have merged with 629718
209376 seems to have merged with 80880
448476 seems to have merged with 1074[/code]
These have been slowly accumulating since I went afk; the 8th merge occurred sometime in July, and around new years 5 of these had already occurred. I have no idea which may have been reported. What is certain is that I have [STRIKE]9200[/STRIKE] 9201 sequences.

henryzz 2014-09-18 22:47

467658 is the only sequence you mentioned that isn't in the first post. It is an odd one as it now only has 10 iterations. Usually a sequence doesn't come down to then merge with another sequence like this. Apart from the fact we name a sequence based on its smallest iteration I would say that 247296 merged with 467658.

467658:i10 = 247296:i3037 = 410529720

I feel like I should put this in the first post but putting it as a 10 iteration long sequence which reached 9 digits seems ridiculous.

Batalov 2014-09-18 22:55

[QUOTE=henryzz;383351]I feel like I should put this in the first post but putting it as a 10 iteration long sequence which reached 9 digits seems ridiculous.[/QUOTE]
It goes to the second post. There are a few like this one in it.

henryzz 2014-09-18 23:20

[QUOTE=Batalov;383354]It goes to the second post. There are a few like this one in it.[/QUOTE]
Good point I will add it along with another comment.

Batalov 2014-09-25 08:01

[URL="http://factordb.com/sequences.php?se=1&aq=660212&action=last20&fr=0&to=100"]660212[/URL] terminates at i2793 = 73.

LaurV 2014-09-25 17:45

Congrats! Nice, now we have a round number of them left... :wink:

unconnected 2014-11-22 19:06

[URL="http://factordb.com/aliquot.php?type=1&aq=945360&big=1"]945360[/URL] terminates :smile:

Batalov 2014-11-22 19:22

:w00t:

EdH 2014-11-22 20:01

[QUOTE=unconnected;388240][URL="http://factordb.com/aliquot.php?type=1&aq=945360&big=1"]945360[/URL] terminates :smile:[/QUOTE]
Congrats!

Interesting (to me, at least) that it barely grazed 120 digits at its apex,
as though it was a barrier,
or,
perhaps a goal,
which,
when once achieved,
left nothing more to prove...

unconnected 2014-11-30 23:28

[URL="http://factordb.com/aliquot.php?type=1&aq=407856&big=1"]407856[/URL] terminates. Max height=128.
.ps: Please update 1st post.

henryzz 2014-12-01 00:05

Congrats on another one.

It is much easier for me to update the first post when I have the information posted. Usually I end up showing the whole sequence on the factordb to get the max height/merges. While I am waiting for that to load I sometimes get distracted:blush: I am sort of assuming that the finisher of a sequence will know that info. If not I can look it up.

wolfcrey 2014-12-02 16:22

[QUOTE=unconnected;388745][URL="http://factordb.com/aliquot.php?type=1&aq=407856&big=1"]407856[/URL] terminates. Max height=128.
.ps: Please update 1st post.[/QUOTE]

Congratulations.
A new maximum height for terminated sequences.
Best regards
Wolfgang

Batalov 2014-12-30 18:38

one more for this year
 
[URL="http://factordb.com/sequences.php?se=1&aq=653448&action=last20&fr=0&to=100"]653448[/URL] terminates with p=601 (max height = 125)

P.S. Well, it merges with [STRIKE]7596[/STRIKE] 6160 (or maybe an even lower sequence), first. The graph is [URL="http://factordb.com/aliquot.php?type=1&aq=653448"]quite pretty[/URL].

RobertS 2014-12-30 21:01

and one more for this year
 
[URL="http://factordb.com/sequences.php?se=1&aq=675204&action=last20&fr=0&to=100"]675204[/URL] ends in a cycle :cool: (max height = 122)

wolfcrey 2014-12-31 15:05

[QUOTE=RobertS;391264][URL="http://factordb.com/sequences.php?se=1&aq=675204&action=last20&fr=0&to=100"]675204[/URL] ends in a cycle :cool: (max height = 122)[/QUOTE]
Congratulations to Robert and Serge!
Phantastic results at the end of the year.
Al the best for 2015
Wolfgang

rodac 2015-01-17 19:20

[QUOTE=Mini-Geek;234591]I'll note that this merged with 7596 a while before it terminated, but 7596 didn't quite make it to 100 digits, so I'll just count this as a prime termination.[/QUOTE]

1000336 i:1 = 959856, the first term is smaller than 1000336.

rodac 2015-01-18 08:53

[QUOTE=rodac;392713]1000336 i:1 = 959856, the first term is smaller than 1000336.[/QUOTE]

1000336 i:0 = 334280 i:10
334280 should be replacing 1000336 in the list of terminated sequences
334280 i:5156 = 601 Prime, all is done in the database.

henryzz 2015-01-24 13:39

Sorry for taking so long to respond. I have made the suggested change. If you find any others let me know.
If there are any sequences that were once merges but now terminate I suppose we could consider changing them. I am not sure what to mark a sequence if it merges with a lower sequence which then reaches a higher point before terminating.

rodac 2015-01-29 23:46

[QUOTE=henryzz;393413]Sorry for taking so long to respond. I have made the suggested change. If you find any others let me know.
If there are any sequences that were once merges but now terminate I suppose we could consider changing them. I am not sure what to mark a sequence if it merges with a lower sequence which then reaches a higher point before terminating.[/QUOTE]

OK. :smile:

these ones could be changed:

1011520 i: 1 = 474750 i: 7; 474750 ends i: 2724 = 43.

311202 ends i: 2729 = 43; 218966 is on downdriver run and is not a starting sequence.

373152 ends i: 4045 = 601 (merge with 6160)

894312 ends i: 6123 = 601 (merge with 6160)

453404 ends i: 3988 = 59 (merge with 334440)

493410 ends i: 4141 = 109 (merge with 228522)

920478 ends i: 5987 = 7 (merge with 163716)

schickel 2015-01-30 00:47

The way I had been marking terminations that were merges with a terminated sequence was as a merge with the terminated sequence. After Wolfgang started updating his site again, I asked him which he prefers and he marks those sequence just as straight terminations, so that's how I started marking them.

I called out the couple that merged with 6160 because Wolfgang calls that sequence out as a pretty famous [URL="http://www.aliquot.de/aliquote.htm"]one[/URL] and I thought that another sequence that merged with one that terminated so many other linked sequences was noteworthy:[quote=Wolfgang Creyaufm├╝ller]At Christmas 2001 Varona terminated the sequence 6160 and 1797[sup]*[/sup] numbers in (1, 10^6] changed their family status.[/quote]-------------
[sup]*[/sup] I wonder what the top ten for "terminated sequences that other sequences merge into" looks like.....

henryzz 2015-01-30 18:59

[QUOTE=rodac;393964]OK. :smile:

these ones could be changed:

1011520 i: 1 = 474750 i: 7; 474750 ends i: 2724 = 43.

311202 ends i: 2729 = 43; 218966 is on downdriver run and is not a starting sequence.

373152 ends i: 4045 = 601 (merge with 6160)

894312 ends i: 6123 = 601 (merge with 6160)

453404 ends i: 3988 = 59 (merge with 334440)

493410 ends i: 4141 = 109 (merge with 228522)

920478 ends i: 5987 = 7 (merge with 163716)[/QUOTE]
I will hopefully get to these this weekend. Did you check whether the max hight on any of them increased?

rodac 2015-01-30 19:48

[QUOTE=henryzz;394025]I will hopefully get to these this weekend. Did you check whether the max hight on any of them increased?[/QUOTE]

Sorry I have not checked the maximum height in the DB. :smile:

unconnected 2015-02-17 12:25

[URL="http://factordb.com/aliquot.php?type=1&aq=843528&big=1"]843528[/URL] terminates.

unconnected 2015-02-26 12:21

[URL="http://factordb.com/aliquot.php?type=1&aq=966444&big=1"]966444[/URL] terminates.

EdH 2015-02-26 16:48

[QUOTE=unconnected;395653][URL="http://factordb.com/aliquot.php?type=1&aq=843528&big=1"]843528[/URL] terminates.[/QUOTE]
[QUOTE=unconnected;396434][URL="http://factordb.com/aliquot.php?type=1&aq=966444&big=1"]966444[/URL] terminates.[/QUOTE]
Excellent!! Two for Two!!

wolfcrey 2015-02-28 09:07

[QUOTE=unconnected;396434][URL="http://factordb.com/aliquot.php?type=1&aq=966444&big=1"]966444[/URL] terminates.[/QUOTE]

congratulations:smile:

unconnected 2015-03-02 06:45

101844:i2541 = 638288:i10, so 638288 can be marked as "merge".

schickel 2015-03-03 08:22

[QUOTE=unconnected;396783]101844:i2541 = 638288:i10, so 638288 can be marked as "merge".[/QUOTE]Wow, another one where extending the lower sequence sneaks up and blackjacks the higher one....nice!

wolfcrey 2015-03-03 15:57

[QUOTE=unconnected;396783]101844:i2541 = 638288:i10, so 638288 can be marked as "merge".[/QUOTE]

It's marked [IMG]http://www.mersenneforum.org/images/icons/icon7.gif[/IMG]

Batalov 2015-03-03 19:53

...and marked :fusion::showoff:
Congrats! Three-for-three!

unconnected 2015-03-31 14:55

[URL="http://factordb.com/aliquot.php?type=1&aq=706200&big=1"]706200[/URL] terminates.

wolfcrey 2015-04-03 07:31

[QUOTE=unconnected;399007][URL="http://factordb.com/aliquot.php?type=1&aq=706200&big=1"]706200[/URL] terminates.[/QUOTE]

A very fine result (C125).

rodac 2015-04-05 13:26

I have found out that some "little" side-sequences and terminating sequences (maximum height less than C80) were missing in the database.

When I ask the database I have (after a long time) the asked sequence with the mention "checked - new".

Like 228870 who merges with 11352 at i: 1474, max.height C58.

fivemack 2015-04-20 22:20

337662:3217 is equal to 37104 (which is 30352:2); I think this is the first merge I've found

unconnected 2015-04-23 06:32

[URL="http://factordb.com/aliquot.php?type=1&aq=860076&big=1"]860076[/URL] terminates.

wolfcrey 2015-05-01 04:29

Congratulations to fivemack and unconnected.

Happy5214 2015-06-16 02:34

yoyo@home terminates 700818
 
I don't know if yoyo has noticed yet, but I would like to congratulate yoyo@home for terminating 700818 after 3,259 terms!

Dubslow 2015-06-16 04:28

"I" noticed when it was updated on my webpage a few hours ago. (Sent me a nice email :smile: but I only just got back to my computer)

yoyo 2015-06-17 16:32

[QUOTE=Happy5214;404156]I don't know if yoyo has noticed yet, but I would like to congratulate yoyo@home for terminating 700818 after 3,259 terms![/QUOTE]

Yes, I saw it. It dropped into my DONE folder.

Dubslow 2015-06-18 03:47

Apparently I need to make my merge finding script email me when it finds something. Some snippets from its log:

[code]2015-03-04 - 06:47:01 Merge finder starting
2015-03-04 - 18:47:01 Merge finder starting
2015-03-04 - 18:47:01 638288 seems to have merged with 101844[/code]

[code]2015-03-06 - 06:47:01 Merge finder starting
2015-03-06 - 06:47:01 638288 seems to have merged with 101844
2015-03-06 - 18:47:01 Merge finder starting
2015-03-06 - 18:47:01 690642 seems to have merged with 207228
2015-03-06 - 18:47:01 638288 seems to have merged with 101844[/code]

[code]2015-04-23 - 18:47:01 Merge finder starting
2015-04-23 - 18:47:02 690642 seems to have merged with 207228
2015-04-23 - 18:47:02 638288 seems to have merged with 101844
2015-04-24 - 06:47:02 Merge finder starting
2015-04-24 - 06:47:02 638288 seems to have merged with 101844
2015-04-24 - 06:47:02 337662 seems to have merged with 30352
2015-04-24 - 06:47:02 690642 seems to have merged with 207228[/code]

The first merge was found by unconnected, the third by fivemack (though it has yet to make its way into the head posts). The second, 690642 merging with 207228, seems to have gone unnoticed by anyone. Keeping in mind that the merge may have been reported to the FDB a few days before the merge detector found it, who could have done it? yoyo@home presumably...?

(Edit: Apparently I [URL="https://github.com/dubslow/MersenneForumAliquot/commit/596d83404dba68cb0a041f595f1dfa5f2e05bf13"]missed[/URL] the comma separating the subject and body arguments, and the function silently ignored wrong numbers of arguments... whoops)

Dubslow 2015-06-18 06:15

[QUOTE=Dubslow;404312]The second, 690642 merging with 207228, seems to have gone unnoticed by anyone. Keeping in mind that the merge may have been reported to the FDB a few days before the merge detector found it, who could have done it?[/QUOTE]

[url]http://mersenneforum.org/search.php?searchid=1640667[/url]

Apparently it was RichD, though it would seem he didn't notice it.

Edit: The search for the mergee sequence revealed nothing.

ChristianB 2015-06-30 15:33

This is what alimerge.py just told me:
[QUOTE]335452 seems to have merged with 30450[/QUOTE]

Edit: forget about it, I think it's already known because I added 335452 by myself

ChristianB 2015-07-03 05:01

yoyo@home finished 387696, congratulations.

Happy5214 2015-07-19 07:34

Another for yoyo@home!
 
Another termination for yoyo@home! This one is 804192. Congrats!

yoyo 2015-07-27 05:37

Another one, 267102 finished.

yoyo 2015-11-05 13:39

Sequence 336180 finished.

Drdmitry 2015-12-13 13:05

One more merge from yoyo: 110304 merges with 45672. Congratulations!

Dubslow 2015-12-13 18:41

Specifically, 110304:i2701 == 45672:i5 == 553848, which has 2 "aliquot parents": 320232 and 369192 respectively.

Drdmitry 2016-01-04 12:33

Another merge from yoyo: 636552:i38 = 522032:i1844. Congratulations!

yoyo 2016-01-23 07:11

Sequence 519678 finished.

unconnected 2016-02-02 07:45

389088 [URL="http://factordb.com/aliquot.php?type=1&aq=389088&big=1"]terminates[/URL].

Dubslow 2016-02-02 07:51

[QUOTE=unconnected;424958]389088 [URL="http://factordb.com/aliquot.php?type=1&aq=389088&big=1"]terminates[/URL].[/QUOTE]

Congrats! Is that the first termination with a max height >= 130?

unconnected 2016-02-02 08:09

There are at least one more sequence finished by RichD (690642) with height > 130. The first post isn't updated since mid-2015, maybe we have 1 or 2 more.

henryzz 2016-02-02 11:37

[QUOTE=yoyo;423696]Sequence 519678 finished.[/QUOTE]

How? It isn't finished in the factordb. Has a sequence merged with it?

edit: other than this sequence we are now upto date I think. Correct me if there are any mistakes.

yoyo 2016-02-02 15:03

Looks as it has finished:
[url]http://factordb.com/aliquot.php?type=1&aq=519678[/url]

LaurV 2016-02-02 15:55

[QUOTE=henryzz;424976]How? It isn't finished in the factordb. Has a sequence merged with it?[/QUOTE]
It looks quite finished to me

henryzz 2016-02-02 23:34

Dunno what I looked at earlier. Added

unconnected 2016-02-15 09:29

529866 [URL="http://factordb.com/aliquot.php?type=1&aq=529866&big=1"]terminates[/URL] (not by me, assume it was Robert who reserved this sequence)

unconnected 2016-02-24 06:36

735096 [URL="http://factordb.com/aliquot.php?type=1&aq=735096&big=1"]terminates[/URL].

yoyo 2016-03-12 11:32

[URL="http://factordb.com/aliquot.php?type=1&aq=474376"]474376 terminates.[/URL]

ChristianB 2016-04-07 13:52

Sequence [URL="http://factordb.com/sequences.php?se=1&aq=798792&action=last20"]798792[/URL] ([URL="http://factordb.com/aliquot.php?type=1&aq=798792&big=1"]graph[/URL]) terminates, credit goes to an unknown user because it was not reserved.

yoyo 2016-04-07 18:17

[QUOTE=ChristianB;430949]Sequence [URL="http://factordb.com/sequences.php?se=1&aq=798792&action=last20"]798792[/URL] ([URL="http://factordb.com/aliquot.php?type=1&aq=798792&big=1"]graph[/URL]) terminates, credit goes to an unknown user because it was not reserved.[/QUOTE]

YAFU@home did it ;)

ChristianB 2016-05-03 11:36

[QUOTE]632880 seems to have merged with 547776[/QUOTE]
Thanks to yafu@home.

Drdmitry 2016-05-03 12:32

866388 terminates. Also thanks to yafu@home.

Drdmitry 2016-05-11 15:12

Another remarkable merge from yafu@home: [URL="http://factordb.com/sequences.php?se=1&aq=173988&action=last20"]173988[/URL] merges with 27860.

More exactly, 173988:i6537 = 27860:i19

unconnected 2016-05-11 15:20

Nice catch! :smile:

Drdmitry 2016-06-16 12:10

488094 merges with 38664 (found by yafu@home)
More exactly, 488094:i2201 = 38664:i1

yoyo 2016-06-30 18:58

Aliquot sequence 382248 has terminated!!!
 
The minions terminated sequence 382248

[img]http://factordb.com/aliquot.php?type=1&aq=382248[/img]

yoyo 2016-07-01 06:49

Sequence 244872 also terminated.

[url]http://factordb.com/aliquot.php?type=1&aq=244872[/url]

unconnected 2016-08-13 21:00

862002 finishes! yafu@home :smile:

Drdmitry 2016-08-14 15:49

375060 merges with 660 (found by some anonymous helper)
More exactly, 375060:i3195 = 660:i25 = 14700

Drdmitry 2016-09-29 13:57

A remarkable merge found by yafu@home: 797640 merges with 133500.
More exactly, 797640:i7440 = 133500:i7.


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