mersenneforum.org  

Go Back   mersenneforum.org > Factoring Projects > Aliquot Sequences

Reply
 
Thread Tools
Old 2009-09-11, 15:12   #23
Andi47
 
Andi47's Avatar
 
Oct 2004
Austria

9B216 Posts
Default

Quote:
Originally Posted by 10metreh View Post
I've listed it as a termination - I think it should only be a merge if the sequence that it merges into is open.

But this would cause problems if someone found a merge, countinued working on the merged sequence, and terminated it...

...but luckily we haven't had that happen yet.
Then it would only be a "merge" as long as it is not terminated.
Andi47 is offline   Reply With Quote
Old 2009-09-11, 15:17   #24
10metreh
 
10metreh's Avatar
 
Nov 2008

2×33×43 Posts
Default

Quote:
Originally Posted by Andi47 View Post
Then it would only be a "merge" as long as it is not terminated.
Right, this is getting a bit confusing. If the scenario I mentioned does happen, then I will get REALLY confused. Therefore all we need to do to get me really confused is to get biwema to work on all the sequences mentioned in the last column of the table in the first post. (i.e. 126792, 660, 102936 etc.)

Last fiddled with by 10metreh on 2009-09-11 at 15:18
10metreh is offline   Reply With Quote
Old 2009-09-11, 17:07   #25
Greebley
 
Greebley's Avatar
 
May 2009
Dedham Massachusetts USA

15138 Posts
Default

If a sequence can go from open ended to prime, then I think one could go from merge to prime as well.

I think the ultimate find would be a sequence that merges with itself. If so you have found a cycle that is hundreds or thousands long and beat the mere 28 that is the record now.

Last fiddled with by Greebley on 2009-09-11 at 17:10
Greebley is offline   Reply With Quote
Old 2009-09-11, 17:09   #26
10metreh
 
10metreh's Avatar
 
Nov 2008

2×33×43 Posts
Default

Quote:
Originally Posted by Greebley View Post
I think the ultimate find would be a sequence that merges with itself. If so you have found a cycle that is hundreds or thousands long and beat the mere 28 that is the record now.
My bet with myself is that a cycle at least 1000 iterations long will be found by the end of 2012.

(The chances are higher than you might expect - about 1/6 of the numbers below 1000000 do not terminate in a prime, but are either open or merged. So 276 does not just have to drop down to 276 to merge - it could drop to 306, 396 or any other number that merges with it and still a really long cycle would be formed.)

Last fiddled with by 10metreh on 2009-09-11 at 17:14
10metreh is offline   Reply With Quote
Old 2009-09-14, 19:50   #27
smh
 
smh's Avatar
 
"Sander"
Oct 2002
52.345322,5.52471

29×41 Posts
Default

I forgot to report this.

914850 terminates

Thanks to kar_bon for notifying mee.
smh is offline   Reply With Quote
Old 2009-09-15, 19:29   #28
unconnected
 
unconnected's Avatar
 
May 2009
Russia, Moscow

7×353 Posts
Default

546120 merges at i=1645 with 334034
unconnected is offline   Reply With Quote
Old 2009-09-15, 23:54   #29
Greebley
 
Greebley's Avatar
 
May 2009
Dedham Massachusetts USA

3×281 Posts
Default

I got another termination after reaching 115 digits at index 686 i.e. 507924 terminates with the same number of digits as my first termination.
Graph

The previous one to reach 115 digits, 151752 was 'third place' for highest sequence that terminates, so this would be 4th largest being 3x smaller.

Last fiddled with by Greebley on 2009-09-16 at 00:11
Greebley is offline   Reply With Quote
Old 2009-09-16, 14:27   #30
RobertS
 
RobertS's Avatar
 
Aug 2009
somewhere

3058 Posts
Default

546504 merges with 660 at i2378
RobertS is offline   Reply With Quote
Old 2009-09-17, 18:33   #31
RobertS
 
RobertS's Avatar
 
Aug 2009
somewhere

19710 Posts
Default

552018 is Prime!!!
RobertS is offline   Reply With Quote
Old 2009-09-18, 20:43   #32
Greebley
 
Greebley's Avatar
 
May 2009
Dedham Massachusetts USA

3·281 Posts
Default

I noticed a difference between the DB and the summary page while doing a check.

569244 merges, but it doesn't seem to be listed. Perhaps someone forgot to report it? In any case it belongs here and on the summary page as merged.

Edit: Same with 957726, and 974120.

Last fiddled with by Greebley on 2009-09-18 at 20:55
Greebley is offline   Reply With Quote
Old 2009-09-19, 07:34   #33
henryzz
Just call me Henry
 
henryzz's Avatar
 
"David"
Sep 2007
Cambridge (GMT/BST)

2·2,861 Posts
Default

Quote:
Originally Posted by Greebley View Post
I noticed a difference between the DB and the summary page while doing a check.

569244 merges, but it doesn't seem to be listed. Perhaps someone forgot to report it? In any case it belongs here and on the summary page as merged.

Edit: Same with 957726, and 974120.
none of those sequences have are mentioned anywhere on mersenneforum
if the merges we found by our project then they need claiming
henryzz is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Reserved for MF - Sequence 276 kar_bon Aliquot Sequences 97 2020-04-25 02:51
Primes in n-fibonacci sequence and n-step fibonacci sequence sweety439 And now for something completely different 17 2017-06-13 03:49
Figuring Out Sequence Merges Jayder Aliquot Sequences 13 2014-05-30 05:11
Novice Questions About Merges EdH Aliquot Sequences 4 2010-04-13 19:43
A New Sequence devarajkandadai Math 3 2007-03-20 19:43

All times are UTC. The time now is 05:19.

Thu Sep 24 05:19:49 UTC 2020 up 14 days, 2:30, 0 users, load averages: 1.31, 1.23, 1.20

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.