mersenneforum.org  

Go Back   mersenneforum.org > Factoring Projects > Aliquot Sequences

Reply
 
Thread Tools
Old 2021-09-02, 11:45   #1343
Happy5214
 
Happy5214's Avatar
 
"Alexander"
Nov 2008
The Alamo City

2×379 Posts
Default

24^57:i1901 merges with 1134:i9.

I'm also done with 24^51, 24^53, and 24^55.

Last fiddled with by Happy5214 on 2021-09-02 at 11:46 Reason: Punctuation
Happy5214 is offline   Reply With Quote
Old 2021-09-04, 11:59   #1344
RichD
 
RichD's Avatar
 
Sep 2008
Kansas

11×313 Posts
Default

Base 57 can be added at the next update.
RichD is offline   Reply With Quote
Old 2021-09-05, 09:23   #1345
garambois
 
garambois's Avatar
 
"Garambois Jean-Luc"
Oct 2011
France

7×97 Posts
Default

Page updated.
Many thanks to all for your help !
Please let me know if you notice any errors.

Added bases : 56, 57.
For each of these bases, we have a sequence that ends in a cycle !

Still no non-trivial end of sequence for bases 276, 552, and 966.
garambois is offline   Reply With Quote
Old 2021-09-05, 14:52   #1346
RichD
 
RichD's Avatar
 
Sep 2008
Kansas

11×313 Posts
Default

Terminates:
57^45
57^73
RichD is offline   Reply With Quote
Old 2021-09-08, 20:39   #1347
RichD
 
RichD's Avatar
 
Sep 2008
Kansas

11×313 Posts
Default

Base 59 can be added at the next table update.
RichD is offline   Reply With Quote
Old 2021-09-11, 19:42   #1348
RichD
 
RichD's Avatar
 
Sep 2008
Kansas

11×313 Posts
Default

Base 60 should be ready at the next table update.
RichD is offline   Reply With Quote
Old 2021-09-12, 10:25   #1349
garambois
 
garambois's Avatar
 
"Garambois Jean-Luc"
Oct 2011
France

7×97 Posts
Default

Thank you very much RichD.
I will add bases 59 and 60 in the next update which will be in the next week or two.

What's new with regards to this project ?

The more new bases we have < 100 the better.
I'm actually thinking about a new way of analyzing the data that might be able to reveal a more complex law than the ones I've been looking for so far.
I don't know yet if my new idea will be successful, but I'm thinking of trying this new analysis around Christmas or during next spring.
I still have to think hard before I do it.
But this analysis can only be done on consecutive bases at first.
For now, we have all the bases exhaustively up to base 60.
In the future, I don't know yet if I will be able to extend the analysis up to base 1000, because we don't have all the bases < 1000 at all, there are holes.


But this new idea should not prevent us from continuing to make the calculations for the larger bases that will not be used directly in this new phase of the work !
garambois is offline   Reply With Quote
Old 2021-09-12, 13:39   #1350
RichD
 
RichD's Avatar
 
Sep 2008
Kansas

11·313 Posts
Default

Base 61 can be added at the next update.
RichD is offline   Reply With Quote
Old 2021-09-15, 21:54   #1351
RichD
 
RichD's Avatar
 
Sep 2008
Kansas

11×313 Posts
Default

Base 63 can be added at the next update.

Starting base 65. This is probably be my last table initialization for a bit while I catch up or other projects.
RichD is offline   Reply With Quote
Old 2021-09-19, 10:29   #1352
RichD
 
RichD's Avatar
 
Sep 2008
Kansas

D7316 Posts
Default

Base 65 can be added at the next update.
RichD is offline   Reply With Quote
Old 2021-09-27, 17:42   #1353
garambois
 
garambois's Avatar
 
"Garambois Jean-Luc"
Oct 2011
France

12478 Posts
Default

Page updated.
Many thanks to all for your help !

Added bases : 59, 60, 61, 63, 65.
Still no non-trivial end of sequence for bases 276, 552.
On the other hand, for the base 966, we have the non-trivial sequence 966^31 which ends with the prime number 41 !
garambois is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Broken aliquot sequences fivemack FactorDB 46 2021-02-21 10:46
Broken aliquot sequences schickel FactorDB 18 2013-06-12 16:09
A new theorem about aliquot sequences garambois Aliquot Sequences 34 2012-06-10 21:53
poaching aliquot sequences... Andi47 FactorDB 21 2011-12-29 21:11
New article on aliquot sequences schickel mersennewiki 0 2008-12-30 07:07

All times are UTC. The time now is 11:14.


Sun Oct 17 11:14:18 UTC 2021 up 86 days, 5:43, 0 users, load averages: 3.28, 3.81, 3.22

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, 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.