mersenneforum.org  

Go Back   mersenneforum.org > Factoring Projects > Aliquot Sequences

Reply
 
Thread Tools
Old 2020-11-08, 15:51   #672
garambois
 
garambois's Avatar
 
"Garambois Jean-Luc"
Oct 2011
France

22·32·19 Posts
Default

Page updated !
All the bases have been updated !
I only had problems with base 29, but it's all fixed now.
Bases 72, 220 and 284 added.
There is no abnormal behavior for bases 220 and 284. But we still had to check.

Thank you all for your precious help !
I also thank you to check if nothing seems abnormal for the bases you have been working on after this big update.

Since last summer, we have accumulated a very large amount of new data. And it's still going on.

garambois is offline   Reply With Quote
Old 2020-11-12, 14:04   #673
EdH
 
EdH's Avatar
 
"Ed Hall"
Dec 2009
Adirondack Mtns

3·372 Posts
Default

The last two base 2 table holdouts have been convinced to turn green!
EdH is offline   Reply With Quote
Old 2020-11-12, 17:58   #674
garambois
 
garambois's Avatar
 
"Garambois Jean-Luc"
Oct 2011
France

22·32·19 Posts
Default

Okay, thank you very much Edwin.
The table of base 2 will be all green at the next update... And I love green !
garambois is offline   Reply With Quote
Old 2020-11-15, 10:40   #675
garambois
 
garambois's Avatar
 
"Garambois Jean-Luc"
Oct 2011
France

68410 Posts
Default

Page updated.
Many thanks to all for your help !

The next update will take place in 2 or 3 weeks, depending on the number of requests that will be posted here.
Because now, the calculations will progress more slowly, since the sequences have all arrived at large terms.
garambois is offline   Reply With Quote
Old 2020-11-22, 05:22   #676
VBCurtis
 
VBCurtis's Avatar
 
"Curtis"
Feb 2005
Riverside, CA

32·563 Posts
Default

How unusual is it to break 2^4 * 31? I don't think I've done it before tonight.

Edit: The sequence went 2^4 * 3 * 31 to 2^4 * 3 * 31^2 to 2^6 * 3 * 31, and picked up the downdriver a few terms later.

Last fiddled with by VBCurtis on 2020-11-22 at 05:24
VBCurtis is offline   Reply With Quote
Old 2020-11-22, 08:46   #677
garambois
 
garambois's Avatar
 
"Garambois Jean-Luc"
Oct 2011
France

22×32×19 Posts
Default

Please, which sequence ?
garambois is offline   Reply With Quote
Old 2020-11-22, 16:59   #678
VBCurtis
 
VBCurtis's Avatar
 
"Curtis"
Feb 2005
Riverside, CA

32·563 Posts
Default

13^64. It got down under 50 digits, but picked up 2 * 3 so it's back above 110 dig now.

13^58, 60, 62 can be updated on your page also.
VBCurtis is offline   Reply With Quote
Old 2020-11-22, 17:20   #679
EdH
 
EdH's Avatar
 
"Ed Hall"
Dec 2009
Adirondack Mtns

3×372 Posts
Default

Quote:
Originally Posted by VBCurtis View Post
How unusual is it to break 2^4 * 31? I don't think I've done it before tonight.

Edit: The sequence went 2^4 * 3 * 31 to 2^4 * 3 * 31^2 to 2^6 * 3 * 31, and picked up the downdriver a few terms later.
I scanned all the sequences for all the tables for the project page and came up with the following:

For 957 sequences that contain at least one 2n * 31 run, no matter the length, 74 of these sequences still have 2n * 31 within their last term, which leaves 883 which have broken it. I used values of 4 through 16 for n and this power may have changed within the run. I did not look for exponents for 31. If a sequence had more than one run of 2n * 31, only one was counted.
EdH is offline   Reply With Quote
Old 2020-11-22, 18:18   #680
VBCurtis
 
VBCurtis's Avatar
 
"Curtis"
Feb 2005
Riverside, CA

32×563 Posts
Default

That's not unusual, at all! I guess I just don't encounter 2^4 * 31 often enough to pay attention. I appreciate the data!
VBCurtis is offline   Reply With Quote
Old 2020-11-22, 19:01   #681
garambois
 
garambois's Avatar
 
"Garambois Jean-Luc"
Oct 2011
France

22·32·19 Posts
Default

Quote:
Originally Posted by VBCurtis View Post
13^64. It got down under 50 digits, but picked up 2 * 3 so it's back above 110 dig now.

13^58, 60, 62 can be updated on your page also.

Ok for 13^64, thanks...

The next update will take place next weekend.
garambois is offline   Reply With Quote
Old 2020-11-23, 22:05   #682
EdH
 
EdH's Avatar
 
"Ed Hall"
Dec 2009
Adirondack Mtns

3·372 Posts
Default

Quote:
Originally Posted by VBCurtis View Post
How unusual is it to break 2^4 * 31? I don't think I've done it before tonight.

Edit: The sequence went 2^4 * 3 * 31 to 2^4 * 3 * 31^2 to 2^6 * 3 * 31, and picked up the downdriver a few terms later.
My earlier numbers are probably quite inaccurate! I may need to focus on 2^4 only, rather than 2(>4). I did a bit more study and it appears that 24 * 31 is specifically important! If the power of either 2 or 31 changes, the driver has a really good chance of breaking. There are instances of 2(>4) * 31 and 2^4 * 312 not starting a run.

Example for 10^27 (first column is index number):
Code:
52 = 2^7 * 31 * 37 . . .
170 = 2^5 * 3^2 * 31 * 41 . . .
687 = 2^6 * 3 * 31^2 * 59 . . .
754 = 2^4 * 7 * 31 * 223 . . .
755 = 2^4 * 7 * 31 * . . . 
. . . (2^4 continues for all these lines)
1081 = 2^4 * 3 * 13 * 31 * 2207 . . .
1082 = 2^4 * 3 * 5 * 31 * 47681 . . .
1082 is the current last term, so this instance is unbroken.


Another example 10^111:
Code:
592 = 2^4 * 31 * 73 . . .
593 = 2^4 * 31 * 1493 . . .
. . .
674 = 2^4 * 13 * 31 * 128311 . . .
675 = 2^4 * 5 * 31^2 * 1407503 . . .
676 = 2^4 * 5^2 * 31^2 * 89 . . .
677 = 2^4 * 5^2 * 17 * 31^2 . . .
1087 is the current last term, so this instance broke at 677.

I will do even more study and post something extra later. . .
EdH 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 17:49.


Tue Nov 30 17:49:54 UTC 2021 up 130 days, 12:18, 0 users, load averages: 1.29, 1.42, 1.51

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.