mersenneforum.org Checking of Collatz problem / conjecture
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 2019-09-08, 13:17 #34 Dylan14     "Dylan" Mar 2017 24×37 Posts From the attached image, the client was able to connect successfully to the server, download some workunits and start working on them. It hasn't finished them yet, so I don't know about the uploading of the results. Attached Thumbnails
 2019-09-09, 06:14 #35 dabler     "David Barina" Jul 2016 Brno 23·5 Posts As I look into the server log, I see that these assignments were successfully returned in approximately 2 hours and 12 minutes. That is perfect, thank you!
 2019-09-13, 09:44 #36 R. Gerbicz     "Robert Gerbicz" Oct 2005 Hungary 62016 Posts Almost solved(!), Terence Tao has made a big progress on Collatz conjecture: https://arxiv.org/pdf/1909.03562.pdf
2019-09-13, 10:05   #37
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

22·5·17·19 Posts

Quote:
 Originally Posted by R. Gerbicz Almost solved(!), Terence Tao has made a big progress on Collatz conjecture: https://arxiv.org/pdf/1909.03562.pdf
Tao's page:
https://terrytao.wordpress.com/2019/...ounded-values/

2019-09-13, 12:12   #38
Dr Sardonicus

Feb 2017
Nowhere

5,791 Posts

Quote:
Originally Posted by retina
Quote:
 Originally Posted by R. Gerbicz Almost solved(!), Terence Tao has made a big progress on Collatz conjecture: https://arxiv.org/pdf/1909.03562.pdf
Tao's page:
https://terrytao.wordpress.com/2019/...ounded-values/
In the arxiv preprint, Definition 1.2 has

$\text{for all }A\;\subset\;S$

which threw me for a loop, since "S" was not defined.

It was a typo. Tao's page (thanks, retina!) says it should be

$\text{for all }A\;\subset\;\mathbb{N}\;+\;1$

 2019-09-16, 15:52 #39 dabler     "David Barina" Jul 2016 Brno 1010002 Posts Any help still welcome Any help with this distributed computation is still welcome. All you need to do is to compile the client from this GitHub repository. The source codes require a GNU toolchain. They can also be compiled on MS Windows (see above discussion). Last fiddled with by dabler on 2019-09-16 at 15:53
2019-09-16, 16:51   #40
R. Gerbicz

"Robert Gerbicz"
Oct 2005
Hungary

25×72 Posts

Quote:
 Originally Posted by dabler Any help with this distributed computation is still welcome.
I could be boring, but this type of task is ideal for the much faster gpu.

 2019-09-17, 11:28 #41 dabler     "David Barina" Jul 2016 Brno 1010002 Posts I'm sure you're right about this. However, now I don't known any person able to implement it on the GPU right now. PS: Linux binaries are also available on the project page.
 2019-10-14, 06:28 #42 dabler     "David Barina" Jul 2016 Brno 23×5 Posts My project has evolved a lot in the last month. Now I use modern (massively parallel) GPUs to verify the problem convergence. This brings an acceleration of more than two orders of magnitude. At this moment, I would welcome any help regarding the GPU implementation. Could anyone review my code in OpenCL on StackExchange?
 2020-07-02, 07:51 #43 dabler     "David Barina" Jul 2016 Brno 23×5 Posts After less than a year, I managed to verify all numbers below 268 in this way. For those who are interested, the results are presented in this article.
 2020-07-02, 09:29 #44 moebius     "CharlesgubOB" Jul 2009 Germany 33·23 Posts Poll: Which of the previous avatars looks most like a mugshot from sheriff's department?

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