Checking of Collatz problem / conjecture - Page 4

Dylan14 · 2019-09-08, 13:17

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.

dabler · 2019-09-09, 06:14

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!

R. Gerbicz · 2019-09-13, 09:44

Almost solved(!), Terence Tao has made a big progress on Collatz conjecture: https://arxiv.org/pdf/1909.03562.pdf

retina · 2019-09-13, 10:05

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/

Dr Sardonicus · 2019-09-13, 12:12

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

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

dabler · 2019-09-16, 15:52

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).

R. Gerbicz · 2019-09-16, 16:51

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.

dabler · 2019-09-17, 11:28

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.

dabler · 2019-10-14, 06:28

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?

dabler · 2020-07-02, 07:51

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.

moebius · 2020-07-02, 09:29

Poll:
Which of the previous avatars looks most like a mugshot from sheriff's department?

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

2019-09-16, 15:52	#39
dabler "David Barina" Jul 2016 Brno 2³·5 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

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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 11000100000₂ Posts	Almost solved(!), Terence Tao has made a big progress on Collatz conjecture: https://arxiv.org/pdf/1909.03562.pdf

2019-09-17, 11:28	#41
dabler "David Barina" Jul 2016 Brno 2³·5 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?