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Forum: Miscellaneous Math 2020-12-11, 09:35
Replies: 61
Views: 13,152
Posted By dabler
??

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Forum: Miscellaneous Math 2020-12-09, 17:05
Replies: 61
Views: 13,152
Posted By dabler
Has anyone studied the behavior of the Collatz...

Has anyone studied the behavior of the Collatz function in finite fields?
Forum: Software 2020-12-06, 16:36
Replies: 9
Views: 1,337
Posted By dabler
I managed to get over the magic limit of 92% --...

I managed to get over the magic limit of 92% -- 93% and complete the test. And the result seems to be correct: https://www.mersenne.org/report_exponent/?exp_lo=109258157&full=1
Forum: Software 2020-12-05, 16:50
Replies: 9
Views: 1,337
Posted By dabler
mprime version 30.3b6. uname -a gives ...

mprime version 30.3b6.

uname -a gives
Linux dabler 5.4.60-gentoo-9 #1 SMP Thu Aug 27 12:07:40 CEST 2020 x86_64 AMD Ryzen Threadripper 2990WX 32-Core Processor AuthenticAMD GNU/Linux

and cat...
Forum: Software 2020-12-04, 18:33
Replies: 9
Views: 1,337
Posted By dabler
I tried it several times, and it always crashed...

I tried it several times, and it always crashed around 92 or 93%. No crash below 90 %.
Forum: Software 2020-12-04, 17:31
Replies: 9
Views: 1,337
Posted By dabler
I have no objection to hardware errors. My...

I have no objection to hardware errors. My problem is the SIGSEGV that I get after 90% of the test.
Forum: Software 2020-12-04, 12:06
Replies: 9
Views: 1,337
Posted By dabler
mprime crashed

I just encountered the following behavior:

[Work thread Dec 4 12:51] Iteration: 102190000 / 109258157 [93.53%], ms/iter: 5.847, ETA: 11:28:49
[Work thread Dec 4 12:51] Hardware errors have...
Forum: Miscellaneous Math 2020-07-02, 07:51
Replies: 61
Views: 13,152
Posted By dabler
After less than a year, I managed to verify all...

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 (https://rdcu.be/b5nn1).
Forum: Computer Science & Computational Number Theory 2020-05-21, 19:51
Replies: 17
Views: 12,512
Posted By dabler
Yes, the algorithm is efficient only for a...

Yes, the algorithm is efficient only for a specific class of numbers, as explained in the paper. The long multiplication is better on average.
Forum: Computer Science & Computational Number Theory 2020-05-21, 09:26
Replies: 17
Views: 12,512
Posted By dabler
Just for fun, here...

Just for fun, here (https://link.springer.com/epdf/10.1007/s00224-020-09986-5) is another algorithm for fast multiplication of large integers, which is most likely only of theoretical interest. The...
Forum: Miscellaneous Math 2019-10-14, 06:28
Replies: 61
Views: 13,152
Posted By dabler
My project has evolved a lot in the last month....

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...
Forum: Miscellaneous Math 2019-09-17, 11:28
Replies: 61
Views: 13,152
Posted By dabler
I'm sure you're right about this. However, now I...

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.
Forum: Miscellaneous Math 2019-09-16, 15:52
Replies: 61
Views: 13,152
Posted By dabler
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 (https://github.com/xbarin02/collatz). The source codes require a...
Forum: Miscellaneous Math 2019-09-09, 06:14
Replies: 61
Views: 13,152
Posted By dabler
As I look into the server log, I see that these...

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!
Forum: Miscellaneous Math 2019-09-08, 13:09
Replies: 61
Views: 13,152
Posted By dabler
Cool! And does the client work properly? I mean...

Cool! And does the client work properly? I mean whether the client connects to the server, computes its assignment, and returns the result correctly to the server.
Forum: Miscellaneous Math 2019-09-08, 07:35
Replies: 61
Views: 13,152
Posted By dabler
Windows build

According to this post (https://stackoverflow.com/questions/7607502/sizeoflong-in-64-bit-c/39207744#39207744), you should be able to compile the code for 64-bit windows using Cygwin x86_64. Mingw-w64...
Forum: Miscellaneous Math 2019-09-06, 12:16
Replies: 61
Views: 13,152
Posted By dabler
Good point for an improvement. However, when I...

Good point for an improvement. However, when I chose this work unit (2^40), I estimated that modern computers would give it in about one hour.

One more question: When you said "Running 6 tasks at...
Forum: Miscellaneous Math 2019-09-05, 17:13
Replies: 61
Views: 13,152
Posted By dabler
Just for the sake of curiosity, most clients run...

Just for the sake of curiosity, most clients run on this computing cluster (https://docs.it4i.cz/salomon/hardware-overview/). So tens of thousands of TCP/IP connections soon became a bottleneck.
Forum: Miscellaneous Math 2019-09-05, 17:01
Replies: 61
Views: 13,152
Posted By dabler
Hi Dylan, The code requires 64-bit long int...

Hi Dylan,

The code requires 64-bit long int type, and GCC's __int128 extension. It should compile fine on 64-bit Linux machines. The size of a single work unit is 2^40 numbers (currently somewhere...
Forum: Miscellaneous Math 2019-09-04, 16:14
Replies: 61
Views: 13,152
Posted By dabler
Distributed computing project

I decided to start a distributed computing project. The aim is to raise the threshold below which the convergence of the Collatz problem is verified, particularly from 87 × 2^60 to 88 × 2^60. I keep...
Forum: Miscellaneous Math 2019-08-26, 13:51
Replies: 61
Views: 13,152
Posted By dabler
Greetings, My current single-threaded...

Greetings,

My current single-threaded implementation gives the throughput about 3.99 × 10^9 128-bit numbers per seconds. Any help is welcome!
Forum: Miscellaneous Math 2019-08-22, 17:22
Replies: 61
Views: 13,152
Posted By dabler
Probably the long type on the platform has only...

Probably the long type on the platform has only 32 bits in size. On 64-bit Linux systems, the long is 64-bit type.
Forum: Miscellaneous Math 2019-08-22, 12:59
Replies: 61
Views: 13,152
Posted By dabler
There must be some +- 1 problem. Can you compare...

There must be some +- 1 problem. Can you compare your code with my own implementation here (https://github.com/xbarin02/collatz/blob/master/simple2.c#L48)? Basically, a single iteration of the...
Forum: Miscellaneous Math 2019-08-21, 17:17
Replies: 61
Views: 13,152
Posted By dabler
Computational verification of Collatz problem

Would anyone be willing to implement this verification procedure (https://math.stackexchange.com/questions/3330085/computational-verification-of-collatz-problem) effectively (in any programming...
Forum: Miscellaneous Math 2019-08-19, 12:12
Replies: 61
Views: 13,152
Posted By dabler
To whom it may concern, the situation is now...

To whom it may concern, the situation is now clarified here (https://math.stackexchange.com/questions/3314430/how-far-has-collatz-conjecture-been-computationally-verified).
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