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-   -   Checking of Collatz problem / conjecture (https://www.mersenneforum.org/showthread.php?t=24661)

Nick 2020-07-02 09:41

[QUOTE=dabler;549598]After less than a year, I managed to verify all numbers below 2[SUP]68[/SUP] in this way. For those who are interested, the results are presented in [URL="https://rdcu.be/b5nn1"]this article[/URL].[/QUOTE]
Thanks for the link!

LaurV 2020-07-04 09:32

[QUOTE=moebius;549605]Poll:
Which of the previous avatars looks most like a mugshot from sheriff's department?[/QUOTE]
Robert Gerbicz's one? :lol:

dabler 2020-12-09 17:05

Has anyone studied the behavior of the Collatz function in finite fields?

CRGreathouse 2020-12-10 19:40

[QUOTE=dabler;565779]Has anyone studied the behavior of the Collatz function in finite fields?[/QUOTE]

[url]https://scholar.google.com/scholar?hl=en&as_sdt=0%2C33&q=Collatz+%22finite+field%22&btnG=[/url]

dabler 2020-12-11 09:35

[QUOTE=CRGreathouse;565890][url]https://scholar.google.com/scholar?hl=en&as_sdt=0%2C33&q=Collatz+%22finite+field%22&btnG=[/url][/QUOTE]

??

Batalov 2020-12-11 23:23

[QUOTE=dabler;565931]??[/QUOTE]
That was a kind and gentle variation of the "LMGTFY" answer.
What you asked for - is all there. All that remains to be done is ...[I] just read it![/I]

CRGreathouse 2020-12-12 05:34

[QUOTE=Batalov;565971]That was a kind and gentle variation of the "LMGTFY" answer.
What you asked for - is all there. All that remains to be done is ...[I] just read it![/I][/QUOTE]

Yes. Basically, there was too much research for me to post just one or two papers, and not enough in your question to narrow the field down, so I just linked to a search showing the sorts of papers that are out there. Following authors and references forward and backward should yield more.

JMARANDA 2021-03-17 23:47

Unc, thanks for add all Collatz threads.

Uncwilly 2021-03-18 00:17

Posting to [U]solely[/U] ask people to respond to your post in another thread is not a polite thing to do.

JMARANDA 2021-03-18 00:29

please remove.
sorry

JMARANDA 2021-03-18 00:40

You can forget all the even numbers.
You can also remove all 5's on each step.
Or anything finite list of prime numbers.
The equations what are finally solved are absolutly equivalents.
If one is solved, the other also.

You can up with 5n+1, and down removing 2s and 3s.
Is the same eqn.
Eqn solvable, ONE reached.
Eqn not solvable, ONE never reached.

The conjecture is true, dont worry.
I post one algebraic equivalence.
Best try to solve it.

Colltatz is nice.
Is like a box with Galois theory, succesions, and caotic atractors.
Im absolutly sure that Collatz conjecture is today solvable.
Dont believe pesimist words.


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