Checking of Collatz problem / conjecture - Page 5

Nick · 2020-07-02, 09:41

Quote:

Originally Posted by dabler

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.

Thanks for the link!

LaurV · 2020-07-04, 09:32

Quote:

Originally Posted by moebius

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

Robert Gerbicz's one?

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:

Originally Posted by dabler

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

https://scholar.google.com/scholar?h...field%22&btnG=

dabler · 2020-12-11, 09:35

Quote:

Originally Posted by CRGreathouse

https://scholar.google.com/scholar?h...field%22&btnG=

??

Batalov · 2020-12-11, 23:23

Quote:

Originally Posted by dabler

??

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 ... just read it!

CRGreathouse · 2020-12-12, 05:34

Quote:

Originally Posted by Batalov

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 ... just read it!

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 solely 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.

2021-03-17, 23:47	#52
JMARANDA "Account archived." Oct 2020 UE 37₈ Posts	Unc, thanks for add all Collatz threads. Last fiddled with by JMARANDA on 2021-03-18 at 00:31

2021-03-18, 00:29	#54
JMARANDA "Account archived." Oct 2020 UE 31 Posts	please remove. sorry Last fiddled with by JMARANDA on 2021-03-18 at 00:42

2021-03-18, 00:40	#55
JMARANDA "Account archived." Oct 2020 UE 31 Posts	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. Last fiddled with by JMARANDA on 2021-03-18 at 00:42

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2020-12-09, 17:05	#47
dabler "David Barina" Jul 2016 Brno 2³·5 Posts	Has anyone studied the behavior of the Collatz function in finite fields?

2021-03-18, 00:17	#53
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 3²×7×13² Posts	Posting to solely ask people to respond to your post in another thread is not a polite thing to do.