20200702, 09:41  #45  
Dec 2012
The Netherlands
5·353 Posts 
Quote:


20200704, 09:32  #46 
Romulan Interpreter
"name field"
Jun 2011
Thailand
17×19×31 Posts 

20201209, 17:05  #47 
"David Barina"
Jul 2016
Brno
2^{3}×5 Posts 
Has anyone studied the behavior of the Collatz function in finite fields?

20201210, 19:40  #48  
Aug 2006
175B_{16} Posts 
Quote:


20201211, 09:35  #49  
"David Barina"
Jul 2016
Brno
2^{3}×5 Posts 
Quote:


20201211, 23:23  #50 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9902_{10} Posts 

20201212, 05:34  #51 
Aug 2006
3×1,993 Posts 
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.

20210317, 23:47  #52 
"Account archived."
Oct 2020
UE
31 Posts 
Unc, thanks for add all Collatz threads.
Last fiddled with by JMARANDA on 20210318 at 00:31 
20210318, 00:17  #53 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2·13·409 Posts 
Posting to solely ask people to respond to your post in another thread is not a polite thing to do.

20210318, 00:29  #54 
"Account archived."
Oct 2020
UE
11111_{2} Posts 
please remove.
sorry Last fiddled with by JMARANDA on 20210318 at 00:42 
20210318, 00:40  #55 
"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 20210318 at 00:42 
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