Checking of Collatz problem / conjecture

[Nick]

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]

Originally Posted by moebius

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

Robert Gerbicz's one?

[dabler]

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

[CRGreathouse]

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]

Originally Posted by CRGreathouse

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

??

[Batalov]

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]

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.