I'd like some help with my proof of the Collatz Conjecture. I believe I have taken a new tact, and can't find a place to get the help I want. (I have tried e-mailing professors, a …

Summary of Question: Where can I find a discussion of attempting to prove the Collatz Conjecture via substitution and abstract examination? I've done a lot of reading on the probl …

Background Consider Collatz-type problems of the form $an + 1$, where $a > 2$ is a positive, odd integer (e.g., $3n + 1$, $5n +1 $, $7n + 1$, etc.). For convenience, automatically …

In this paper Gerhard Opfer claims to have solved Collatz conjecture. Looks like a strange paper to me, but I haven't studied it. How legit does it look to people more specialized …

(Here I discuss the Collatz problem only for positive integers.) It is possible, by computation, to find all cycles in the Collatz iteration of a fixed length. It is clear that an …

Howdy, Not sure this will be entirely clear, but when considering the relationship between a start value n in the Collatz algorithm and the length of the sequence generated by n, …