The Collatz conjecture is the simplest open problem in mathematics. You can explain it to all your non-mathematical friends, and even to small children who have just learned to divide by 2.

Aug 26, 2022 · Therefore the Collatz Conjecture is true. Every number will inevitably transform down to $1$. Sorry for the difficult to read LaTeX, kind of a new user, but feel free to criticize away about …

Sep 25, 2015 · which extends the collatz function to the complex plane. I think the point to remember is that the way the Collatz function is written definitely influences how it's studied. This allows for new …

Mar 31, 2018 · For all those infinite sequences the Collatz-conjecture is immediately proven - the Collatz-transformation (in its Syracuse-formulation) goes in reverse direction of the arrows, for …

Jan 24, 2022 · The Collatz conjecture has moreover a property that most conjectures like Goldbach or Riemann do not have. If there is a diverging trajectory , we might not be able to prove that within …

Dec 18, 2025 · Q&A for people studying math at any level and professionals in related fields

Jun 28, 2021 · Collatz conjecture but with 3n − 1 3 n 1 instead of 3n + 1. 3 n + 1. Do any sequences go off to + ∞ + ∞ ?

Feb 19, 2015 · I wonder how the Collatz conjecture could possibly be undecidable. Let's say it's undecidable, then no counter example can ever be found, and that to me seems to imply that none …

Nov 14, 2021 · I think it makes sense to consider every case of the generalized version of the Collatz-conjecture to be a Collatz-like problem. Note that this generalized version was proven to be …

The conjecture is that for all n ∈N n ∈ N, n n eventually converges under iteration by f f to 1 1. I was wondering if the "5n+1" problem has been solved. This problem is the same as the Collatz problem …