English

About the proof of the Collatz conjecture

General Mathematics 2013-03-14 v2

Abstract

I want to show one possibility to proof the Collatz conjecture, also called 3n+1 conjecture, for any natural number N. For this, I limit my analysis on the direct odd follower of every natural odd number and show the connections between the already by one reached numbers and their followers, to find an recurrence over all ranges [1,N_{i}], to proof the conjecture.

Keywords

Cite

@article{arxiv.1303.2073,
  title  = {About the proof of the Collatz conjecture},
  author = {Carolin Zöbelein},
  journal= {arXiv preprint arXiv:1303.2073},
  year   = {2013}
}

Comments

14 pages, notation mistakes and references corrected

R2 v1 2026-06-21T23:39:00.309Z