An optimal convergent Collatz algorithm
General Mathematics
2024-07-23 v2
Abstract
In this research, an optimal algorithm for the Collatz conjecture is presented. Properties such as the convergence of the algorithm and an equation that relates the algorithm to the classical Collatz conjecture are obtained. It is validated that the proposed theory is correct with several examples; as a sector of mathematicians believes that the Collatz conjecture fails in some power of . The algorithm was applied to the first powers of , where the convergence of the proposed algorithm was verified.
Cite
@article{arxiv.2308.01214,
title = {An optimal convergent Collatz algorithm},
author = {Juan Carlos Riano-Rojas},
journal= {arXiv preprint arXiv:2308.01214},
year = {2024}
}
Comments
The proof of the main lemma of the document was complemented and more examples were added, the document is made up of 17 pages and 5 figures