The Visual Pattern in the Collatz Conjecture and Proof of No Non-Trivial Cycles
General Mathematics
2021-05-18 v1
Abstract
We present the long sought visual pattern in the Collatz problem with the aid of a logarithmic spiral. Using this newly discovered pattern, we show that the Collatz problem is linked to primes via Jacobsthal numbers. We then prove that no non-trivial cycles exist on the spiral and by extension in the Collatz problem.
Cite
@article{arxiv.2105.07955,
title = {The Visual Pattern in the Collatz Conjecture and Proof of No Non-Trivial Cycles},
author = {Fabian S. Reid},
journal= {arXiv preprint arXiv:2105.07955},
year = {2021}
}
Comments
22 pages