Work

Two different scenarios when the Collatz Conjecture fails

Year: 2021
Type: article
Abstract: In this article, we construct networks of Collatz sequences such that the initial odd terms of these sequences increase monotonically. We also show how the subsequence of odd numbers in a Collatz sequence can be extended backwards, forever. Convergent sequences cannot contain divergent subsequences. Thus, we conclude that the Collatz Conjecture is false.
Language: English
Open Access status: diamond
OpenAlex ID: W2999115804
FWCI: 0.331
Cites: 8
Cited by: 2
Related to: 10