Related Articles ( Collatz conjecture )
Retracted Article: Two different scenarios when the Collatz Conjecture fails
Retraction in: Comment from article: Two different scenarios when the Collatz Conjecture fails. Author: Petro Kosobutskyy. Volume 12 - Issue 4 | PP: 179 - 182. Doi: https://doi.org/10.31559/glm2022.12.4.4
A Conjecture from Collatz Conjecture: Elevation by Folding
The Collatz Conjecture proposed in 1937 by German mathematician Lothar Collatz remains unsolved. It states that: let ℕ be the set of all positive integers and n ϵ ℕ, then: any positive integer n will collapse to 1 by applying the rules of the conjecture: 3n+1 (for odd numbers) ...
Comment from article ”Two different scenarios when the Collatz Conjecture fails”
This work substantiates the essence of the erroneous conclusion of the author of the work ‘M. Ahmed, Two different scenarios when the Collatz Conjecture fails. General Letters in Mathematics. 2021‘ about the false of Collatz’s hypothesis.
Some remarkable notes related to the Collatz conjecture
The aim of this short paper is to mention (and demonstrate) some very important results related to the Collatz conjecture. We will show the truth of this conjecture, in special cases, using reasoning by recurrence. We conclude that there is only one case where no one have not yet reached any conclusion ...