The new method is introduced in Articles 1-10 and Chapters 1-8. The translation from Japanese to English has been completed for all articles, both free and paid. (April 2024) English articles are ...

The Collatz conjecture is a mathematical problem that predicts that any positive integer will eventually converged to 1, if odd numbers is multiplied by 3 and added 1, else even numbers divided by 2.

This repository presents a constructive proof of the Collatz Conjecture, demonstrating that every positive integer eventually reaches 1 through the defined transformation process. The proof ensures ...