This repository contains a Python program that implements the Collatz Conjecture, a mathematical hypothesis proposed by Lothar Collatz in 1937. The conjecture is simple yet unsolved, and it has ...

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 ...

玉川大学と千葉大学に所属する川崎敏治さん（崎はたつさき）の単著論文「A proof of the Collatz conjecture」がarXivでプレプリント（査読前）として登場した。新たな不動点定理を使用して、数学の未解決問題「コラッツ予想」を証明したという。査読前のため現 ...

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.

The purpose of this study is to prove the Collatz conjecture using a theorem proving system. First, the division sequence is defined as an alignment of the number of times division by 2 is performed ...

At first glance, the problem seems ridiculously simple. And yet experts have been searching for a solution in vain for decades. According to mathematician Jeffrey Lagarias, number theorist Shizuo ...

The definition of Collatz Operator, the mathematical avatar of the Collatz Algorithm, permits the transformation of the Collatz conjecture, which is delineated over the whole natural number set, into ...

The Collatz conjecture is an unsolved conjecture in mathematics. It is named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, as the Ulam ...