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 ...

This is a set of Python scripts that generate music and sound based on the Collatz sequence, a mathematical concept. Here's a brief description of each script: collatz_resequencer.py: This script ...

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 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 ...

This column comes with a warning: Do not try to solve this math problem. You will be tempted. This problem is simply stated, easily understood, and all too inviting. Just pick a number, any number: If ...

Please read "Introduction to a New Method in Chapter 1 (article 1)" before reading Chapter 7 (article 9). Chapter 1 also posts links to each chapter. When translating from Japanese to English, subtle ...

Mathematicians regard the Collatz conjecture as a quagmire and warn each other to stay away. But now Terence Tao has made more progress than anyone in decades. Experienced mathematicians warn ...