Abstract: Collatz conjecture (or 3x+1 problem) has been explored for about 80 years. By now the largest number that has been verified for Collatz conjecture is about 60 bits. In this paper, we propose ...

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 ...

INDIA: The “Collatz Conjecture” has perplexed mathematicians for decades, and they remember it as one of the most notorious mathematical puzzles. It is one of the most well-known math problems that ...

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 ...

The artificial intelligence (AI) program DeepMind has gotten closer to proving a math conjecture that's bedeviled mathematicians for decades and revealed another new conjecture that may unravel how ...

This is a short python program that checks if a number will reach 1 through the 'Collatz Conjecture' process. I created this whilst learning how to program with python3. The program uses a while loop; ...

A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot. But Heule, a computer scientist at Carnegie Mellon University, has set his sights on an ...