Kevin Lieber of Vsauce2 examines the enduring mathematical enigma known as the Collatz Conjecture.

Disclaimer: I am completely outside the world of advanced mathematics or professional academia. This project represents a look at a 90-year-old puzzle from the perspective of systems logic, binary ...

Almost a century ago, a mathematician came up with a puzzle that was so seemingly simple and yet so fiendishly difficult that it has been distracting other mathematicians ever since. It has become a ...

Lets geek out. The HackerNoon library is now ranked by reading time created. Start learning by what others read most. Lets geek out. The HackerNoon library is now ranked by reading time created. Start ...

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 ...

"If it is an even number, divide by 2; if it is an odd number, multiply by 3 and add 1." A simple rule like this. This operation, which even an elementary school student can understand, is actually ...

Amateur mathematicians are closing in on an unimaginably huge number – one so large that it brushes up on the edge of what is even knowable within the framework of modern mathematics. It all stems ...

Abstract: The Collatz conjecture, which posits that any positive integer will eventually reach 1 through a specific iterative process, is a classic unsolved problem in mathematics. This research ...

Once upon a time, over 40 years ago, a horde of computer scientists descended on the West German city of Dortmund. They were competing to catch an elusive quarry — only four of its kind had ever been ...

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 ...

In September 2019, news broke regarding progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao's breakthrough is promising, the problem isn't ...