A seemingly simple set of rules kicks off a kind of mathematical magic trick, which has kept great minds busy since the 1930s ...

An attempt at tackling the intractable Collatz conjecture is a “noble failure” demonstrating the promise of automated reasoning techniques. The computer scientist Marijn Heule is always on the lookout ...

Experienced mathematicians warn up-and-comers to stay away from the Collatz conjecture. It’s a siren song, they say: Fall under its trance and you may never do meaningful work again. The Collatz ...

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 ...