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 ...

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 ...

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 ...