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 ...

The Collatz conjecture is also known as the “3n + 1” problem. It’s an easy problem to explain and check, and has been tested up into the nineteen figure range. But it’s only now that anyone has come ...

Forbes contributors publish independent expert analyses and insights. It's a nice picture and it sure looks like there's some pattern there, but it's not been quantified. So, why do we believe this ...

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 ...

The number theoretic function $s(n) = \frac{1}{2} n$ if $n$ is even, $s(n) = 3n + 1$ if $n$ is odd, generates for each $n$ a Collatz sequence $\{ s^k(n)\}^\infty_{k ...

This week, we’ve celebrated the long-awaited answer to a decades-old math problem, and now we’re one step closer to an even older numbers puzzle that has stumped the world’s brightest minds. But many ...

Seaweed? Worms? Bad hair day? The animation below is a new way to look at the Collatz conjecture, one of the most high-profile open problems in mathematics. The conjecture is easy to explain, given ...

The Collatz Conjecture is a deceptively simple math problem. It has only two rules. First, pick any number. If it's even, divide it by two. If it's odd, multiply it by three and add one. This will ...