Kevin Lieber of Vsauce2 examines why the Collatz Conjecture is still a complex mathematical mystery. Trump warns Republicans after Supreme Court mail-in ballot smackdown Coffee linked to significant ...

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 ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...

A new Physical Review Letters study places constraints on the ER = EPR conjecture, showing that under the authors' assumptions, the conjecture would imply possible alterations to the hyperfine ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

The world may seem orderly, but randomness and chaos shape everything in the universe, from enormous galaxies all the way down to subatomic particles. Take a chilly window sheeting over with ice: even ...

The Collatz Conjecture begins with a simple sequence yet no proof has ever been found to solve it. Month’s worth of rain in a week coming for millions of Aussies Coffee linked to significant new side ...

Mathematicians have finally solved a geometry problem that has puzzled the field for decades. By wiggling a needle around while spinning it, you can minimize the amount of space it moves through, ...

The original version of this story appeared in Quanta Magazine. Sometime in the fall of 2021, Andrew Krapivin, an undergraduate at Rutgers University, encountered a paper that would change his life.

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...