Are there problems computers will never be able to solve, no matter how powerful they become?

Here's the ancient proof that there are infinitely many prime numbers.

We all know what we mean when we say that something has happened — well, all except for theoretical physicists. That's because the notion of a "happening" becomes fuzzy when you go down to the foundations of the science. Find out more with these articles and videos.

Mathematicians are working hard to understand an impenetrable proof of the famous ABC conjecture.