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# Mathematics

## Latest Articles

### Cash for Math: The Erdős Prizes Live On

Paul Erdős placed small bounties on hundreds of unsolved math problems. Over the past 20 years, only a handful have been claimed.

### A Puzzle of Clever Connections Nears a Happy End

The three young friends who devised the “happy ending” problem would become some of the most influential mathematicians of the 20th century, but were never able to solve their own puzzle. Now it receives its first big breakthrough.

### The Mathematics of Juggling

Juggling has advanced enormously in recent decades, thanks in part to the mathematical study of possible patterns.

### Solution: ‘Friday the 13th’

There’s more than one good way to bring order to our unruly, seemingly arbitrary calendar.

### A Simple Visual Proof of a Powerful Idea

Ramsey’s theorem predicts a surprising (and useful) consistency in the organization of graphs. Here’s a simple visual proof of how it works.

### How to Use a Sphere to Talk to Mars

To avoid garbled messages, mathematicians might translate them into geometric form.

### A New Path to Equal-Angle Lines

Equiangular lines are an elemental part of geometry. Mathematicians have discovered a tighter limit on the number of such lines that exist in every dimension.

### Is It Friday the 13th Again?

How our society defines years, months and weeks can seem frustratingly arbitrary. Can you bring order to our unruly calendar?

### Physicists Attack Math’s $1,000,000 Question

Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.