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# Mathematics

## Latest Articles

### Teenager Solves Stubborn Riddle About Prime Number Look-Alikes

In his senior year of high school, Daniel Larsen proved a key theorem about Carmichael numbers — strange entities that mimic the primes.

### ‘Monumental’ Math Proof Solves Triple Bubble Problem and More

The decades-old Sullivan’s conjecture, about the best way to minimize the surface area of a bubble cluster, was thought to be out of reach for three bubbles and up — until a new breakthrough result.

### How *Star Trek*’s Lieutenant Uhura Overcame Astronomical Odds

Readers rescued a *Star Trek* crew from a probabilistic predicament armed only with the power of mathematical reasoning.

### How Big Is Infinity?

Of all the endless questions children and mathematicians have asked about infinity, one of the biggest has to do with its size.

### The New Math of Wrinkling

A comprehensive mathematical framework treats wrinkling patterns as elegant solutions to geometric problems.

### How Mathematical Curves Enable Advanced Communication

A simple geometric idea has been used to power advances in information theory, cryptography and even blockchain technology.

### The Math Evangelist Who Preaches Problem-Solving

Richard Rusczyk, founder of Art of Problem Solving, has a vision for bringing “joyous, beautiful math” — and problem-solving — to classrooms everywhere.

### How Shannon Entropy Imposes Fundamental Limits on Communication

What’s a message, really? Claude Shannon recognized that the elemental ingredient is surprise.

### How Isaac Newton Discovered the Binomial Power Series

Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums.