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# Number theory

## Latest Articles

### The ‘Useless’ Perspective That Transformed Mathematics

Representation theory was initially dismissed. Today, it’s central to much of mathematics.

### Mathematician Measures the Repulsive Force Within Polynomials

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart.

### To Win This Numbers Game, Learn to Avoid Math Patterns

Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.

### John Conway Solved Mathematical Problems With His Bare Hands

The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.

### ‘Amazing’ Math Bridge Extended Beyond Fermat’s Last Theorem

Mathematicians have figured out how to expand the reach of a mysterious bridge connecting two distant continents in the mathematical world.

### How Rational Math Catches Slippery Irrational Numbers

Finding the best way to approximate the ever-elusive irrational numbers pits the infinitely large against the infinitely small.

### The Map of Mathematics

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

### The Year in Math and Computer Science

Mathematicians and computer scientists made big progress in number theory, graph theory, machine learning and quantum computing, even as they reexamined our fundamental understanding of mathematics and neural networks.

### Mathematician Proves Huge Result on ‘Dangerous’ Problem

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.