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# number theory

## Latest Articles

### Landmark Math Proof Clears Hurdle in Top Erdős Conjecture

Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns.

### Mathematicians Will Never Stop Proving the Prime Number Theorem

Why do mathematicians enjoy proving the same results in different ways?

### A Number Theorist Who Solves the Hardest Easy Problems

In his rapid ascent to the top of his field, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries.

### 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.