The proof resolves a nearly 80-year-old problem known as the Duffin-Schaeffer conjecture. In doing so, it provides a final answer to a question that has preoccupied mathematicians since ancient times: ...

For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help identify them and the way they’re distributed among other numbers.

For centuries prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help them identify primes and the way they are distributed among other ...

It's all about the polynomials, baby. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Mathematicians have uncovered a big new piece of evidence ...

Two mathematicians have formulated a proof that has been described as "possibly the most important advance in prime-number theory since the mid-1960s". Primes are the whole numbers that can be divided ...

The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory. The rational numbers are the most familiar numbers: 1, -5, ½, and every ...

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. In October 2018, David Asperó was on holiday in Italy, gazing out a car ...