“You don’t have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The Book, which only exists in theory, contains the most elegant proofs of ...

This is a preview. Log in through your library . Abstract The classical theorem of Bombieri and Vinogradov is generalized to a non-abelian, non-Galois setting. This leads to a prime number theorem of ...

A basic feature of number theory, prime numbers are also a fundamental building block of computer science, from hashtables to cryptography. Everyone knows that a prime number is one that cannot be ...

Prime numbers, whole numbers greater than one with only two factors (one and themselves), are fundamental in mathematics. They serve as building blocks for all other whole numbers, a concept known as ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...

You're currently following this author! Want to unfollow? Unsubscribe via the link in your email. Follow Andy Kiersz Every time Andy publishes a story, you’ll get ...

19th-century mathematicians thought the “roots of unity” were the key to solving Fermat’s Last Theorem. Then they discovered a fatal flaw. Sometimes the usual numbers aren’t enough to solve a problem.