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 ...

Algebraic number theory is a foundational branch of mathematics that investigates the properties of algebraic numbers and their relationships through the lens of field extensions and rings of integers ...

A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime numbers. The primes — numbers that are only divisible by themselves ...

The study of arithmetic properties and digit restrictions in number theory explores the intricate relationships between classical arithmetic functions and the digital representation of numbers. This ...

A new proof has debunked a conspiracy that mathematicians feared might haunt the number line. In doing so, it has given them another set of tools for understanding arithmetic’s fundamental building ...

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 ...

Somewhere out there on the number line, huge prime numbers are lurking, waiting to be discovered. On Wednesday, a new one was. The Great Internet Mersenne Prime Search, an organization devoted to ...

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 ...

Still, Larsen’s most recent obsession felt different, “longer and more intense than most of his other projects,” she said. For more than a year and a half, Larsen couldn’t stop thinking about a ...

Jonathan Borwein (Jon) receives funding from ARC. David H. Bailey receives no funding from Australian sources. In recent weeks, two truly major results have been announced in the realm of (analytic) ...

Prime numbers are quite extraordinary. They're like "special snowflakes" - unique in the way that they don't have any other positive divisors other than the number 1 and the prime number itself.