mathematics number theory prime numbers twin primes conjecture All topics More than 2,000 years ago, the Greek mathematician Eratosthenes came up with a method for finding prime numbers that continues ...

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 ...

Analytic number theory occupies a central place in modern mathematics by employing analytical techniques to address questions surrounding the distribution of prime numbers and the behaviour of ...

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.

Kaisa Matomäki has proved that properties of prime numbers over long intervals hold over short intervals as well. The techniques she uses have transformed the study of these elusive numbers. This ...

EINSTEIN's statistical theory of Brownian motion has two aspects, one dealing with distribution in time, the other with distribution in space. It is known 1 that, while the spatial distribution is ...

Two mathematicians have found a strange pattern in prime numbers—showing that the numbers are not distributed as randomly as theorists often assume. “Every single person we’ve told this ends up ...