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Mathematics

Mathematicians have found a new way to identify prime numbers

The first breakthrough in finding prime numbers for over 25 years has mathematicians celebrating, with hopes that the techniques behind the new proof could further advance other areas of maths

By Alex Wilkins

18 October 2024

Can you find the primes?

ROBERT BROOK/SCIENCE PHOTO LIBRARY

For the first time in more than 25 years, mathematicians have proven a new way to identify prime numbers, and in doing so developed a toolkit that could allow further advances in number theory.

Prime numbers, which can only be divided by themselves or one, are the mathematical building blocks of whole numbers, and mathematicians have explored how they can be found and combined for hundreds of years. “New results about primes don’t come along that often, so whenever we get some new development, it feels worthwhile,” says Ben Green

Article amended on 22 October 2024

We have corrected the definition of the Gaussian primes conjecture

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