Login

Newly-discovered prime number is more than 17 million digits long

mersenne prime stock 1020

The computer of Dr. Curtis Cooper at the University of Central Missouri has made a rare mathematical discovery — the world’s largest known prime number, 257,885,161 - 1. The integer is more than 17 million digits long, so if you wanted a hard copy to hang on your wall or something it would take more than 13,000 pages of A4 paper. The size of the find crushes the 2009 discovery of 243,112,609 - 1, which fell just shy of the 13-million-digit mark.

The top 10 largest known primes are Mersennes uncovered by GIMPS

Cooper’s find is part of the Great Internet Mersenne Prime Search (GIMPS) —a distributed computing project that hunts down Mersenne primes. The numbers take the form 2p - 1, where p is also a prime number, although not all numbers that have the form are prime — hence the years of non-stop computation between discoveries. The New Scientist points out that all of the top 10 largest known primes are Mersennes uncovered by GIMPS.

So far, the world’s number crunchers have only turned up 48 Mersenne primes in all, although mathematicians conjecture that there might be an infinite number of them. In other words, there’s still a lot more searching to do. And that searching gets more and more time-consuming the further out we search. The check to ensure that Cooper’s prime was, in fact, not divisible by any rogue factors took 39 days of continuous work from one of the campus computers.

The Verge
X
Log In Sign Up

forgot?
Log In Sign Up

Forgot password?

We'll email you a reset link.

If you signed up using a 3rd party account like Facebook or Twitter, please login with it instead.

Forgot password?

Try another email?

Almost done,

Spinner

Authenticating

Great!

Choose an available username to complete sign up.

In order to provide our users with a better overall experience, we ask for more information from Facebook when using it to login so that we can learn more about our audience and provide you with the best possible experience. We do not store specific user data and the sharing of it is not required to login with Facebook.