A generator equation can spit out many prime numbers, but it leaves important mathematical questions unanswered ...

A Careful Sidestep The Riemann hypothesis is a statement about a central formula in number theory called the Riemann zeta function. The zeta (ζ) function is a generalization of a straightforward sum: ...

Around 300 B.C.E., the Greek mathematician and logician Euler proved that there are infinitely many prime numbers. Euler began by assuming that there is a finite number of primes.

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 ...

Today, people use complex computing networks to search for prime numbers with millions of digits. But early mathematicians were running these calculations by hand.