The proof resolves a nearly 80-year-old problem known as the Duffin-Schaeffer conjecture. In doing so, it provides a final answer to a question that has preoccupied mathematicians since ancient times: ...

Infinity down, only 69,999,997 to go. New research has proven that prime numbers don't just disappear as numbers get larger — instead, there is an infinite number of prime numbers separated by a ...

Sixty-five million sound like a big deal by any standard. That’s the size of the improvement that an online army of collaborating mathematicians has already made to a groundbreaking proof involving ...