“You don’t have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The Book, which only exists in theory, contains the most elegant proofs of ...

The original version of this story appeared in Quanta Magazine. A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime ...

The ancient Greeks wondered when “irrational” numbers can be approximated by fractions. By proving the longstanding Duffin-Schaeffer conjecture, two mathematicians have provided a complete answer. The ...

“We’ve been stuck and running out of ideas on the problem for a long time, so it’s automatically exciting when anyone comes up with new insights,” said James Maynard, a mathematician at the University ...

It's all about the polynomials, baby. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Mathematicians have uncovered a big new piece of evidence ...

We Will Never Stop Proving the Prime Number Theorem | RealClearScience “You don't have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The ...

Like a mirror image of Bedford's Law, mathematicians have found a pattern in prime numbers that raises more questions than it answers. Share on Facebook (opens in a new window) Share on X (opens in a ...

Add Yahoo as a preferred source to see more of our stories on Google. Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, ...

An odd new paper without peer review claims prime numbers have "genes," "roots," and “offspring." Prime numbers are essential to modern life because they underpin all of encryption. What is written ...

Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, mathematicians have wondered if the prime numbers are truly random, or if ...