A childhood math pattern led me to question Jung’s claim that archetypes exist beyond the mind—and to ask which patterns come ...

A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...

ABSTRACT: Let n≥10 be an even integer. It is proved that there exists a prime number p and a composite number c such that n=p+c . The proof is constructed using elementary number theory, incorporating ...

William Ross does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

Are you ready to take another shot at winning the Mega Millions lottery? It's a long shot – 1 in 302.6 million odds to be exact. But for $2 a drawing, maybe it's worth another try? You can let a ...

If you've got the time, we've got the riddle. And it's time for a riddle about time: How many numbers are on a clock? It begins with the simplest of questions that, nevertheless, has no simple answer.

Most people experience a sense of inferiority from time to time. When we compare ourselves to people who are highly skilled, such as professional athletes, renowned scientists, celebrities, or more ...

AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...