Prime numbers scatter unpredictably across the number line, yet a single logarithmic formula estimates exactly how many exist below any number you choose. This is one of mathematics' most elegant ...

Terence Tao launched an open AI-assisted math challenge Monday after four independent mathematicians verified a key claim from OpenAI's disputed 722-manuscript release in two weeks. Open to anyone ...

Jacques HadamardMathematical papers contain proofs. However, reading a proof does not necessarily reveal the thinking that ...

This series has dealt with prime numbers. The first article “The Fermat Test — Another Principle of Primality Testing” ...

Unlike other recent AI proofs, this one has been unpacked by human experts. The implications, one mathematician said, are ...

This is a guest post by Thomas Hales. This blog post was initially written in a different file format and converted using AI. — T.] Mathematicians have been weighing in on what they value ...

The Fields Medalist and celebrated mathematician is on the front lines of a debate about artificial intelligence and the ...

OpenAI says it solved more than 370 math problems. Mathematicians say there could be breakthroughs in the bunch, if verified ...

Former U.S. NATO ambassador Ivo Daalder argues that the scramble to shore up Europe's conventional defense risks overlooking the continent's greatest security weakness: nuclear deterrence. Europe ...

Powered by vast arrays of graphics processing units, large language models code better than experienced coders and write ...

OpenAI has released 722 AI-generated math manuscripts on GitHub. We look at what the numbers mean, how far Lean verification extends across the 162 formalized manuscripts, and how the release compares ...

Conservative leader Kemi Badenoch – an increasingly impressive and growing force as polls last week attest – wisely picked up on this with her crackdown on the burgeoning benefits culture that is ...