Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

If you enjoyed this article, I’d like to ask for your support. Scientific American has served as an advocate for science and industry for 180 years, and right now may be the most critical moment in ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Scientists have found a way to make GPS remarkably accurate in city "urban canyons," where navigation has long gone wrong.

News that large language models (LLM) have made major advances in solving Erdős problems – a set of problems formulated by the renowned 20 th-century mathematician Paul Erdős – has created an ...

An 80-year-old maths conjecture that has eluded the world’s greatest mathematicians has been cracked by an artificial intelligence model built by OpenAI. The result has stunned experts and is being ...

'Inside The Ropes' is the chance for Golf Monthly's expert team to share its honest thoughts on the biggest subjects in the game. This week, we discuss what can be done about golf's distance problem.

Know how to get the most out of your predictive tools. by Michael Luca, Jon Kleinberg and Sendhil Mullainathan Most managers’ jobs involve making predictions. When HR specialists decide whom to hire, ...