Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

Google and OpenAI have solved decades-old problems — but the scientific community is beginning to discuss whether limits ...

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to everyone.

Abstract: The computation of electromagnetic scattering from electrically large deep cavities poses significant challenges to existing full-wave numerical methods. In addition to the well-known ...

For generations, mathematicians have tried and failed to solve an 80-year-old problem. In May, an artificial intelligence (AI) model successfully tackled it. OpenAI, the maker of ChatGPT, said one of ...

OpenAI's artificial intelligence, or AI, just solved the planar unit distance problem, a tricky math challenge first posed in 1946 by Paul Erdos. The goal? Arrange points on a plane so as many pairs ...

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 ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...