Despite multiple conferences dedicated to explicating Mochizuki’s proof, number theorists have struggled to come to grips with its underlying ideas. His series of papers, which total more than 500 ...

OpenAI just used its new large language model GPT-5.6 Sol to solve a math problem that humans have struggled with for more than a half-century. And all it took was telling the artificial intelligence ...

Artificial intelligence has been inching toward genuine mathematical discovery for years, but a claim from OpenAI in early ...

In 1976, Appel and Haken proved the Four Color Theorem by reducing it to thousands of cases and checking them mechanically.

A series of recent research papers have shown that ChatGPT and related large language models can produce original, verifiable mathematical proofs, including solutions to problems that had not been ...

Despite the greatest strides in mathematics, these hard math problems remain unsolved. Take a crack at them yourself.

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Forbes contributors publish independent expert analyses and insights. Anisha Sircar is a journalist covering tech, finance and society. This voice experience is generated by AI. Learn more. This voice ...

Mathematical reasoning and proof lie at the heart of both school and university curricula, serving as the means by which learners move from concrete examples to general, abstract understanding.