OpenAI has published new results addressing open problems in mathematics, drawing on an internal frontier model and formalized proofs developed in Lean, a programming language used to verify mathematical reasoning.

The company said it is sharing research details and Lean proof formalizations through GitHub. The materials are intended to provide additional insight into how the model approached the problems and how its results were checked.

The announcement was published on the OpenAI blog on Oct. 6, 2026. The company did not provide further details about the specific mathematical problems in the email notice.