GPT-6 Astra Joins Humans in Breaking Through a Major Mathematical Problem: AI Is No Longer Just a Problem-Solver, But a Pattern Discoverer
On the top AI math benchmark FrontierMath, an open problem that had been unsolved for nine years, "Is the core of the approval committee empty?", was solved by GPT-6Astra and three researchers. Originally, they were looking for a counterexample to "the core is empty," but the model proved that no such counterexample exists, meaning that an absolutely fair committee must always exist under any circumstances, and also proposed a new method.