Why the Legendary Erdős Problems Are Falling to AI

AI models have recently achieved major breakthroughs in solving long-standing mathematical problems posed by 20th-century mathematician Paul Erdős, with OpenAI's models finding counterexamples and solutions to multiple Erdős conjectures in 2026. These developments represent a significant phase transition in AI's mathematical capabilities, as the models have innovatively applied techniques from distant branches of mathematics that human mathematicians had not previously connected to these problems. Mathematicians are now examining what makes Erdős problems unique to understand how AI might transform the broader field of mathematics.