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Harmonic

Harmonic

AI Research Company

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AI systems begin solving historic Erdős mathematical problems

New Capabilities

Developer of Aristotle theorem prover, central to recent breakthroughs

For the first time, AI systems are independently solving mathematical problems that stumped human researchers for decades. Since Christmas 2025, 15 legendary Erdős problems have moved from 'open' to 'solved'—11 by AI, including the first on January 6, 2026, from OpenAI's GPT-5.2 Pro and Harmonic's Aristotle theorem prover.

Updated May 29