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Google DeepMind's AlphaProof Nexus Autonomously Solves 9 Open Erdős Problems at a Few Hundred Dollars Each
Google DeepMind's AlphaProof Nexus, fusing Gemini 3.1 Pro with the Lean formal proof assistant, autonomously solved 9 of 353 open Erdős problems and proved 44 of 492 open OEIS conjectures — two problems had been open for 56 years. Published in arXiv 2605.22763v1 on May 21, the system generates machine-checkable formal proofs at a cost of a few hundred dollars per problem, marking the most credible demonstration yet of AI doing genuine mathematical research.
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