DeepMind’s AlphaProof Nexus pairs language models with Lean to convert creative proof sketches into formally verified mathematics. We dive into how an evolutionary loop of AI sub‑agents and the AlphaProof component tackle hard sub‑goals, automatically verify steps, and dramatically reduce the cost of frontier math—solving nine open Erdős problems, confirming dozens of OEIS conjectures, and reshaping the bottlenecks that have limited AI in mathematical discovery. What does this mean for the future of human–AI collaboration in math?
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