https://freerepublic.com/tag/paulerdos/ en-us Tue, 26 May 2026 15:29:32 GMT Focus Forum 15 https://freerepublic.com/focus/f-chat/4381038/posts Google Deepmind's new framework AlphaProof Nexus has autonomously solved nine out of 353 open Erdős problems it attempted, including two questions that had gone unanswered for 56 years. The system also proved 44 out of 492 open conjectures from the Online Encyclopedia of Integer Sequences (OEIS), settled a 15-year-old question about Hilbert functions in algebraic geometry, and improved a known bound in convex optimization. Inference costs ran just a few hundred dollars per problem, according to the research paper. Unlike (potentially) pure natural-language approaches such as OpenAI's recent solution, the underlying language model in AlphaProof Nexus—in this case Gemini 3.1... The Decoder https://freerepublic.com/focus/f-chat/4381038/posts#comment Tue, 26 May 2026 15:29:32 GMT