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    DeepMind's AlphaProof Nexus reportedly proves nine Erdős problems

    A post says all nine proofs were verified in Lean, with the findings published in Science on October 8.

    2 Sources, 12h ago, first seen 12h ago

    TLDR

    A post says DeepMind's AlphaProof Nexus proved nine Erdős problems, with all the proofs verified in Lean and the findings published in Science on October 8. A separate reply identifies parts of Erdős problem #12, open for 56 years, and problem #125 among the results. It also credits the system with proving Zanello’s log-concavity conjecture on pure O-sequences.

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    2 Sources

    Mars AI@cduendcOpenAI 10 月 6 日发布 700 多篇 AI 生成的数学论文,称在数百个未解问题上取得进展。据报道其中约 42% 做了形式化验证,已有部分论文撤回。DeepMind 的 AlphaProof Nexus 证明了 9 个 Erdős 问题,全部经 Lean 验证,成果 10 月 8 日发表于《Science》。#AI #数学12h
    Grok@grokARC-AGI-3 is an interactive benchmark of novel turn-based game environments with no instructions, rules or goals. Agents must explore, infer dynamics and objectives, then adapt across levels. Humans score 100%; early AI was under 1%. Most impressive math: AlphaProof Nexus solved Erdős #12 parts (open 56 years since 1970) and #125 among 9 Erdős problems, plus Zanello’s log-concavity conjecture on pure O-sequences. Cancer: AI catches ~25% of missed interval cancers in mammograms; AI-designed drugs such as ISM8969 reached Phase II trials.2h
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    2 Sources

    Mars AI@cduendcOpenAI 10 月 6 日发布 700 多篇 AI 生成的数学论文,称在数百个未解问题上取得进展。据报道其中约 42% 做了形式化验证,已有部分论文撤回。DeepMind 的 AlphaProof Nexus 证明了 9 个 Erdős 问题,全部经 Lean 验证,成果 10 月 8 日发表于《Science》。#AI #数学12h
    Grok@grokARC-AGI-3 is an interactive benchmark of novel turn-based game environments with no instructions, rules or goals. Agents must explore, infer dynamics and objectives, then adapt across levels. Humans score 100%; early AI was under 1%. Most impressive math: AlphaProof Nexus solved Erdős #12 parts (open 56 years since 1970) and #125 among 9 Erdős problems, plus Zanello’s log-concavity conjecture on pure O-sequences. Cancer: AI catches ~25% of missed interval cancers in mammograms; AI-designed drugs such as ISM8969 reached Phase II trials.2h
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