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2026年10月7日、OpenAIが未公開のフロンティアAIモデルを用いて生成した722本の数学論文原稿および関連データをGitHub上で一般公開しました。人工知能が現代数学の未解決問題において高度な定理発見や証明を行う段階に到達したことを示している事実として捉えられています。 公開された成果の中には準リーマン予想やホッジ予想などの重要な進展が含まれているものの、大半の論文は証明支援系による形式化が未完了であり、人間の専門家に対する過剰な査読負担や検証の非対称性が深刻な課題として浮き彫りになっています。 本件について生成AIに深掘りさせましたのでご参照ください。なお、生成AIによる調査・分析結果は、公開された情報だけに基づくものであり、必ずしも実情を示したものではなく、誤った情報を含む可能性があることにご留意のうえ、ご参照ください。 OpenAIが準リーマン予想の証明を含む、AIによる数学証明論文722本を公開 10/7 https://news.yahoo.co.jp/articles/fc1302876865de08456c421c5493e88bc9b28d45 OpenAI Releases 722 AI-Generated Mathematics Papers On October 7, 2026, OpenAI made 722 draft mathematics papers generated using an unreleased frontier AI model, along with associated data, publicly available on GitHub. This is being viewed as evidence that artificial intelligence has reached a stage at which it can undertake advanced theorem discovery and proof construction in research on open problems in modern mathematics. Although the released work includes significant advances on problems such as the quasi-Riemann hypothesis and the Hodge conjecture, the proofs in most of the papers have yet to be fully formalized using proof assistants. This has highlighted serious challenges, including the excessive peer-review burden placed on human experts and the asymmetry between generating results and verifying them. I asked generative AI to explore this development in depth. Please take a look at the findings. Please note that the AI-generated research and analysis are based solely on publicly available information, do not necessarily reflect the actual situation, and may contain errors. Please bear these limitations in mind when reviewing the results. Your browser does not support viewing this document. Click here to download the document. Your browser does not support viewing this document. Click here to download the document. Your browser does not support viewing this document. Click here to download the document. Your browser does not support viewing this document. Click here to download the document. Your browser does not support viewing this document. Click here to download the document. Your browser does not support viewing this document. Click here to download the document. Your browser does not support viewing this document. Click here to download the document. Your browser does not support viewing this document. Click here to download the document. Your browser does not support viewing this document. Click here to download the document.
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著者萬秀憲 アーカイブ
April 2026
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