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OpenAI 用 Astra 模型解决十个长期未解数学难题

原标题:Ten advances in mathematics and theoretical computer science

Simon Willison's Weblog研究质量 77

AI 摘要

OpenAI 使用其下一代模型 Astra 的内部版本,在不到 2000 美元(按 GPT-5.6 Sol 代币价格计算)的成本下,解决了十个至少十年未获进展的数学问题。OpenAI 公开了 Lean 4 形式化证明、论文及 LLM 生成的证明重建 PDF,但未透露具体提示词。数学家对此反应不一,有人将其与 Deep Blue 事件类比,数学家 Kirwin Hampshire 甚至称其引发精神危机,而陶哲轩则将其视为向'大数学'转变的催化剂。

以上摘要由 AI 生成,可能存在误差。事实请以原文为准。

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1st August 2026 - Link Blog Ten advances in mathematics and theoretical computer science (via) A few days ago it was Anthropic discovering cryptographic weaknesses with Claude using Mythos Preview, spending $100,000 on tokens and with prompts that included "again we are not looking for low hanging fruit, we want proper research to find genuinly hard findings." Now it's OpenAI's turn to flex. They set "an internal version of Astra, our next major model" on finding solutions to ten mathematical pr


发布时间:2026-08-02 04:34
抓取时间:2026-08-02 17:40
来源机构:Simon Willison
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