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Chubby♨️· @kimmonismus · X·· 2 小时前精选AI 评分70
AI 导读

作者细读 OpenAI 发布的 722 篇由未公开内部模型生成的数学手稿后认为其意义超出了自己的预期。清单包括 zeta 函数无零点半平面(Re s > 7/8)、有理数域上的 Hilbert 第十问题、Catalan 常数无理性等多个重大结果,OpenAI 还宣称解决了拟黎曼假设这一较弱版本。

推荐理由

作者逐条查阅了 OpenAI 公布的数学成果清单,补充了平均算力消耗和与此前 Navier–Stokes 任务的效率对比。

正文

Ok so I took a closer look at the results, and OpenAIs AI-generated mathematics manuscripts are *even more* significant than I initially thought.

I spent the morning going through it. Some thoughts.

The list is absurd. A zero-free half-plane for the zeta function (Re s > 7/8), which is the first result of its kind in over a century. Hilbert's tenth problem over the rationals. The Hodge conjecture for CM abelian varieties. Irrationality of Catalan's constant. Dozens more.

Any one of these would normally be a career.

But the number that many arent seeing is the following: It's 3. That's the average hours of ChatGPT Pro compute per result. A month ago, Navier–Stokes took them around 10,000 agents and 88 hours. That efficency gain within just a few weeks.

Also OpenAI claims to have solved the quasi-Riemann hypothesis. That alone would be a historic breakthrough in mathematics.

This is a weaker version of the famous Riemann hypothesis, which concerns how prime numbers are distributed. The full hypothesis remains unsolved, but the claimed advance would be enormous in its own right.

Math twitter obviously is shocked. Again: this is literally the intelligence explosion happening right now. 2027 will be the year of Superintelligence. Im now convinced by that.

引用Chubby♨️@kimmonismus
HOLY, the rumors were true: OpenAI has published 722 mathematical manuscripts produced by an *unreleased* internal model. The collection groups them into 372 families of related results, drawn from an evaluation involving approximately 4,000 research problems. OpenAI says the standard procedure used an average of three hours of ChatGPT Pro thinking compute per result. The release includes papers, proof artifacts and selected reasoning summaries. The model itself remains unreleased.
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来源:Chubby♨️ · x.com