Anthropic研究员与Claude合作构造668阶哈达玛矩阵,扫清2000阶以下全部未解阶数
AI协助数学家构造出最小未知阶668哈达玛矩阵,清空2000阶以下未解情况,展示AI推动纯数学研究的能力。
哈达玛矩阵是由±1组成的正交方阵,其存在性关联未证明的哈达玛猜想。Anthropic研究员Alpöge与Claude及人类伙伴构造出668阶矩阵,使2000阶以下所有未知阶数被清空,成为FrontierMath开放问题中第四个被AI解决的问题。
正文摘录
- title: Claude Sweeps All Hadamard Matrices Below Order 2000! AI Begins Clearing the Math Open-Problem List - sourcecompany: QbitAI - bodymarkdown: Not long ago, an Anthropic researcher used Fable 5 to disprove the Jacobian conjecture. Now, that same researcher, together with two human collaborators, has used Claude to construct a Hadamard matrix of order 668! Annoyingly, Fable refuses to decrypt this remarkable tweet, and humans had to resort to GPT 5.6 Sol to see what was going on. Anthropic researcher and mathematician Levent Alpöge reports that they have found a solution for the Hadamard matrix of order 668, and thanks the team of three humans and Claude. As a result, this problem has been included in the FrontierMath benchmark, a high-level mathematical reasoning test for large model…