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Claude一举扫清2000阶以下哈达玛矩阵!AI开始清空数学待解列表

量子位 AI for Mathematics 衡宇 2026-08-13
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TL;DR - Three mathematicians working with Claude reportedly constructed Hadamard matrices for all 12 previously unresolved orders below 2,000, including the long-standing smallest gap at order 668. The results passed exact computational checks, but the method and Claude’s role await a full technical report.

  • The matrices contain only ±1 entries, with every pair of distinct rows having inner product zero.
  • The reported orders are 668, 716, 892, 1132, 1244, 1388, 1436, 1676, 1772, 1916, 1948, and 1964.
  • Independent reproduction decoded and verified all 12 matrices using exact integer arithmetic.
  • Epoch AI provisionally marked FrontierMath’s order-668 open problem as AI-solved, while noting that the construction’s generalizability remains unknown.

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