Researchers, including mathematician Levent Alpöge and an AI named Claude, have reportedly found solutions for constructing Hadamard matrices of various orders, including the previously elusive 668th order. This breakthrough addresses a long-standing challenge in mathematics, as the 668th order was the smallest unknown critical order for Hadamard matrices. The findings, which also cover 11 other orders below 2000, have been temporarily marked as 'solved by AI' on the FrontierMath benchmark by EpochAI. This development highlights the increasing role of AI in assisting mathematicians with complex, long-standing problems. AI
IMPACT AI is increasingly becoming a powerful tool for mathematicians, accelerating the pace of discovery in fundamental research.
RANK_REASON AI model assists in solving a long-standing mathematical problem, which is a research milestone. [lever_c_demoted from research: ic=1 ai=1.0]
- Claude
- Claude Fable 5
- EpochAI
- FrontierMath
- GPT 5.6 Sol
- Hadamard Matrix
- Levent Alpöge
- Philippe Voinov
- Saul Reynolds-Haertle
- Terence Tao
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