Solution to the Hadamard Hypothesis Using Claude Models
Claude models have likely helped find a solution to the Hadamard Hypothesis, which remained unsolved for 20 years.
You won't believe it, but this tweet contains the solution to yet another mathematical problem.
Plus signs represent plus one, and minus signs represent minus one. This long construction is a Hadamard matrix of order 668 (only one-fifth is shown in the screenshots).
The Hadamard Hypothesis was formulated in 1893 and has been proven for almost all dimensions except for a few shadow cases, including dimension 668. This case remained unsolved for 20 years.
Apparently, the solution was discovered by one of the Claude models (the tweet belongs to an Anthropic employee).
Why it matters
AnalysisThis is significant as solving the Hadamard Hypothesis could have a major impact on mathematics and information theory. The use of AI to tackle complex mathematical problems showcases the potential of technology in scientific research.
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