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Claude Fable 5 AI finds a tiny formula that topples an 87-year-old math conjecture

A mathematician used Claude Fable 5 AI to discover a simple counterexample that disproves the Jacobian conjecture in three dimensions and higher, showing the AI's potential in mathematical research. The conjecture, which had remained unproven for over a century, suggested that certain polynomial functions could always be reversed under specific conditions. The finding highlights how AI can assist in identifying complex mathematical patterns and solutions. The two-dimensional version of the conjecture remains unresolved.

What happened

An AI model called Claude Fable 5 helped find a simple formula that disproves a long-standing math conjecture in three dimensions and above.

Why it matters

This shows AI can help mathematicians discover new ideas and challenge old assumptions, opening up new areas of research.

Why it belongs here

It highlights how technology and human insight can work together to solve complex problems and advance knowledge in unexpected ways.

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