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Claude Fable 5 AI Posts Jacobian Conjecture Counterexample, Solving Major Problem

7/21/2026

Summary

Story summary

Levent Alpöge announced on 19 July 2026 that Claude Fable 5 AI produced a counterexample disproving Jacobian conjecture.
He posted the 216-character example on X, which experts verified quickly.
Abhishek Saha of Queen Mary University of London called it biggest math problem solved by AI and said it resolves the three-variable case.
Chris Bowman-Scargill of the University of York said AI can find counterexamples but new theory needs human creativity.

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Story summary

Levent Alpöge announced on 19 July 2026 that Claude Fable 5 AI produced a counterexample disproving Jacobian conjecture.
He posted the 216-character example on X, which experts verified quickly.
Abhishek Saha of Queen Mary University of London called it biggest math problem solved by AI and said it resolves the three-variable case.
Chris Bowman-Scargill of the University of York said AI can find counterexamples but new theory needs human creativity.