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A mathematician used Fable 5 to disprove a major math problem

A mathematician has reportedly used the AI model Claude Fable 5 to disprove the Jacobian conjecture, an 87-year-old mathematical problem.

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The brief

A mathematician has utilized the AI model Claude Fable 5 to generate a counterexample to the Jacobian conjecture. The conjecture, which had remained unsolved since 1939, was reportedly addressed by the AI in a few hours. Reports also indicate the process output three new numbers related to Alpöge's function.

Coverage from outlets including New Scientist, GIGAZINE, Mashable, KuCoin, ForkLog, Inshorts, and Glitchwire emphasizes the surprise within the mathematics community regarding the AI's role in resolving the longstanding riddle. Anthropic researchers are identified as reporting on the model's output. Future reports will track the professional validation of the counterexample.

Coverage does not yet specify the broader implications for the field of mathematics or the verification process following the AI's output.

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Quick answers

What problem was disproven?

The Jacobian conjecture, an 87-year-old mathematical problem dating back to 1939.

What tool was used in this process?

The AI model Claude Fable 5, developed by Anthropic.

What else did the function output?

According to coverage, Alpöge's function also output three new numbers.

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