AI
An AI just broke an 87-year-old maths problem, in a tweet sent during the World Cup final
Image: Primary An AI just broke an 87-year-old maths problem, in a tweet sent during the World Cup final. Levent Alpöge announced on X that the Jacobian conjecture is false, thanking a friend and "fable" for working during the match.
That second friend was Fable 5, Anthropic's latest AI model. Together they produced a counterexample to a problem that had resisted mathematicians for 87 years. The counterexample is 216 characters long and consists of a plain list of polynomials that any mathematician can verify by hand.
Alpöge, a Harvard fellow, lists an Anthropic affiliation. Fable 5 is Anthropic's newest frontier model, the public version of the system once called Claude Mythos. The result is easy to check even if it was hard to find.
Finding it was the needle-in-a-haystack part, and that is where the machine came in. It was not a one-line prompt, cautioned Bartósz Naskręcki, one of many mathematicians now waiting for Alpöge's full write-up. Searching for a counterexample like this, he said, takes real insight.
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