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This. The proof of Fermat’s Last Theorem took 15+ months to check. It’s absurd to see the media reporting that these big problems are solved based off of a news release and a hastily and mostly AI-written manuscript, and OpenAI et al. are all too happy to run with said breathless reporting.

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Wiles' proof was informal and couldn't be checked by a computer. In this case, the experts need to check 300 lines of Lean code (mostly comments) and confirm that it formalizes the problem statement correctly. There are papers building on the solution and analyzing it for more general versions of the problem, which suggests that the PDE community has already accepted it and moved on.

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