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[ARTICLE · art-99953] src=mathoverflow.net ↗ pub= topic=artificial-intelligence verified=true sentiment=· neutral

How did Claude do with proving constraints on near perfect numbers

A mathematician asked Claude Fable, an AI model, to prove constraints on near perfect numbers, and Claude produced a document available at a Dropbox link. The mathematician is now questioning whether the proof is correct and whether it contains any original results.

read1 min views19 publishedAug 17, 2026
How did Claude do with proving constraints on near perfect numbers
Image: Mathoverflow (auto-discovered)

I am a mathematician, but not a number theorist. That said, I have found the near perfect conjecture interesting.

I asked Claude Fable to prove what it could, and got this document: https://www.dropbox.com/scl/fi/crxuz0i61yzlvobwjpvmm/almost-perfect-note.pdf?rlkey=wdlsmzx2llk71jyspc2178br1&dl=0 I wonder if the proof is correct and if there is any originality.

source & further reading
mathoverflow.net — original article In the age of AI, should math papers be thought of as "prompts"? Why are you not panicking? [closed] What is stopping Mathematics from being AI driven? [closed]
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