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.

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 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.