{"slug": "how-did-claude-do-with-proving-constraints-on-near-perfect-numbers", "title": "How did Claude do with proving constraints on near perfect numbers", "summary": "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.", "body_md": "I am a mathematician, but not a number theorist. That said, I have found the near perfect conjecture interesting.\n\nI 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.", "url": "https://wpnews.pro/news/how-did-claude-do-with-proving-constraints-on-near-perfect-numbers", "canonical_source": "https://mathoverflow.net/questions/514377/how-did-claude-do-with-proving-constraints-on-near-perfect-numbers", "published_at": "2026-08-17 15:01:28+00:00", "updated_at": "2026-08-17 15:11:32.469996+00:00", "lang": "en", "topics": ["artificial-intelligence", "large-language-models", "ai-research"], "entities": ["Claude Fable"], "alternates": {"html": "https://wpnews.pro/news/how-did-claude-do-with-proving-constraints-on-near-perfect-numbers", "markdown": "https://wpnews.pro/news/how-did-claude-do-with-proving-constraints-on-near-perfect-numbers.md", "text": "https://wpnews.pro/news/how-did-claude-do-with-proving-constraints-on-near-perfect-numbers.txt", "jsonld": "https://wpnews.pro/news/how-did-claude-do-with-proving-constraints-on-near-perfect-numbers.jsonld"}}