Jayesh Govindarajan

Prof. Donald Knuth opened his new paper with "Shock! Shock!" Claude Opus 4.6 had just solved an open problem he'd been working on for weeks — a graph decomposition conjecture from The Art of Computer Programming. He named the paper "Claude's Cycles." 31 explorations. ~1 hour. Knuth read the output, wrote the formal proof, and closed with: "It seems I'll have to revise my opinions about generative AI one of these days." The man who wrote the bible of computer science just said that. In a paper named after an AI. Paper: cs.stanford.edu/~knuth/papers/…

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I've solved a second Erdos problem (#281) using only GPT 5.2 Pro - no prior solutions found. Terence Tao calls it "perhaps the most unambiguous instance" of AI solving an open problem:

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anyone have a good term for the fact that a prompt can work reasonably well for an LLM, and then you can change a few words and it messes up? The closest I could find was "jagged intelligence/frontier" (@karpathy @emollick) but they use it to mean something else I think (they use it to mean larger swaths of tasks that LLMs are good/bad at) x.com/karpathy/statu…

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