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This year, LLMs have been involved in a number of interesting proofs of conjectures. But that is not even half of mathematics. Has anyone tried to use an LLM to generate a mathematically interesting conjecture, on the level of Conway's refinement conjecture? If so, what happened?

With all the talk of mathematicians possibly being obsolete, I'm wondering where the future conjectures that future LLMs would prove might come from.

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I would not be surprised if an LLM could have generated this conjecture, since it's such a natural extension of the integers, does it hold for surreal integers is not a big leap. It's totally predictable / probabilistic and thats what they do at a high level.

My read on the current sitch is that the drama is more around the humans behind the LLMs, like the OpenAi *people*, who are dishonest, thieving, technocrats, stealing human mathematicians work and claiming credit for it. Since the LLMs are only trained on finite amounts of data on the internet I don't think anyone expects them to replace mathematicians in a serious way. But surely the field is changing dramatically, people will adapt.

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