I've seen one Twitter thread from a mathematician who used an llm to come up with a new math result. Both coming up with the theorem statement and a unique proof,iirc.
Though to be clear, this wasn't a one shot thing - it was iirc a few months of back and forth chats with plenty of wrong turns too.
Then he used it as a random text generator, LLM is by far the most configurable and best random test generators we have. You can use that to generate random theorem noise and then try to work with that to find actual theorems, still doesn't replace mathematicians though.
> AI assisted in the initial conjectures, some of the proofs, and most of the applications
it was truly a collaborative effort
> i went back and forth between outrageous optimism and frustration through this process.
i believe that the current models can reason – however you want to interpret that.
i also believe that there is a long way to go before we get to true depth of mathematical results.