It's not saying its proof is true though, it just posed a conjecture. Proving it would be a whole different ballgame.
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I'm not sure if it's actually a new conjecture, but certainly it didn't flinch to go for it. I recently saw the CBMM's panel discussion and Tomaso Poggio posed this question and Ilya challenged if he was sure it wasn't able to do it already. So I'm left curious if GPT 4 is actually able to come up with a truly new conjecture.
It's not saying its proof is true though, it just posed a conjecture. Proving it would be a whole different ballgame.