Resolves NO on January 1, 2027 if no such proof has yet been found. Resolves YES if such a proof is found before then.
This would obviously likely be by an AI, but proofs from human mathematicians also count.
I wanted a version of this question that resolves closer to within my apocalypse timeline, so I'll actually be forced to pay up [by my reckoning] if I'm wrong and Fermat goofed or was messing with us. I'll also be forced to pay up if people just don't turn a lot of compute toward answering this question, but I think this setup gives overall better incentives to short-timeline people.
This does not suggest it will ever get simple. No normal human can understand "crystalline cohomology" 😂
https://xenaproject.wordpress.com/2024/12/11/fermats-last-theorem-how-its-going/