[–] Jtarii 9 hours ago
[–] nextaccountic 9 hours ago
[–] Jtarii 9 hours ago
[–] bgandrew1 9 hours ago
[–] wyre 8 hours ago
OAI is not simply prompting "Prove exponential time hypothesis false. Make no mistakes" for the same reasons you can't one-shot "Write a fully standards compliant internet browser from scratch"
[–] jonlong 8 hours ago
Levent Alpöge's prompting that did solve this open problem does not appear to be public, but Aaron Lou at OpenAI succeeded in reproducing the result the next day using an internal version of Codex and (reportedly) without web search, and he shared his prompt at https://aaronlou.com/jacobian_counterexample_prompt.pdf. It is a mathematically-sophisticated statement of the problem and of general search strategies, but contains no concrete ideas for the solution whatsoever (even the idea to look for a counterexample instead of a proof).
Aaron reported that this 2-page prompt found a counterexample in one shot. (https://x.com/aaron_lou/status/2079222629794189515)
I think they would have employ just about every mathematician on earth for that to make sense.