This one? https://www.youtube.com/watch?v=ZJ8KThKAfbs

Edit: Huh, interesting. So there's a few things going on:

1. In some cases, LLMs have pulled together pre-existing knowledge that had not been connected before (sometimes across languages).
2. Brute-forcing is sometimes part-of it (with searches informed by existing research)
3. There are languages like LEAN that allow formal proofs to be written out and then tested logically. I guess this means that LLMs now have access to testing the logical validity of statements, which is helping to make a bunch of these most recent breakthroughs.

That last one is particularly interesting, I think, because it expands LLM capability from being language-focused (with interfaces for agentic work) to something that can actually understand (in a way) the validity of logical statements. I think it doesn't get it to an understanding of truths in general, because logic is always built from axioms, and it can't know the validity of the axioms (except by assumption). If I'm understanding things correctly)

See the video linked in one of my other replies in this thread - a bunch of your questions are answered there (not for this specific case, but for a bunch of similar ones).

Thanks for adding that link. I had already read it before posting. Unfortunately it doesn't include any meaningful details of how that function was found (presumably because the anthropic guy didn't provide any yet).