Mathematician (Distinguished Professor of #Math# at @RutgersU). Here to learn about research, education, and community. Let’s build something together.
Sept 4 (Friday of Labor Day weekend): FLT formalization announced by Anthropic
Sept 7/8: Tristan+Levent -> OpenAI announce Navier-Stokes
But somehow amidst all the commotion, we all seemed to have missed the following (!!!).
Sept 6: Lech Mazur claims an AI-generated proof that a positive proportion of numbers go back to 1 under Collatz!! And it's Lean-formalized. I went through the Lean (or rather, had my AI do it) and I think it's right. Now I'm trying to make sense of the math (doesn't look like anything is too hard, just a lot of arguments, building on top of Terry's earlier work).
Naoufal El Jaouhari, an Applied Maths Engineer based in Paris, wrote to me a few days ago that he'd gotten his AI to formalize the same proof for 3x-1 building on Mazur, which led me to look at Mazur.
Now I'm working on a "digestion" of all of this. Weird wild stuff!!