Btw it seems like this one is not completely verified yet with Lean. And many others also seem to not be verified with Lean.
Seems strange that they would release so many where a lean check is doable but not done.
I love this theorem. And I hope many people work to improve AI’s proof of it. The Book Proof is still out there! :-)
Replying to @archernikov
Ah, missed that. He said he was also really excited for this Ramsey result
Decades worth of “progress” can now be accomplished in 3 weeks using a single model.
The era of theorem abundance is here.
We’re working with an independent advisory group of mathematicians to help OpenAI responsibly share advances in AI and mathematics.
The group will advise on how we assess and communicate new mathematical results, uphold academic and professional standards, and build tools that support mathematical research and learning.
Through this work, we want mathematicians to be at the center of shaping how AI supports mathematical understanding and how its benefits reach the wider community.
openai.com/index/advisory-gr…
The Bernoullis were more than a family of mathematicians; they formed a remarkable mathematical dynasty.
Across several generations, Jacob, Johann, Daniel, and others made important contributions to mathematics and mathematical physics during the 17th and 18th centuries, alongside figures such as Newton, Leibniz, and Euler.
Their story also includes one of the most famous rivalries in mathematical history. Jacob and Johann initially collaborated in studying Leibniz’s calculus, but their relationship gradually deteriorated into a bitter and very public competition, with the brothers challenging and criticizing each other over mathematical problems and priority.
Whether this rivalry actually fueled their achievements is difficult to establish. What is clear is that their intense competition existed alongside work of lasting importance, and their family became one of the most influential mathematical lineages in early modern Europe.






















