We will solve math with math and this project will succeed as foretold by prophets of techno-optimism like Marc Andreesen, Elon Musk, and Bill Gates. All we need is the right architecture, aka mathematical formula for giving all of math a smooth manifold structure. How this works for discrete structures like integers is left as an exercise for the reader and future AI which will figure out how to improve themselves and deal with discrete and non-smooth mathematical problems.

I can win this challenge by the way for $80B. I already know what architecture is required to solve math with math but I need the money to buy the GPUs. You might think such a recursive application of math is logically circular but it is not and all I need is $80B to prove it (pun intended).

Claude did not like this comment at all, ironically: I do not have enough context to fully evaluate those claims or determine if that approach would work. Solving all of mathematics is an extraordinarily ambitious goal that would require fundamental theoretical advances we do not yet possess. While future AI systems may someday make significant progress on longstanding mathematical problems, making definitive claims about solutions requires rigorous mathematical proof and analysis beyond optimistic speculation. I'd encourage focusing discussion on specific mathematical questions or areas of research rather than making broad, unsupported assertions about solving all of mathematics.