Solving years-old math problems with Gemini 2.5 Deep Think

with my most recent experience with uh Gemini deep think. The answer was spectacular. This is a mathematical conjecture that was made by some people some years ago.They didn't manage to prove it back then. They checked many cases and then they just left it as a conjecture. I asked the statement of the conjecture to Gemini deep think and it seems like it proved it right away with a completely different method.When I was thinking about solving that question, I was thinking about maybe three different things, ...