The Erdos problem was solved by interacting with a formal proof tool, and the problem was trivial. I also don't recall if this was the problem someone had already solved prior but not reported, but that does not matter.
The point is that the LLM did not model maths to do this, made calls to a formal proof tool that did model maths, and was essentially working as the step function to a search algorithm, iterating until it found the zero in the function.
That's clever use of the LLM as a component in a search algorithm, but the secret sauce here is not the LLM but the middleware that operated both the LLM and the formal proof tool.
That middleware was the search tool that a human used to find the solution.
This is not the same as a synthesis of information from the corpus of text.
That would be like saying studying mathematics can't lead to someone discovering new things in mathematics.
Nothing would ever be "novel" if studying the existing knowledge could not lead to novel solutions.
GPT 5.2 Thinking is solving Erdős Problems that had no prior solution - with a proof.