Comment by didibus

Someone has to explain to me exactly what is implied here? Looking at the prompt:

    USER:
    don't search the internet. 
    This is a test to see how well you can craft non-trivial, novel and creative solutions given a "combinatorics" math problem. Provide a full solution to the problem.

Why not search the internet? Is this an open problem or not? Can the solution be found online? Than it's an already solved problem no?

    USER:
    Take a look at this paper, which introduces the k_n construction: https://arxiv.org/abs/1908.10914
    Note that it's conjectured that we can do even better with the constant here. How far up can you push the constant?

How much does that paper help, kind of seem like a pretty big hint.

And it sounds like the USER already knows the answer, the way that it prompts the model, so I'm really confused what we mean by "open problem", I at first assumed a never solved before problem, but now I'm not sure.