I saw a video on Riemannian Conjecture. And there the Professor who was working at the forefront of figuring out the answer was saying that even if the solution is possible to be figured out it would be implicit and based on statistical data. Like Proof by Induction. We don't know what is happening between base case and k and but we can prove the result for k + 1. Then the hypothesis holds.

So if the solution is true for couple of series it would be true for all.

Do you the Mathematicians think the same way?