What if I told you you'd very probably just show that the pattern continues to hold for the first 5 n?
You’d stifle mathematical innovation: after all, there are quite a few things that have been proved or discovered by people who were fortunate enough to not be told that they were solving a hard problem.
π(2^16)=6542: if you told me in elementary school that I might disproving something famous I can see myself working on that for a couple of hours daily for a week or so.