[Question] 2+2=π√2+n

This post mentions an equation from Ender’s shadow

Which kind of annoys me because either:

  1. It’s trivial to solve using algebra

  2. The joke is that the answer is irrational so it takes “forever” to solve

So the question I have is:

What is the best problem you know of having the following properties:

  1. Can be expressed as a short formula using “high school” math or less

  2. Has an integer (or rational I guess) answer

  3. ..which is less than 10**100

  4. And cannot be solved using contemporary mathematics

The first “almost” example I came up with was something along the lines of

Where are all prime. This should have a couple of large prime factors and hence be hard to factor, but notice it doesn’t satisfy criterion 3 (since we can easily factor numbers ~10**100**2)

Does anyone have a better example?

My other instinct was Ramsey Numbers but these seem to fail criterion 1 since I didn’t learn the definition in any high school math class.

Also thought of Collatz Conjecture which I guess would count if it had a counter-example < 10**100.