I had a similar approach with the following equation: What does the infinite series of 1/(k^2) converge to for k=1 to infinity. When I was in high school, I s

I had a similar approach with the following equation: What does the infinite series of 1/(k^2) converge to for k=1 to infinity. When I was in high school, I spent weeks going down this rabbit hole of mathematics, failing to solve it. Years later I discovered that this equation is a special case of the Riemann Zeta Function, which was also first studied by Euler. His proof is really elegant. The funny thing is that with some math equations, sometimes you intuitively can see that there is something important or far reaching about an equation, even if you arent skilled enough in mathematics to discover it. Some kind of curiosity draws you in