Suppose you were bored. Most of us are, most of the time.
Suppose because you were bored you ended up getting an app that makes graphs based on polar coordinates (distanceFromCenter, angleFromOrigin).
So, because you're bored, you ask the question: "Why does the polar plot for all prime numbers look like a cool spiral from far away, but then looks like a bunch of rays from really far away, only to look like a spiral again from REALLY REALLY far away?".
Would you ever, ever imagine that the answer to that question would be "because 22/7 is very close to pi, and 365/113 is even closer"?
If you did, congrats you're a math genius (or you already know what I'm talking about).
If you didn't take a look at this and frolick.