A couple of hours ago I noticed brown spots on two of my fingers, I doubt they're from the sun because school started today so we never went outside for anything and I spent pretty much my whole day inside a building. It doesn't hurt or burn or anything but I am worried.

We can't see them, and for all we know they are freckles. They could be just about anything. If they grow lumpy or change in any way, then worry about them - by seeing a doctor.