Dead Pixel...

You can see if you can take it back and exchange it for a different one, but I'm not sure if they will if its only one pixel. Would be worth a shot, especially if you're really persistent about it.

You could also see if there is a dead pixel fixer app in the app store. You just need something that will flash a lot of different colors really fast on the screen as that sometimes gets then 'unstuck'.

quote Nagare

Take it into an Apple Store and let them know, usually at the start of a new product cycle they will quickly replace any defective products so that they can figure out manufacturing defects and keep the brand reputation up.

See, that's sort of the problem, there isn't an Apple store located near me and the closest one is probably around 100 miles away. Would sending it to AT&T be ok? That's pretty much my provider.