My Dell 1905FP has a stuck green pixel in the lower left hand part of the screen. I can't do anything about it. I just noticed it after using it for about a month. I tested the monitor out when I got it and there were no dead pixels. Now I'm pissed.
2014 is going to be a good year. More content, more streamlining. Be a part of history!
Had the same problem with an Acer AL1714 17" LCD display. According to the warranty of most manufacturers, they require 5 dead pixels across the entire screen or 3 in a cluster. LG is the only manufacturer that I know of that will warranty an LCD screen with only 1 dead pixel.
Just be glad you didn't get a white pixel, those are the worst.