IPhone 4 stuck on game center log on screen?

My iPhone is a little weird, when ever I want to open a game wich is requirers game center to play, it pops up where it says "Logo on" "Create a new apple-id" you get the idea. I type in my apple ID and password and click "log on" and then a loading circle just appears to the left of the "log on" button and nothing else happens, It has been like that for 5 minutes.

You probably have a weak Internet connection. Or the game that you're trying to login to has some issues of their own. If this is happening with multiple titles then try a hard reset of your iPhone. I've left a link on how to do this. If you're still having this issue result to the second link; it's to the official Apple Discussion Boards. Explain your situation in-depth there and they can help you out.