How do I keep my lockscreen from turning off on my S3? I want to keep my lockscreen on longer than the few seconds it does now by default.  I don't see any settings to change this in the menus.  Is there a way to keep it on for 10 minutes or even permanently?

OS: 4.1
Phone: S3
i guess what you are trying to say is that you want the screen to stay for a longer period of time after getting locked.

If that's the query then it has a very simple answer.

Simply go to settings>display. Now there you must see something like 'Screen timeout'. Just tap on that and choose the time you want to keep the screen awake.

Now it'll also keep the home screen awake for the selected time. This is because there are no settings for changing the screen timeouts differently for home and lock screens. 

What you can do now is simply press the lock screen button at the top right. Once the screen gets locked press it again such that the lock screen appears. Now it'll say for the time you selected. :) 

Hope it helped. A positive vote is always appreciated. :D