First, I don't think you want the prompt for the user to be inside the loop. It gets in the way of trying to figure out if you have a prime.
Next you are incrementing "count" in two places. You are going to confuse your self doing that.
You didn't add the quick and easy check for the user entering "2".
Don't worry about trying to loop to ask the user for another number. Get the program to work for the user entering one number. Than you will find it is easy to put all into a loop.
You are off to a good start. Add some print statements so that you can see what is happening and start
testing with easy ones.