It took TWO MONTHS for my name to show up. My classmates weren't on there either so I knew it wasn't just me. I already had another job at the time so I didn't have a problem waiting, but other people in my class were able to get other forms of documentation from the school and they didn't seem to have any problems.
Your nursing school application should be fine if you include your certificate saying you passed. They can use your name or social security number to look you up in the system anyway (if you're on there by the time they process your app), so you don't necessarily NEED to include a registry number ON your application.