If you're a graduate student in your 20s, is it okay to date a younger professor?

I'm a graduate student and am 23 years old. My piano teacher is in his early 30s, and, as far as I know, single and straight. I'm going to be honest with you: I frequently have the urge to jump him during lessons. Do you think it's inappropriate to date/sleep with a professor? I'm not actually a piano major; I simply take lessons "on the side." p.s. I'm not unattractive, so I'm hoping he would go for it. ;) I have DDs and have caught him checking me out before. Thoughts?