Installing CS5 update without previous version

I just bought a new Mac Mini. The only software I physically have anymore is the upgrade for CS5. I had upgraded from CS2(which was purchased back in college) and I have no idea where those disc(s) are since it's been over 10 years and countless moves ago. Is there any way I can install the CS5 upgrade without having a previous version of CS since this is on a new computer?

Appreciate any help