It should be noted that math sort of breaks down when you actually hit c. As I understand it, the math is a bit undefined as you're effectively past the asymptote. Technically, I've always read that light has no reference frame.

Basically, light doesn't experience time as such, so your question kinda doesn't make sense as written.

I'm glossing over details here, but if I'm wrong I would love to learn why from somebody with more knowledge!