# Math Help - Primitive Root problem

1. ## Primitive Root problem

The problem is,

Suppose that p is an odd prime. Let n=p^82. Let b be a primitive root mod p. suppose that b^(p-1)=1+573p^3. find a primitive root c mod n.

I'm not quite sure where to start with this problem. Am I supposed to figure out p first, and if so how would i start to do that?