could you please tell me the primitive roots of 83, and 149.
also do you know a way to find out the number of primitive roots a number has, it doesn't necessarily have to tell me what they are
thanks
Once you find a primitive root, then you can find all other primitive roots by using this fact:
Let $\displaystyle g$ be a primitive root modulo $\displaystyle n$. Then $\displaystyle g^k$ is also a primitive root if and only if $\displaystyle \gcd(k, \phi (n)) = 1$.
So for 89, notice that 3 is a primitive root. Then $\displaystyle 3^k$ where $\displaystyle \gcd(k, \phi (89)) = 1$ occurs will give you another primitive root.
As for the number of primitive roots, all primes have $\displaystyle \phi (p-1)$ primitive roots.
Even more general, if some $\displaystyle n$ has primitive roots, then there are $\displaystyle \phi \left( \phi (n)\right)$ of them.