Let p be a prime number. Find a formula, in terms of p only, for the number of all

irreducible polynomials of degree 20 in Zp[x]

I think means that we are looking for the number of Galois fields, this number is

$\displaystyle \frac{1}{d}\sum_{d|m}\mu(\frac{d}{m})p^m$

where here d = 20, and $\displaystyle \mu$ is the Mobius Function

but does this mean?

and how does it help?