GF(2) 
Here are tables of irreducible and primitive polynomials over binary field GF(2).

GF(3) 
Here are tables of irreducible polynomials over ternary field GF(3).

GF(5) 
Here are tables of irreducible polynomials over field GF(5).

GF(7) 
Here are tables of primitive polynomials over field GF(7).

GF(p) 
Thanks to Malcolm Greig, here is a table of primitive polynomials for building GF(p^{n}) for all p^{n} up to 2^{30}, with n > 1.

PIPS 
In order to present ZEN functionnalities, I have created a server that computes irreducible and primitive polynomials on demand.
