Irreducible polynomials in GF(p)
16592
Irreducible polynomial which is reducible modulo every prime
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
60816
Irreducibility of special cyclotomic polynomial.
104782
Polynomial irreducible - maximal ideal
106914
Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree
140808
Problem on Galois theory and irreducible polynomial
116049
Every irreducible Polynomial is primitive or irreducible constant
17670
If $p\in R[X_1,\dots,X_n]$ is irreducible, is it still irreducible in $R[X_1,\dots,X_n,\dots,X_N]$?
54192
Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$
46891
Irreducibility of reciprocal polynomials
65558
Irreducible in $\mathbb{Z}[\sqrt{-5}]$
137233
$f$ is irreducible $\iff$ $G$ act transitively on the roots
132572
Why this polynomial is irreducible?
118950
Irreducibility criteria for polynomials with several variables.
73344
Definition of irreducible polynomial via the units of an integral domain.
121301
What are the roots of an irreducible $p\in F[X]$ in the field extension $F[X]/\langle p\rangle$?
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$