Prove non-constant, irreducible polynomials are primitive
116049
Every irreducible Polynomial is primitive or irreducible constant
141792
Slick proof the determinant is an irreducible polynomial
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
40994
How to check that a cubic polynomial is irreducible?
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
63605
Irreducible polynomials and affine variety
53012
Irreducibility of a polynomial if it has no root (Capelli)
38209
How often must an irreducible polynomial take a prime value?
111935
Irreducible but not prime
140808
Problem on Galois theory and irreducible polynomial
11962
Irreducibility check for polynomials not satisfying Eisenstein Criterion.
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
64878
Is this polynomial irreducible in $\mathbb{Q}$?
114762
Prove that $f(x)$ is irreducible iff its reciprocal polynomial $f^*(x)$ is irreducible.
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
104484
Prove that $r$ is a primitive root modulo $p$ if and only if $r^{(p−1)/q}\not\equiv 1\pmod{p}$