Polynomial Irreducible in $\mathbb{F}_{2^i}$ for $i\leq{}6$
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
85459
$x^3+x+1$ irreducible over $\mathbb{F}_2$, $\theta$ root, compute powers of $\theta$
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
90612
Show that $9+9x+3x^3+6x^4+3x^5+x^6$ is irreducible given one of its roots
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
91356
Irreducibility of an infinite sequence of polynomials
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
41693
Use irreducible fibers to show $X$ is irreducible
137233
$f$ is irreducible $\iff$ $G$ act transitively on the roots
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
140808
Problem on Galois theory and irreducible polynomial
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
156671
Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
148909
Irreducible polynomials of degree 3 and 5