Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
91356
Irreducibility of an infinite sequence of polynomials
83753
Why $\,p \cdot (p^{-1} \mod q) + q \cdot (q^{-1} \mod p) = pq + 1$?
127205
Explain proof of irreducibility of $x^{p-1} + 2x^{p-2}+ \dots +(p-1)x + p$
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
11962
Irreducibility check for polynomials not satisfying Eisenstein Criterion.
93948
Is my proof correct? $p_1p_2p_3\cdots p_n+1)$ cannot be the square of an integer
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible
127310
Suppose $\gcd(\deg(f),\deg (g))=1$. Show that $g(x)$ is irreducible in $k(\alpha)[X]$.
35959
irreducibility of a polynomial over $\mathbb{F}_2$
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
54192
Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$
13478
Prove that if $a^p-b^p$ is divisible by $p$, then it is also divisible by $p^2$
119152
Proving irreducibility of $x^6-72$
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
53012
Irreducibility of a polynomial if it has no root (Capelli)