Irreducible polynomial over rational numbers.
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
84355
Methods to see if a polynomial is irreducible
48093
Irreducible polynomial in field extension
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
14836
A polynomial sequence
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
10627
When is $X^n-a$ is irreducible over F?
120627
Reducibility of polynomials modulo p
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
78540
Every irreducible polynomial f over perfect field F is separable
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible