How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
57884
Number of monic irreducible polynomials of prime degree $p$ over finite fields
114762
Prove that $f(x)$ is irreducible iff its reciprocal polynomial $f^*(x)$ is irreducible.
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
1799
How many k-dimensional subspaces there are in n-dimensional vector space over $\mathbb F_p$?
155962
Are there irreducible polynomials that are partially solvable by radicals?
34387
Is the number of irreducibles in any number field infinite?
31215
Irreducible cyclotomic polynomial
134726
Show the polynomial is irreducible in $\textbf Z_2$
17670
If $p\in R[X_1,\dots,X_n]$ is irreducible, is it still irreducible in $R[X_1,\dots,X_n,\dots,X_N]$?
141983
Complex polynomial of degree $n$
133101
Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial
79564
Algorithm to find the irreducible polynomial
118950
Irreducibility criteria for polynomials with several variables.
140808
Problem on Galois theory and irreducible polynomial
63605
Irreducible polynomials and affine variety