Does each irreducible polynomial over the integers represent at least one prime?
38209
How often must an irreducible polynomial take a prime value?
40994
How to check that a cubic polynomial is irreducible?
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
120627
Reducibility of polynomials modulo p
114480
Example of a domain where all irreducibles are primes and that is not a GCD domain
70537
Irreducible polynomials have distinct roots?
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
140497
Irreducibles are prime in a UFD
70523
Proving that $x^4 - 10x^2 + 1$ is not irreducible over $\mathbb{Z}_p$ for any prime $p$.
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
86038
Family of irreducible polynomials
73702
What are examples of irreducible but not prime elements?
116049
Every irreducible Polynomial is primitive or irreducible constant
344
Prove that if $p\in \mathbb{Z}$ is irreducible, then it is also prime.