Irreducible polynomial and primes
95692
Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field
114480
Example of a domain where all irreducibles are primes and that is not a GCD domain
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
101637
Let $R$ be an integral domain. If $x \in R$ is prime, then $x$ is irreducible.
154360
Show $f$ can't be irreducible over a finite field if $f^\prime$ is the zero polynomial.
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
41693
Use irreducible fibers to show $X$ is irreducible
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
53012
Irreducibility of a polynomial if it has no root (Capelli)
114762
Prove that $f(x)$ is irreducible iff its reciprocal polynomial $f^*(x)$ is irreducible.
121479
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
120627
Reducibility of polynomials modulo p
21862
Proof of lack of pure prime producing polynomials.
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
70537
Irreducible polynomials have distinct roots?
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$