Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
93328
$\mathbb{F}_p[X]/(X^2+X+1)$ is a field iff $p \equiv 2 \bmod 3$
38209
How often must an irreducible polynomial take a prime value?
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
48093
Irreducible polynomial in field extension
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
4105
Irreducible but not prime in $\mathbb{Z}[\sqrt{-5}] $
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
64878
Is this polynomial irreducible in $\mathbb{Q}$?
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
121301
What are the roots of an irreducible $p\in F[X]$ in the field extension $F[X]/\langle p\rangle$?
38498
Find all primes $p$ such that $(2^{p-1}-1)/p$ is a perfect square
46821
Finding roots in $\mathbb{Z}_p$
139930
Find all polynomials $p$ such that $p(x^2)=p(x)p(x+1)$
97902
In a integral domain every prime element is irreducible
10266
Minimal polynomial reducible modulo every prime $p$
75528
$x^2-x+1$ has a root $\!\bmod p\,$ for infinitely many primes $p$
78549
Any prime is irreducible