finding all finite fields making $x^2+x+1$ irreducible
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
90612
Show that $9+9x+3x^3+6x^4+3x^5+x^6$ is irreducible given one of its roots
81377
Show that $x^n + x + 3$ is irreducible for all $n \geq 2.$
100573
Show that $x^4-10x^2+1$ is irreducible over $\mathbb{Q}$
76017
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
86174
Finding an isomorphism between these two finite fields
60816
Irreducibility of special cyclotomic polynomial.
70249
Irreducibility of Polynomials in $k[x,y]$
95692
Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field
46795
Explicit construction of a finite field with $p^n$ elements
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
10548
The equation $-1 = x^2 + y^2$ in finite fields
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
73412
Splitting field of $x^6+x^3+1$ over $\mathbb{Q}$
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.
64878
Is this polynomial irreducible in $\mathbb{Q}$?