Is $3 − 2i$ irreducible in $\mathbb Z[i]$?
44496
Norm $N$ on $\Bbb Z[\sqrt d]$ is multiplicative, $N(x)$ prime $\Rightarrow x$ irreducible
33781
Is $\mathbb{Z}[x]/(x^2+1)$ isomorphic to $\mathbb{Z}[i]$?
86807
The units of $\mathbb Z[\sqrt{2}]$
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$
124926
Are Hilbert primes also Hilbert irreducible ? Furthermore, are Hilbert primes also primes in $\mathbb{ Z}$?
141105
Show that there exists a $3 × 3$ invertible matrix $M$ with entries in $\mathbb{Z}/2\mathbb{Z}$ such that $M^7 = I_3$.
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
54192
Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$
138275
Show $100+t$ is reducible in $\mathbb{Z}[[t]]$
77209
Reducibility of $x^3+nx+1$ over $ \Bbb Z$
133019
Nilpotent elements in $\mathbb Z_n$
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
37068
How could it possible to factorise $x^8-1$ in product of irreducibles in the rings $(\mathbb{Z}/2\mathbb{Z})[x]$ and $(\mathbb{Z}/3\mathbb{Z})[x]$?
111935
Irreducible but not prime
108385
Irreducible factors of $x^8 - x$ in $Z/2Z[x]$
40114
Factor into irreducibles in $\mathbb{Z}[\omega]$ (Eisenstein Integers).
8434
Order of $\mathbb{Z}[i]/(1+i)$