New posts in Gaussian Integers

Proving that a Gaussian integer $a+bi$ with $a,b\neq0$ is composite in $\mathbb{Z}[i]$ if its norm $a^2+b^2$ is composite in $\mathbb{N}$?

if $a+bi$ is prime, $a- bi$ is also prime (Gauss integers) (irreducible)

Where is wrong with this fake proof that Gaussian integer is a field?

Exercise about primes in the ring of Gaussian integers

Solve in $\mathbb{Z}$ the equation $x^4 + 1 = 2y^2$.

Any odd number is of form $a+b$ where $a^2+b^2$ is prime

A few questions on the Gaussian integers

Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$

Prove that the Gaussian Integer's ring is a Euclidean domain

Equivalence of two characterizations of the norm of a quadratic integer.