List questions from gaussian-integers | MathQA

What is the prime factorization $6+12i \in \Bbb Z[i]$?

Published on 09 Aug 2022 - 20:36

Finding three perfect complex powers with equal norm and cancelling imaginary parts

Published on 19 Aug 2022 - 1:39

Determine the ideal $\langle 2i \rangle$ of the Gaussian integers $\Bbb Z[i]$. Describe the quotient $\Bbb Z[i]/\langle 2i\rangle$.

Published on 22 Aug 2022 - 9:23

NOT a maximal ideal of the ring of Gaussian integers

Published on 23 Sep 2022 - 7:17

Is there an effective way to decompose gaussian integers into prime factors?

Published on 03 Oct 2022 - 16:19

Prove that the incomplete quotient and the remainder at division in $\mathbb {Z} [i]$ are defined ambiguously.

Published on 26 Nov 2022 - 23:07

What is the motivation behind the concept of definition of Gaussian prime numbers?

Published on 28 Dec 2022 - 6:22

Number of ring homomorphisms

Published on 04 Jan 2023 - 13:23

Let $p\in\mathbb{N}$ be prime. Prove that p is irreducible in $\mathbb{Z}[i]$ if and only if $p\equiv3$ $(mod$ $4)$.

Published on 05 Jan 2023 - 17:25

Why do the Gaussian rationals make these patterns?

Published on 25 Mar 2026 - 19:51

Quadratic Sieve on the Gaussian Integers

Published on 14 Jan 2023 - 6:52