List questions from quadratic-residues | MathQa

Does Gauss's Lemma hold for odd composite numbers?

Published on 13 Jan 2025 - 2:11

Quadratic extension. Decomposition of primes

Published on 13 Jan 2025 - 2:29

Calculating $\sqrt{-1}$

Published on 12 Jan 2025 - 17:18

If $(\frac {-1}{d}) = 1$, does it mean that $-1$ is a square in $\mathbb {Z}/d\mathbb{Z}$?

Published on 13 Jan 2025 - 2:34

If $n\in\Bbb Z^+$ is not a square, prove exist infinitely many primes $p$ such that $\left(\frac{n}{p}\right)=-1$.

Published on 13 Jan 2025 - 2:22

Legendre symbol $(-3/p)$ where $p = 1 \mod 3$

Published on 13 Jan 2025 - 2:35

Jacobi's Symbol

Published on 13 Jan 2025 - 2:28

$P$ is a prime number not equal to $2$ or $3$. Show that $p - 6$ is a quadratic residue $\pmod p$ whenever...

Published on 13 Jan 2025 - 2:20

Squares of $F_{467}$ and 7 as a quadratic residue of a prime mod that prime

Published on 28 Dec 2024 - 23:34

Reference for a Post about Gauss formula for primes written as sum of two squares?

Published on 12 Jan 2025 - 23:49