List questions from quadratic-residues

Published on 31 Jul 2014 - 22:01

176

Views

Predicting the Order of Quadratic Residues

Published on 26 Mar 2026 - 2:54

305

Views

Is there a short proof of the formula for Legendre symbol $(\frac{2}{p})=(-1)^{(p^2-1)/8}$?

Published on 31 Aug 2014 - 10:42

494

Views

Quadratic congruence $x^2+5x \equiv 12 \pmod{31} $

Published on 26 Mar 2026 - 4:31

40

Views

$ab$ is a quadratic residue modulo $c$, and $-ab$ is a QR modulo $c^{(p-1)/2}$

Published on 16 Sep 2014 - 2:22

1.7k

Views

number of quadratic residues in finite field

Published on 20 Sep 2014 - 16:27

336

Views

Prove that a sum of squares is a CSR modulo prime

Published on 30 Sep 2014 - 10:59

135

Views

Is $\sum_{p\text{ prime, } p \geq 2}\frac{(-1)^{\frac{p^2-1}{8}}}{p}$ convergent or divergent??

Published on 16 Oct 2014 - 19:08

645

Views

Is $7$ a Quadratic Residue mod 101?

Published on 26 Oct 2014 - 23:16

242

Views

Solving a quadratic congruence (mod p).

Published on 29 Oct 2014 - 20:03

3.3k

Views

Does $x^2 + x + 1 \equiv 0 \mod p$ have a solution?

Published on 30 Oct 2014 - 14:17

103

Views

Quadratic modulus

Published on 31 Oct 2014 - 20:17

1.9k

Views

If $a$ is a quadratic residue modulo every prime $p$, it is a square - without using quadratic reciprocity.

Published on 25 Mar 2026 - 9:38

490

Views

Group, QR, QNR, Product of distinct primes

Published on 09 Nov 2014 - 1:34

55

Views

Compute QNR whose Jacobi is 1

Published on 10 Nov 2014 - 3:00

List Question

Finding an $n$ such that $n^2 \equiv -1 \mod p$

Predicting the Order of Quadratic Residues

Is there a short proof of the formula for Legendre symbol $(\frac{2}{p})=(-1)^{(p^2-1)/8}$?

Quadratic congruence $x^2+5x \equiv 12 \pmod{31} $

$ab$ is a quadratic residue modulo $c$, and $-ab$ is a QR modulo $c^{(p-1)/2}$

number of quadratic residues in finite field

Prove that a sum of squares is a CSR modulo prime

Is $\sum_{p\text{ prime, } p \geq 2}\frac{(-1)^{\frac{p^2-1}{8}}}{p}$ convergent or divergent??

Is $7$ a Quadratic Residue mod 101?

Solving a quadratic congruence (mod p).

Does $x^2 + x + 1 \equiv 0 \mod p$ have a solution?

Quadratic modulus

If $a$ is a quadratic residue modulo every prime $p$, it is a square - without using quadratic reciprocity.

Group, QR, QNR, Product of distinct primes

Compute QNR whose Jacobi is 1

Trending Questions

Popular # Hahtags

Popular Questions