List questions from quadratic-residues

Published on 24 Oct 2016 - 4:12

2.3k

Views

Prove that The product of a quadratic residue and a quadratic nonresidue of an odd prime p is a quadratic nonresidue.

Published on 24 Oct 2016 - 5:37

122

Views

Prove that $a^2$ when divided by $5$ cannot have a remainder of $3$.

Published on 27 Oct 2016 - 6:31

134

Views

Show that x is a quadratic (non-)residue (mod p) if p ≡ ... (mod y)

Published on 25 Mar 2026 - 17:40

2.2k

Views

Find all primes $p$ so that 3 is a quadratic nonresidue modulo $p$

Published on 25 Mar 2026 - 12:51

355

Views

Let $a$ be a quadratic residue $\mod{43}$

Published on 04 Nov 2016 - 9:44

618

Views

Chinese remainder theorem for quadratic equation

Published on 05 Nov 2016 - 16:49

156

Views

When is $-2$ a quadratic residue in a finite field?

Published on 09 Nov 2016 - 14:38

288

Views

A congruence for the product of quadratic residues + the product of quadratic non-residues

Published on 15 Nov 2016 - 22:14

66

Views

Number of quadratic residues in the set of $k^2-4$'s

Published on 21 Nov 2016 - 8:37

1k

Views

Find all primes $p$ such that $x^2 \equiv 13 \pmod p$

Published on 27 Nov 2016 - 14:47

285

Views

Quadratic congruence, given p is an odd prime, how to prove $\left(\frac{a}{p}\right) \equiv a^{(p-1)/2}$ (mod $p$)

Published on 29 Nov 2016 - 1:49

31

Views

On quadratic residues.

Published on 30 Nov 2016 - 3:17

870

Views

Multiplication of quadratic residues

Published on 15 Dec 2016 - 0:02

1.3k

Views

Quadratic residue p-1 modulo p for p primes

Published on 20 Dec 2016 - 8:28

List Question

Every primitive root modulo an odd prime is a quadratic nonresidue

Prove that The product of a quadratic residue and a quadratic nonresidue of an odd prime p is a quadratic nonresidue.

Prove that $a^2$ when divided by $5$ cannot have a remainder of $3$.

Show that x is a quadratic (non-)residue (mod p) if p ≡ ... (mod y)

Find all primes $p$ so that 3 is a quadratic nonresidue modulo $p$

Let $a$ be a quadratic residue $\mod{43}$

Chinese remainder theorem for quadratic equation

When is $-2$ a quadratic residue in a finite field?

A congruence for the product of quadratic residues + the product of quadratic non-residues

Number of quadratic residues in the set of $k^2-4$'s

Find all primes $p$ such that $x^2 \equiv 13 \pmod p$

Quadratic congruence, given p is an odd prime, how to prove $\left(\frac{a}{p}\right) \equiv a^{(p-1)/2}$ (mod $p$)

On quadratic residues.

Multiplication of quadratic residues

Quadratic residue p-1 modulo p for p primes

Trending Questions

Popular # Hahtags

Popular Questions