List questions from quadratic-residues

Published on 26 Mar 2026 - 4:52

43

Views

If $3x^2\equiv1\bmod p$ then 3 is a quadratic residue

Published on 07 May 2017 - 15:35

121

Views

$p\equiv\pm1\pmod8\to$ 2 not a quadratic residue

Published on 07 May 2017 - 21:33

43

Views

the polynomials $g_Q(x)$ and $g_N(x)$ belong to $\mathbb{F}_l[x].$

Published on 09 May 2017 - 1:19

73

Views

The solution of congruences system.

Published on 10 May 2017 - 5:07

40

Views

$\{ax^2 + by^2 | x,y \in \mathbb{Z}_p\} = \mathbb{Z}$

Published on 13 May 2017 - 11:58

84

Views

A quadratic residue question

Published on 28 May 2017 - 17:04

37

Views

How do I prove that if $n$ is a quadratic residue of $m > 2$ then $n^{\varphi(m)/2}\equiv 1 \pmod{m}$

Published on 30 May 2017 - 0:43

141

Views

Show $c=rp^a$ is a quadratic residue modulo odd prime power $p^n$

Published on 01 Jun 2017 - 10:13

75

Views

Why does this result only apply to primes congruent 3 mod 4?

Published on 03 Jun 2017 - 22:07

147

Views

Finding the square roots of $1$ modulo $52$ and $9$ modulo $52$.

Published on 04 Jun 2017 - 19:09

127

Views

Prove that each divisor of $5^{(4n+1)}+5^{(3n+1)}+1 =$ $1 \pmod {10}$

Published on 17 Jun 2017 - 16:47

1.1k

Views

Quadratic residues in finite field

Published on 26 Mar 2026 - 3:11

106

Views

question about jacobi sums and equation $x^n+y^n=1$

Published on 25 Jun 2017 - 17:44

136

Views

Prove the set $\{0^2 \bmod p, 1^2 \bmod p, \dotsc, ((p-1)/2)^2 \bmod p\}$ consists of $(p+1)/2$ distinct elements.

Published on 02 Jul 2017 - 4:00

List Question

For which primes $p$ is $-3\in Q_p$?

If $3x^2\equiv1\bmod p$ then 3 is a quadratic residue

$p\equiv\pm1\pmod8\to$ 2 not a quadratic residue

the polynomials $g_Q(x)$ and $g_N(x)$ belong to $\mathbb{F}_l[x].$

The solution of congruences system.

$\{ax^2 + by^2 | x,y \in \mathbb{Z}_p\} = \mathbb{Z}$

A quadratic residue question

How do I prove that if $n$ is a quadratic residue of $m > 2$ then $n^{\varphi(m)/2}\equiv 1 \pmod{m}$

Show $c=rp^a$ is a quadratic residue modulo odd prime power $p^n$

Why does this result only apply to primes congruent 3 mod 4?

Finding the square roots of $1$ modulo $52$ and $9$ modulo $52$.

Prove that each divisor of $5^{(4n+1)}+5^{(3n+1)}+1 =$ $1 \pmod {10}$

Quadratic residues in finite field

question about jacobi sums and equation $x^n+y^n=1$

Prove the set $\{0^2 \bmod p, 1^2 \bmod p, \dotsc, ((p-1)/2)^2 \bmod p\}$ consists of $(p+1)/2$ distinct elements.

Trending Questions

Popular # Hahtags

Popular Questions