List questions from quadratic-residues

Published on 04 Mar 2014 - 9:36

252

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Prove that S consists of the quadratic residues mod (p) and T consists of the quadratic non-residues mod (p)

Published on 26 Mar 2026 - 3:13

1.6k

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How is 4 a quadratic residue of 7?

Published on 05 Mar 2014 - 13:55

430

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If $p\mid (3^n+1)$, then $p\equiv 1\pmod{3}$

Published on 26 Mar 2026 - 3:11

29

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Find the number of solutions of $x²=a$ in $\mathbb{Z_{11}}$ with $a \in \mathbb{Z_{11}} $

Published on 16 Apr 2017 - 0:27

53

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$-1$ is a quadratic residue modulo $8n+2$; what can be stated about $n$?

Published on 23 Feb 2026 - 4:40

85

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Showing every interval of length $c\sqrt p$ contains a quadratic residue

Published on 24 Apr 2017 - 15:23

41

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Prove that $0,(m \pmod n)),(2m \pmod n)),...,((n-1)m \pmod n))$ is a permutation of $0,1,2,...,n-1$

Published on 24 Apr 2017 - 21:25

356

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Jacobi and Legendre Symbol

Published on 26 Apr 2017 - 8:23

194

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Quadratic Residues Mod p

Published on 26 Apr 2017 - 20:29

180

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Quadratic Residues and the Quadratic Equations

Published on 26 Apr 2017 - 21:12

111

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The $p$-adic valuation of $u^2+1$

Published on 27 Apr 2017 - 7:01

579

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Solving the Diophantine Equation $ax^2 + bx + c = dy^2 + ey + f$?

Published on 28 Mar 2026 - 6:40

1.5k

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number of quadratic residues and nonresidues modulo p odd prime

Published on 03 May 2017 - 14:50

606

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Cubic Residues mod p

Published on 04 May 2017 - 18:59

List Question

$x_i=x_{i-1}^2+a\pmod{N}$ with $N$ a composite number.

Prove that S consists of the quadratic residues mod (p) and T consists of the quadratic non-residues mod (p)

How is 4 a quadratic residue of 7?

If $p\mid (3^n+1)$, then $p\equiv 1\pmod{3}$

Find the number of solutions of $x²=a$ in $\mathbb{Z_{11}}$ with $a \in \mathbb{Z_{11}} $

$-1$ is a quadratic residue modulo $8n+2$; what can be stated about $n$?

Showing every interval of length $c\sqrt p$ contains a quadratic residue

Prove that $0,(m \pmod n)),(2m \pmod n)),...,((n-1)m \pmod n))$ is a permutation of $0,1,2,...,n-1$

Jacobi and Legendre Symbol

Quadratic Residues Mod p

Quadratic Residues and the Quadratic Equations

The $p$-adic valuation of $u^2+1$

Solving the Diophantine Equation $ax^2 + bx + c = dy^2 + ey + f$?

number of quadratic residues and nonresidues modulo p odd prime

Cubic Residues mod p

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