List questions from quadratic-residues

Published on 16 May 2016 - 13:22

239

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Proof Involving Legendre Symbol and Quadratic Residue Multiplication

Published on 26 Mar 2026 - 11:17

104

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Does $p=x^2+4y^2$ imply that $x$ is a quadratic residue mod $p$?

Published on 25 May 2016 - 15:53

122

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Is there a general method to solve diophantine equations of the form $x^2+Ay=C$

Published on 25 Mar 2026 - 22:26

283

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In $GF(q)$, are there the same number of quadratic residues as quadratic nonresidues?

Published on 27 May 2016 - 0:13

117

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By evaluating $\sum_{t} (1+(t/p))\zeta^t$ in two ways, prove $g=\sum_{t} \zeta^{t^2}$

Published on 28 May 2016 - 12:21

80

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Does $x^2+1$ have roots in $Z_{103}[x]$?

Published on 29 May 2016 - 10:13

1k

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How do you solve $x^2 - 4 \equiv 0 \mod 21$

Published on 29 May 2016 - 10:38

984

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Legendre symbol $(-11/p)$

Published on 26 Mar 2026 - 18:26

129

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Solvability of congruence.

Published on 04 Jun 2016 - 11:17

808

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-3 is quadratic residue if and only if $p \equiv 1,7 \pmod {12}$

Published on 05 Jun 2016 - 22:10

163

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Prove that $-2, -3, -5, -7$ are quadratic non-residues modulo p

Published on 06 Jun 2016 - 13:46

1.4k

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Quadratic equation solutions modulo prime p

Published on 11 Jun 2016 - 14:09

242

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Equation involving the Jacobi symbol: $\left( \frac {-6} p \right) = 1$?

Published on 23 Feb 2026 - 4:41

125

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Is there a formula for $(\frac{3}{p})$?

Published on 12 Jun 2016 - 2:18

List Question

Is there a theory of "sums-of-squares residues"?

Proof Involving Legendre Symbol and Quadratic Residue Multiplication

Does $p=x^2+4y^2$ imply that $x$ is a quadratic residue mod $p$?

Is there a general method to solve diophantine equations of the form $x^2+Ay=C$

In $GF(q)$, are there the same number of quadratic residues as quadratic nonresidues?

By evaluating $\sum_{t} (1+(t/p))\zeta^t$ in two ways, prove $g=\sum_{t} \zeta^{t^2}$

Does $x^2+1$ have roots in $Z_{103}[x]$?

How do you solve $x^2 - 4 \equiv 0 \mod 21$

Legendre symbol $(-11/p)$

Solvability of congruence.

-3 is quadratic residue if and only if $p \equiv 1,7 \pmod {12}$

Prove that $-2, -3, -5, -7$ are quadratic non-residues modulo p

Quadratic equation solutions modulo prime p

Equation involving the Jacobi symbol: $\left( \frac {-6} p \right) = 1$?

Is there a formula for $(\frac{3}{p})$?

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