List questions from legendre-symbol

Published on 14 Dec 2018 - 11:39

933

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Can a number be a quadratic residue modulo all prime that do not divide it

Published on 30 Dec 2018 - 0:35

42

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Legendre's proof involving linearity independence

Published on 18 Jan 2019 - 13:34

93

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Is there integer $x$ such that $79|7x^2+4x-23$

Published on 25 Jan 2019 - 14:57

345

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Solution to a system of quadratic congruences.

Published on 07 Feb 2019 - 3:03

209

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Legendre symbols and primitive roots modulo $p$

Published on 11 Feb 2019 - 20:16

82

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Factoring out Kloosterman Sum

Published on 25 Mar 2026 - 0:47

124

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Exercise on Gauss sums

Published on 26 Feb 2019 - 6:56

53

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The sum $\sum_{r=1}^{p-1} r(r|p)$ when $p$ is an odd prime of the form $4k+3$, $k\geq 1$.

Published on 08 Mar 2019 - 8:39

133

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Legendre Symbol: show that $\left(\frac{-3}p\right)=\left(\frac p3\right)$

Published on 10 Mar 2019 - 3:07

25

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Which of these congruences have solutions?

Published on 13 Apr 2019 - 13:07

208

Views

Polynomial evaluates to quadratic residue in $p$ cases

Published on 27 Apr 2019 - 17:06

73

Views

Legendre Transforms

Published on 24 Mar 2026 - 21:40

766

Views

Prove a property of Legendre symbol

Published on 12 May 2019 - 5:53

72

Views

A contradiction in calculating the legendre symbol

Published on 13 May 2019 - 13:46

List Question

$x^2 \equiv -2,2 \pmod {122}$

Can a number be a quadratic residue modulo all prime that do not divide it

Legendre's proof involving linearity independence

Is there integer $x$ such that $79|7x^2+4x-23$

Solution to a system of quadratic congruences.

Legendre symbols and primitive roots modulo $p$

Factoring out Kloosterman Sum

Exercise on Gauss sums

The sum $\sum_{r=1}^{p-1} r(r|p)$ when $p$ is an odd prime of the form $4k+3$, $k\geq 1$.

Legendre Symbol: show that $\left(\frac{-3}p\right)=\left(\frac p3\right)$

Which of these congruences have solutions?

Polynomial evaluates to quadratic residue in $p$ cases

Legendre Transforms

Prove a property of Legendre symbol

A contradiction in calculating the legendre symbol

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