List questions from jacobi-symbol

Published on 22 Feb 2026 - 22:55

294

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Understanding a Jacobi Symbol Proof

Published on 24 Apr 2018 - 22:02

248

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$N$ square-free $\Rightarrow \exists a \in (\mathbb Z / N\mathbb Z)^{\times}, (\frac{a}{N}) = -1$

Published on 13 May 2018 - 16:38

203

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Sum of Jacobi symbol numerators

Published on 06 Jun 2018 - 4:03

220

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Jacobi symbol flipping and coprime

Published on 25 Jul 2018 - 8:33

78

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Jacobi symbol of sum of two squares

Published on 02 Aug 2018 - 8:08

41

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Help working out the following series on the euclidean grid.

Published on 08 Oct 2018 - 7:22

62

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Is it true that $(2k+1)(2^{4k+1}+(2k-1)^{4k+1})=a^2+(4k+1)b^2$ has no positive integer solution?

Published on 16 Oct 2018 - 7:31

73

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Factoring out Kloosterman Sum

Published on 22 Feb 2019 - 8:03

80

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Prove that if $a^{(n-1)/2}\equiv\pm1\pmod{n}$, then $\left(\frac{a}{n}\right)\equiv a^{(n-1)/2}\pmod{n}$

Published on 11 Apr 2019 - 20:14

64

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Generalization of Jacobi symbol for composite $n$

Published on 09 May 2019 - 2:48

179

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Quadratic Gauss Sum with Jacobi Symbol of even nonsquare free Modulus

Published on 10 Jun 2019 - 19:47

64

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Prove there exists $a$ such that $a^\frac{n-1}{2} \neq (\frac{a}{n}) (\text{mod } n)$

Published on 17 Jun 2019 - 22:21

48

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Jacobi symbol:$(\frac{7m^2-1}{18m^2+1})=(\frac{25m^2}{18m^2+1})=1$?

Published on 23 Jul 2019 - 0:47

35

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Consequences of Jacobi and Legendre Symbols

Published on 12 Sep 2019 - 7:14

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Legendre calculation passing through Jaccobi

Understanding a Jacobi Symbol Proof

$N$ square-free $\Rightarrow \exists a \in (\mathbb Z / N\mathbb Z)^{\times}, (\frac{a}{N}) = -1$

Sum of Jacobi symbol numerators

Jacobi symbol flipping and coprime

Jacobi symbol of sum of two squares

Help working out the following series on the euclidean grid.

Is it true that $(2k+1)(2^{4k+1}+(2k-1)^{4k+1})=a^2+(4k+1)b^2$ has no positive integer solution?

Factoring out Kloosterman Sum

Prove that if $a^{(n-1)/2}\equiv\pm1\pmod{n}$, then $\left(\frac{a}{n}\right)\equiv a^{(n-1)/2}\pmod{n}$

Generalization of Jacobi symbol for composite $n$

Quadratic Gauss Sum with Jacobi Symbol of even nonsquare free Modulus

Prove there exists $a$ such that $a^\frac{n-1}{2} \neq (\frac{a}{n}) (\text{mod } n)$

Jacobi symbol:$(\frac{7m^2-1}{18m^2+1})=(\frac{25m^2}{18m^2+1})=1$?

Consequences of Jacobi and Legendre Symbols

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