List questions from quadratic-residues

Published on 11 Nov 2019 - 14:07

113

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Wilson's Theorem Lemma

Published on 13 Nov 2019 - 0:54

48

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Find the values in the diophantine equation

Published on 21 Nov 2019 - 17:04

156

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For which integer values of $n$ does there exist an integer $m$ such that $n^{3} - m^{2} = -23$?

Published on 29 Nov 2019 - 5:18

50

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Is there any known configuration of primes through $n$ which covers $n^2$?

Published on 25 Mar 2026 - 17:20

63

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Finding all quadratic residues $\pmod{n}$ in sublinear time?

Published on 16 Dec 2019 - 16:31

55

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When or how can basic sieve failures occur, if ever?

Published on 25 Mar 2026 - 9:33

88

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Triples $(p,q,r)$ of primes satisfying the quadratic residue relation $\left(\frac{p}{q}\right)\cdot\left(\frac{q}{r}\right)=\left(\frac{p}{r}\right)$

Published on 21 Dec 2019 - 12:37

1.4k

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Why does $x^2 \equiv 2 \pmod{5}$ have no solution?

Published on 23 Dec 2019 - 16:47

3.3k

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What is the intuition behind the law of quadratic reciprocity?

Published on 25 Mar 2026 - 9:39

211

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For which primes $p$ is $-1$ not the sum of two non-zero quadratic residues?

Published on 29 Feb 2020 - 13:23

722

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The product of both quadratic residues and non residues in a residue system modulo prime p

Published on 25 Mar 2026 - 7:45

49

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Definition of quadratic residues in $\mathbb{F}_q$, where $q = p^n$.

Published on 16 Mar 2020 - 18:52

37

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Quadratic residue of composite numbers

Published on 25 Mar 2026 - 23:08

380

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Square roots in $\mathbb Z_p$

Published on 25 Mar 2026 - 1:14

List Question

Randomness of Quadratic Residues

Wilson's Theorem Lemma

Find the values in the diophantine equation

For which integer values of $n$ does there exist an integer $m$ such that $n^{3} - m^{2} = -23$?

Is there any known configuration of primes through $n$ which covers $n^2$?

Finding all quadratic residues $\pmod{n}$ in sublinear time?

When or how can basic sieve failures occur, if ever?

Triples $(p,q,r)$ of primes satisfying the quadratic residue relation $\left(\frac{p}{q}\right)\cdot\left(\frac{q}{r}\right)=\left(\frac{p}{r}\right)$

Why does $x^2 \equiv 2 \pmod{5}$ have no solution?

What is the intuition behind the law of quadratic reciprocity?

For which primes $p$ is $-1$ not the sum of two non-zero quadratic residues?

The product of both quadratic residues and non residues in a residue system modulo prime p

Definition of quadratic residues in $\mathbb{F}_q$, where $q = p^n$.

Quadratic residue of composite numbers

Square roots in $\mathbb Z_p$

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