List questions from quadratic-reciprocity

Published on 25 Mar 2026 - 19:25

283

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What is the probability of having a quadratic residue?

Published on 13 Apr 2026 - 8:27

742

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Verifying quadratic reciprocity for the Jacobi symbol

Published on 25 Mar 2026 - 21:01

50

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Quadratic reciprocity in the case $a=-1$

Published on 25 Mar 2026 - 21:01

68

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Technological incompetence

Published on 15 Apr 2026 - 3:21

216

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Gauss' original proof of quadratic reciprocity

Published on 10 Apr 2026 - 23:25

59

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Missing link in proof of quadratic reciprocity law

Published on 13 Apr 2026 - 5:40

94

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verify if $8x^2 - 2x - 3 \equiv 0 \pmod{75}$ has solutions or not.

Published on 16 Apr 2026 - 2:51

140

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Prove that $\sum^{P}_{k=1} \lfloor\frac {ka}{p}\rfloor = \frac{p^{2} - 1}{8} + \mu(a,p)$ mod$(2)$

Published on 11 Apr 2026 - 22:41

360

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If $n\in\Bbb Z^+$ is not a square, prove exist infinitely many primes $p$ such that $\left(\frac{n}{p}\right)=-1$.

Published on 09 Apr 2026 - 8:18

163

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Let $p> 7$, prove that $\left(\frac{2}{q}\right) = (-1)^{\frac{q^2-1}{8}}$ with $q$ an odd prime

Published on 28 Oct 2015 - 22:33

276

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Irreducibility in a polynomial related to quadratic residues

Published on 06 Apr 2026 - 3:43

57

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Quadratic congruence with linear term

Published on 19 Apr 2026 - 7:59

444

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If $p>3$ and $x^2+3y^2=p$, prove $\left(\frac{-3}{p}\right)=1$ and $p\equiv 1\pmod{6}$.

Published on 30 Mar 2026 - 19:57

237

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Quadratic Reciprocity and Congruences

Published on 20 Apr 2026 - 9:28

List Question

Describe all odd primes p for which 7 is a quadratic residue

What is the probability of having a quadratic residue?

Verifying quadratic reciprocity for the Jacobi symbol

Quadratic reciprocity in the case $a=-1$

Technological incompetence

Gauss' original proof of quadratic reciprocity

Missing link in proof of quadratic reciprocity law

verify if $8x^2 - 2x - 3 \equiv 0 \pmod{75}$ has solutions or not.

Prove that $\sum^{P}_{k=1} \lfloor\frac {ka}{p}\rfloor = \frac{p^{2} - 1}{8} + \mu(a,p)$ mod$(2)$

If $n\in\Bbb Z^+$ is not a square, prove exist infinitely many primes $p$ such that $\left(\frac{n}{p}\right)=-1$.

Let $p> 7$, prove that $\left(\frac{2}{q}\right) = (-1)^{\frac{q^2-1}{8}}$ with $q$ an odd prime

Irreducibility in a polynomial related to quadratic residues

Quadratic congruence with linear term

If $p>3$ and $x^2+3y^2=p$, prove $\left(\frac{-3}{p}\right)=1$ and $p\equiv 1\pmod{6}$.

Quadratic Reciprocity and Congruences

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