List questions from quadratic-reciprocity

Published on 07 Mar 2026 - 15:42

318

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Quadratic reciprocity: Tell if $c$ got quadratic square root mod $p$

Published on 07 Mar 2026 - 11:07

362

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Are there infinitely many pairs of primes, $p$ and $q$, such that $q = 4p + 1$?

Published on 21 Feb 2016 - 5:16

3.4k

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For what odd prime p is -3 a quadratic residues? Non-residue?

Published on 17 Mar 2016 - 0:43

1.1k

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Let p be an odd prime with $(a,p) = 1$ and $(\frac{a}{p})$ = 1. show that $x^2$ ≡ a (mod p)

Published on 17 Mar 2016 - 1:11

23

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Finding a prime in range with the largest minimal non quadratic residue

Published on 24 Mar 2016 - 4:13

228

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Calculate $(\frac{3}{11})$ in the following ways....

Published on 29 Mar 2016 - 19:02

147

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Determine the quadratic character of $293 \bmod 379$.

Published on 30 Mar 2016 - 21:59

1.5k

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If p is a prime with p > 5, then 5 is a quadratic residue modulo p if and only if the last decimal digit of p is 1 or 9.

Published on 09 Apr 2016 - 18:13

369

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Prove that a perfect square (also a perfect square backwards) is divisible by 121

Published on 11 Apr 2016 - 22:45

128

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Help solving a question using Quadratic Reciprocity?

Published on 13 Apr 2016 - 15:09

62

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let $q$ be a prime of the form $q=3r+1$ and assume that $p=4q+1$ is also a prime. Show that $3$ is a primitive root of $p$

Published on 22 Apr 2016 - 4:49

1.2k

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For which primes $p\not=2$ is $5$ a square mod $p$?

Published on 28 Apr 2016 - 17:57

247

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Prove that p is a quadratic residue mod $\frac{p^2+3p-2}{2}$

Published on 05 May 2016 - 9:46

121

Views

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

Published on 26 May 2016 - 22:45

List Question

Fermat's little theorem and Euler's criterion

Quadratic reciprocity: Tell if $c$ got quadratic square root mod $p$

Are there infinitely many pairs of primes, $p$ and $q$, such that $q = 4p + 1$?

For what odd prime p is -3 a quadratic residues? Non-residue?

Let p be an odd prime with $(a,p) = 1$ and $(\frac{a}{p})$ = 1. show that $x^2$ ≡ a (mod p)

Finding a prime in range with the largest minimal non quadratic residue

Calculate $(\frac{3}{11})$ in the following ways....

Determine the quadratic character of $293 \bmod 379$.

If p is a prime with p > 5, then 5 is a quadratic residue modulo p if and only if the last decimal digit of p is 1 or 9.

Prove that a perfect square (also a perfect square backwards) is divisible by 121

Help solving a question using Quadratic Reciprocity?

let $q$ be a prime of the form $q=3r+1$ and assume that $p=4q+1$ is also a prime. Show that $3$ is a primitive root of $p$

For which primes $p\not=2$ is $5$ a square mod $p$?

Prove that p is a quadratic residue mod $\frac{p^2+3p-2}{2}$

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

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