List questions from quadratic-reciprocity

Published on 14 Apr 2026 - 8:22

323

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

Published on 09 Apr 2026 - 22:35

364

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

Published on 04 May 2026 - 19:39

3.4k

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

Published on 27 Apr 2026 - 20:55

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 Apr 2026 - 1:05

24

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

Published on 25 Mar 2026 - 22:26

231

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

Published on 13 Apr 2026 - 16:59

149

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

Published on 16 Apr 2026 - 16:10

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 25 Mar 2026 - 23:58

370

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

Published on 25 Mar 2026 - 22:25

131

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Help solving a question using Quadratic Reciprocity?

Published on 13 Apr 2026 - 17:45

63

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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 25 Mar 2026 - 23:58

1.2k

Views

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

Published on 25 Mar 2026 - 22:23

250

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

Published on 17 Apr 2026 - 19:49

122

Views

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

Published on 25 Mar 2026 - 22:26

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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