List questions from quadratic-residues

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Number of solutions to a "quadratic equation"

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Problem regarding Gauss's Lemma

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Finding solutions to $h(j)=15+j^2 \mod 17, j \in \mathbb{N}$

Published on 21 Jan 2015 - 20:38

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Solutions $n^2 = -1 \mod (p_n-1)$

Published on 23 Jan 2015 - 22:53

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$x^2+3$ has two zeros over ${\Bbb F}_p$ provided that $x^2+x+1\in{\Bbb F}_p[x]$ has two?

Published on 28 Jan 2015 - 18:11

231

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Existence of solution to Congruence relation $(x^2-2)(x^2-6)(x^2-3) \equiv 0\pmod p$

Published on 29 Jan 2015 - 11:42

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If $x$ is a square modulo two primes, then it is a square modulo their product

Published on 29 Jan 2015 - 13:41

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For which prime numbers $p$ does the congruence $x^2 + x + 1 \equiv 0 \pmod{p}$ have solutions?

Published on 31 Jan 2015 - 17:12

734

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The primitive root of modulo 109

Published on 03 Feb 2015 - 22:30

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If $p \equiv 1 \pmod{N!}$ prove there are no primitive roots $\pmod p$, $g$, that are less than $N$

Published on 11 Feb 2015 - 5:49

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Solving x^4=a mod p, given a is a quadratic residue

Published on 11 Feb 2015 - 11:16

55

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$q \equiv 2 (\mod 3)$ be a prime , then does there exist non-zero integers $a,b,c$ such that $a^2+ab+b^2=qc^2$ ?

Published on 11 Feb 2015 - 14:32

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How to find all the Quadratic residue of $x$?

Published on 12 Feb 2015 - 15:00

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How to find all the Quadratic residues modulo $p$

Published on 12 Feb 2015 - 17:39

List Question

There exists $a$ s.t the 2 equations both have integer solutions.

Number of solutions to a "quadratic equation"

Problem regarding Gauss's Lemma

Finding solutions to $h(j)=15+j^2 \mod 17, j \in \mathbb{N}$

Solutions $n^2 = -1 \mod (p_n-1)$

$x^2+3$ has two zeros over ${\Bbb F}_p$ provided that $x^2+x+1\in{\Bbb F}_p[x]$ has two?

Existence of solution to Congruence relation $(x^2-2)(x^2-6)(x^2-3) \equiv 0\pmod p$

If $x$ is a square modulo two primes, then it is a square modulo their product

For which prime numbers $p$ does the congruence $x^2 + x + 1 \equiv 0 \pmod{p}$ have solutions?

The primitive root of modulo 109

If $p \equiv 1 \pmod{N!}$ prove there are no primitive roots $\pmod p$, $g$, that are less than $N$

Solving x^4=a mod p, given a is a quadratic residue

$q \equiv 2 (\mod 3)$ be a prime , then does there exist non-zero integers $a,b,c$ such that $a^2+ab+b^2=qc^2$ ?

How to find all the Quadratic residue of $x$?

How to find all the Quadratic residues modulo $p$

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