Question

Finding $p$-primes which a congruential modulo $p$ has a solution.

score 47 · Answer 1 · 2018-07-13 08:11:19

47

Views

Finding $p$-primes which a congruential modulo $p$ has a solution.

Published on 13 Jul 2018 - 8:11

score 383 · Answer 2 · 2018-07-26 17:50:57

383

Views

If $a$ is not square then there is a class $\mod 4a$ such that $a$ is a quadratic non-residue modulo any prime in that class.

Published on 26 Jul 2018 - 17:50

score 294 · Answer 3 · 2018-08-06 20:09:08

294

Views

the solutions are quadratic nonresidues modulo $p$

Published on 06 Aug 2018 - 20:09

score 133 · Answer 4 · 2018-08-08 04:13:51

133

Views

Solving a non-linear congruence for $f\in \mathbb{F}_5[x]$

Published on 08 Aug 2018 - 4:13

score 99 · Answer 5 · 2018-08-15 06:48:19

99

Views

Solutions to the equation $3m^2\equiv 1\pmod{p}$ where $p$ is some prime

Published on 15 Aug 2018 - 6:48

score 1.6k · Answer 6 · 2026-03-25 06:12:22

1.6k

Views

$-3$ is a quadratic residue iff $p \equiv 1 \pmod 3$

Published on 25 Mar 2026 - 6:12

score 191 · Answer 7 · 2018-09-14 15:10:21

191

Views

(Soft Question) Why does the Legendre Symbol apply only to odd primes

Published on 14 Sep 2018 - 15:10

score 752 · Answer 8 · 2026-03-25 22:30:09

752

Views

Basics of Quadratic Sieve algorithm

Published on 25 Mar 2026 - 22:30

score 171 · Answer 9 · 2018-09-16 08:15:34

171

Views

sum of quadratic residues for $p=8k+7$

Published on 16 Sep 2018 - 8:15

score 243 · Answer 10 · 2026-03-25 07:45:48

243

Views

Showing that $\sum_{x \in \mathbb{F}_p} \left(\frac{x^2-1}{p}\right) = -1$, where $\left(\frac{x}{p}\right)$ is the Legendre symbol

Published on 25 Mar 2026 - 7:45

score 1.7k · Answer 11 · 2018-10-16 14:46:40

1.7k

Views

How to prove "Unit digit of a square number"?

Published on 16 Oct 2018 - 14:46

score 118 · Answer 12 · 2018-10-19 18:19:07

118

Views

Prime factorization of very large integer with quadratic residue and its square roots

Published on 19 Oct 2018 - 18:19

score 71 · Answer 13 · 2018-10-29 17:07:07

71

Views

Let $p>11$ be a prime. Then there exists integer $a$ such that $a, a+1$ are quadratic residues modulo $p.$

Published on 29 Oct 2018 - 17:07

score 526 · Answer 14 · 2018-11-01 04:38:01

526

Views

Legendre symbol $ p ≡ 5 \mod 8$

Published on 01 Nov 2018 - 4:38

score 147 · Answer 15 · 2018-11-01 05:18:38

147

Views

How many elements in the natural system of representative of $5400$ are squares $\mod 5400$?

Published on 01 Nov 2018 - 5:18

List Question

Finding $p$-primes which a congruential modulo $p$ has a solution.

If $a$ is not square then there is a class $\mod 4a$ such that $a$ is a quadratic non-residue modulo any prime in that class.

the solutions are quadratic nonresidues modulo $p$

Solving a non-linear congruence for $f\in \mathbb{F}_5[x]$

Solutions to the equation $3m^2\equiv 1\pmod{p}$ where $p$ is some prime

$-3$ is a quadratic residue iff $p \equiv 1 \pmod 3$

(Soft Question) Why does the Legendre Symbol apply only to odd primes

Basics of Quadratic Sieve algorithm

sum of quadratic residues for $p=8k+7$

Showing that $\sum_{x \in \mathbb{F}_p} \left(\frac{x^2-1}{p}\right) = -1$, where $\left(\frac{x}{p}\right)$ is the Legendre symbol

How to prove "Unit digit of a square number"?

Prime factorization of very large integer with quadratic residue and its square roots

Let $p>11$ be a prime. Then there exists integer $a$ such that $a, a+1$ are quadratic residues modulo $p.$

Legendre symbol $ p ≡ 5 \mod 8$

How many elements in the natural system of representative of $5400$ are squares $\mod 5400$?

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