Question

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

score 49 · Answer 1 · 2026-04-13 01:17:20

49

Views

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

Published on 13 Apr 2026 - 1:17

score 386 · Answer 2 · 2026-04-15 22:20:57

386

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 15 Apr 2026 - 22:20

score 297 · Answer 3 · 2026-04-14 13:04:43

297

Views

the solutions are quadratic nonresidues modulo $p$

Published on 14 Apr 2026 - 13:04

score 136 · Answer 4 · 2026-04-15 23:12:17

136

Views

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

Published on 15 Apr 2026 - 23:12

score 102 · Answer 5 · 2026-04-13 04:45:07

102

Views

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

Published on 13 Apr 2026 - 4:45

score 1.6k · Answer 6 · 2026-05-10 15:00:38

1.6k

Views

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

Published on 10 May 2026 - 15:00

score 194 · Answer 7 · 2026-04-12 03:39:15

194

Views

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

Published on 12 Apr 2026 - 3:39

score 754 · Answer 8 · 2026-04-12 16:51:32

754

Views

Basics of Quadratic Sieve algorithm

Published on 12 Apr 2026 - 16:51

score 174 · Answer 9 · 2026-04-13 06:06:02

174

Views

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

Published on 13 Apr 2026 - 6:06

score 246 · Answer 10 · 2026-05-10 13:51:09

246

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 10 May 2026 - 13:51

score 1.7k · Answer 11 · 2026-04-11 13:06:27

1.7k

Views

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

Published on 11 Apr 2026 - 13:06

score 121 · Answer 12 · 2026-04-15 00:37:18

121

Views

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

Published on 15 Apr 2026 - 0:37

score 74 · Answer 13 · 2026-04-14 19:50:01

74

Views

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

Published on 14 Apr 2026 - 19:50

score 530 · Answer 14 · 2026-04-16 16:57:52

530

Views

Legendre symbol $ p ≡ 5 \mod 8$

Published on 16 Apr 2026 - 16:57

score 150 · Answer 15 · 2026-04-11 23:02:42

150

Views

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

Published on 11 Apr 2026 - 23:02

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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