List questions from congruence-relations

646

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Prove that if $n\neq 2 \pmod 4$ then there exists a primitive Pythagorean triple $(x,y,z)$ in which $x$ or $y$ equals $n$

Published on 29 Mar 2016 - 16:14

488

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solve $x^2 -4x +13 \equiv 0 \pmod{81}$?

Published on 23 Feb 2026 - 11:38

21

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Question regarding congruence notation

Published on 17 Apr 2016 - 20:25

1.8k

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$5$ is quadratic residue mod $p$ if and only if $ p\equiv \pm 1, \pm 9 \pmod {20}$

Published on 06 Jun 2016 - 0:14

982

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What does "induced operations" means in congruence operations

Published on 08 Jun 2016 - 20:41

545

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Equality of polynomial functions modulo n

Published on 23 Feb 2026 - 11:36

47

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If $x + y \sim x$ in a commutative monoid, does this imply $y \sim 0$?

Published on 05 Jul 2016 - 12:56

472

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$\mathbf{N}_5$ as a congruence lattice

Published on 09 Jan 2014 - 17:35

233

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Subdirect embedding of a quotient algebra

Published on 10 Feb 2014 - 16:39

1k

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What are the properties of congruent classes over symmetric matrices?

Published on 23 Feb 2026 - 3:00

281

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congruence mod m application

Published on 12 Apr 2017 - 3:55

41

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Prove that $mc = mb + 8k \implies c=b+8k$ in congruence

Published on 15 Apr 2017 - 16:06

152

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Find the last three digits of $383^{101}$

Published on 19 Apr 2017 - 21:28

173

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How do I find the period of repetition of this modular equation?

Published on 08 May 2017 - 13:29

104

Views

Showing $p \mid 16x^4 + 1 \implies p \equiv 1 \pmod 4$

Published on 08 May 2017 - 16:26

List Question

Prove that if $n\neq 2 \pmod 4$ then there exists a primitive Pythagorean triple $(x,y,z)$ in which $x$ or $y$ equals $n$

solve $x^2 -4x +13 \equiv 0 \pmod{81}$?

Question regarding congruence notation

$5$ is quadratic residue mod $p$ if and only if $ p\equiv \pm 1, \pm 9 \pmod {20}$

What does "induced operations" means in congruence operations

Equality of polynomial functions modulo n

If $x + y \sim x$ in a commutative monoid, does this imply $y \sim 0$?

$\mathbf{N}_5$ as a congruence lattice

Subdirect embedding of a quotient algebra

What are the properties of congruent classes over symmetric matrices?

congruence mod m application

Prove that $mc = mb + 8k \implies c=b+8k$ in congruence

Find the last three digits of $383^{101}$

How do I find the period of repetition of this modular equation?

Showing $p \mid 16x^4 + 1 \implies p \equiv 1 \pmod 4$

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