List questions from congruences

Published on 06 Jun 2016 - 11:54

835

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Prove the congruence $ \sum_{r=1}^{p-1}{(r|p) * r } \equiv 0 \pmod p.$

Published on 26 Mar 2026 - 8:23

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Quadratic residue $p \equiv 3 \pmod{4} $

Published on 06 Jun 2016 - 19:18

99

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How do I solve this congruence?

Published on 07 Jun 2016 - 7:38

100

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Let $a \in \Bbb Z$ such that $gcd(9a^{25}+10:280)=35$. Find the remainder of $a$ when divided by 70.

Published on 30 Mar 2026 - 17:38

126

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Help with finding the remainder of $2^{2^n}$ when divided by 13

Published on 30 Mar 2026 - 21:44

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The difference between congruence and equivalence class?

Published on 08 Jun 2016 - 19:11

121

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Solve congruence

Published on 09 Jun 2016 - 20:00

25

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How can i prove that if $x_0$ is a solution then $[x_0]$ is unique?

Published on 09 Jun 2016 - 23:04

1.3k

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System of linear congruence when not relatively prime

Published on 10 Jun 2016 - 20:02

78

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Is $S_i(1,2,\dots,p-2) \equiv 1 \pmod{p}$ for all values of $i$ whenever $p$ is prime?

Published on 30 Mar 2026 - 7:56

51

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What does congruency mean in $D_4$?

Published on 28 Mar 2026 - 1:14

194

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Can it be proven using congruence that $a^3 +b^3=c^3$ has no solution?

Published on 15 Jun 2016 - 8:06

2.4k

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how to solve $x^{113}\equiv 2 \pmod{143}$

Published on 17 Jun 2016 - 23:45

47

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Module Exponential problem

Published on 19 Jun 2016 - 11:59

List Question

Prove that $x^{n}\pmod {(x^{4}+1)}=x^{n \pmod 4}$

Prove the congruence $ \sum_{r=1}^{p-1}{(r|p) * r } \equiv 0 \pmod p.$

Quadratic residue $p \equiv 3 \pmod{4} $

How do I solve this congruence?

Let $a \in \Bbb Z$ such that $gcd(9a^{25}+10:280)=35$. Find the remainder of $a$ when divided by 70.

Help with finding the remainder of $2^{2^n}$ when divided by 13

The difference between congruence and equivalence class?

Solve congruence

How can i prove that if $x_0$ is a solution then $[x_0]$ is unique?

System of linear congruence when not relatively prime

Is $S_i(1,2,\dots,p-2) \equiv 1 \pmod{p}$ for all values of $i$ whenever $p$ is prime?

What does congruency mean in $D_4$?

Can it be proven using congruence that $a^3 +b^3=c^3$ has no solution?

how to solve $x^{113}\equiv 2 \pmod{143}$

Module Exponential problem

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