List questions from congruence-relations

Published on 05 Jul 2014 - 19:27

154

Views

If $\lambda\subseteq\mathscr{L}, \rho\subseteq\mathscr{R}$, then $\lambda\circ\rho=\rho\circ\lambda$.

Published on 16 Oct 2014 - 10:56

82

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Show that $4(p-5)! + 1 \equiv 0 \pmod p$

Published on 11 Oct 2019 - 3:30

29

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Find $a$ inverse modulo 30, $1\le a \le 30$. For each $a$ you find, find the inverse of each $a$ that have inverse modulo 30

Published on 17 Oct 2019 - 19:56

301

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"Self-congruent" matrices examples

Published on 22 Oct 2019 - 1:45

149

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How to solve a non-linear system of modulus equations?

Published on 23 Feb 2026 - 8:23

130

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Prove/Disprove that the following relation is a congruence relation

Published on 02 Nov 2019 - 19:56

756

Views

Proving that if gcd(a,n)=gcd(b,n)=1, then ax+by = c (modn) has exactly n different solutions mod n.

Published on 03 Nov 2019 - 4:05

92

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$n\bar k=\overline{nk}$ in $Z_m$?

Published on 21 Dec 2019 - 13:44

104

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Integer Factor Congruence

Published on 24 Dec 2019 - 16:49

80

Views

$k-$th root modulo $n$.

Published on 24 Mar 2026 - 23:09

27

Views

Congruence on semigroup

Published on 13 Jan 2020 - 15:50

73

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How can we obtain $\sum_{l=1}^{m}(-1)^{l+1} \binom{m}{l} \equiv 1\pmod{p}$

Published on 21 Jan 2020 - 21:31

117

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Prove that if $p$ is prime, then an element of $\mathbb{Z} /p \mathbb{Z}$ has at most two square roots.

Published on 30 Jan 2020 - 3:48

68

Views

Is 7($11^{106}$)+290 divisible by 13?

Published on 01 Mar 2020 - 5:33

List Question

Proof: Every normal subgroup has corresponding Congruence relation and vice versa

If $\lambda\subseteq\mathscr{L}, \rho\subseteq\mathscr{R}$, then $\lambda\circ\rho=\rho\circ\lambda$.

Show that $4(p-5)! + 1 \equiv 0 \pmod p$

Find $a$ inverse modulo 30, $1\le a \le 30$. For each $a$ you find, find the inverse of each $a$ that have inverse modulo 30

"Self-congruent" matrices examples

How to solve a non-linear system of modulus equations?

Prove/Disprove that the following relation is a congruence relation

Proving that if gcd(a,n)=gcd(b,n)=1, then ax+by = c (modn) has exactly n different solutions mod n.

$n\bar k=\overline{nk}$ in $Z_m$?

Integer Factor Congruence

$k-$th root modulo $n$.

Congruence on semigroup

How can we obtain $\sum_{l=1}^{m}(-1)^{l+1} \binom{m}{l} \equiv 1\pmod{p}$

Prove that if $p$ is prime, then an element of $\mathbb{Z} /p \mathbb{Z}$ has at most two square roots.

Is 7($11^{106}$)+290 divisible by 13?

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