List questions from congruence-relations

Published on 31 Jul 2016 - 16:02

223

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Interpretation of *congruence for complex matrices

Published on 17 Mar 2026 - 13:56

559

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Relationship between Perimeter of 2 Similar Triangle

Published on 25 Mar 2026 - 7:43

120

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Solving a congruence without Fermat's little theorem

Published on 30 Aug 2016 - 14:12

5.7k

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Use congruence's to find the reminder when $2^{50}$ and $41^{65}$ are divided by $7$

Published on 26 Sep 2016 - 15:11

2.1k

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$7\mid5^{2n}+3\cdot2^{5n-2}$; $43\mid6^{n+2}+7^{2n+1}$

Published on 26 Sep 2016 - 15:32

348

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Associanize a magma

Published on 24 Mar 2026 - 23:32

131

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Prove $[a],[b]\in\mathbb{Z}$ and $[a]=[a']$ and $[b]=[b']$ imply $[a]+[b]=[a+b]=[a'+b']=[a']+[b']$

Published on 06 Oct 2016 - 18:17

99

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Show that $Con(A) \times Con(B)$ embeds into $Con(A \times B)$

Published on 11 Oct 2016 - 4:00

42

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Proving this modulo question

Published on 04 Nov 2016 - 18:24

48

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Prove any congruence on $\mathcal{R}\times \mathcal{S}$ is of the following form

Published on 09 Nov 2016 - 23:30

3.4k

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Prove that 11 divides a if and only if 11 divides the alternating sum of the digits of a

Published on 10 Nov 2016 - 20:20

208

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Lattice of congruences of a lattice is distributive

Published on 14 Nov 2016 - 19:19

157

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Prove that $a^m + (a+1)^n \equiv 1 + a(1 + (-1)^{m-1})\pmod {a(a+1)}$

Published on 15 Nov 2016 - 2:42

71

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Solve a congruence relation

Published on 15 Nov 2016 - 21:26

List Question

The number of solutions of $x^{22} \equiv 2(mod23)$ has-

Interpretation of *congruence for complex matrices

Relationship between Perimeter of 2 Similar Triangle

Solving a congruence without Fermat's little theorem

Use congruence's to find the reminder when $2^{50}$ and $41^{65}$ are divided by $7$

$7\mid5^{2n}+3\cdot2^{5n-2}$; $43\mid6^{n+2}+7^{2n+1}$

Associanize a magma

Prove $[a],[b]\in\mathbb{Z}$ and $[a]=[a']$ and $[b]=[b']$ imply $[a]+[b]=[a+b]=[a'+b']=[a']+[b']$

Show that $Con(A) \times Con(B)$ embeds into $Con(A \times B)$

Proving this modulo question

Prove any congruence on $\mathcal{R}\times \mathcal{S}$ is of the following form

Prove that 11 divides a if and only if 11 divides the alternating sum of the digits of a

Lattice of congruences of a lattice is distributive

Prove that $a^m + (a+1)^n \equiv 1 + a(1 + (-1)^{m-1})\pmod {a(a+1)}$

Solve a congruence relation

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