List questions from modular-arithmetic

Published on 10 May 2019 - 9:16

41

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How do I solve the second part of this question?

Published on 10 May 2019 - 9:17

121

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$1234x+567y=89$

Published on 28 Mar 2026 - 10:54

335

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How to solve this quadratic congruent equation by inspection

Published on 29 Mar 2026 - 15:21

38

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Why $99x^2 \equiv 1 \mod 5 \implies (-1)x^2 \equiv 1 \mod 5$

Published on 10 May 2019 - 15:44

350

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Solve $99x^2 \equiv 1 \mod 125$

Published on 10 May 2019 - 16:33

301

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Divisibility of cubes by 7

Published on 02 Apr 2026 - 5:05

763

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Solve the congruence by using the method of completing the square

Published on 10 May 2019 - 23:24

176

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Large modular n'th roots, e.g. solve $\,x^{118}\equiv 113\pmod{\!1001}$

Published on 11 May 2019 - 10:01

85

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Can the number $2^n + n^2$ be divisible by $5$ for some natural number $n$?

Published on 11 May 2019 - 11:23

70

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Expected number of distinct sums of two sets modulo an integer

Published on 11 May 2019 - 16:01

767

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Prove a property of Legendre symbol

Published on 25 Mar 2026 - 9:38

91

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How is it that (p-1)! is not congruent with 0 mod p if p is prime?

Published on 26 Mar 2026 - 20:16

110

Views

The Chinese Remainder when the residues are 1

Published on 13 May 2019 - 0:11

103

Views

Prove that for all $n \in \mathbb{N}$, either 3 or 13 divides $3^n + 13n^2 + 38$

Published on 28 Mar 2026 - 5:22

List Question

How many integers $m$ such that $9^m - m$ is divisible by $65$

How do I solve the second part of this question?

$1234x+567y=89$

How to solve this quadratic congruent equation by inspection

Why $99x^2 \equiv 1 \mod 5 \implies (-1)x^2 \equiv 1 \mod 5$

Solve $99x^2 \equiv 1 \mod 125$

Divisibility of cubes by 7

Solve the congruence by using the method of completing the square

Large modular n'th roots, e.g. solve $\,x^{118}\equiv 113\pmod{\!1001}$

Can the number $2^n + n^2$ be divisible by $5$ for some natural number $n$?

Expected number of distinct sums of two sets modulo an integer

Prove a property of Legendre symbol

How is it that (p-1)! is not congruent with 0 mod p if p is prime?

The Chinese Remainder when the residues are 1

Prove that for all $n \in \mathbb{N}$, either 3 or 13 divides $3^n + 13n^2 + 38$

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