List questions from modular-arithmetic

Published on 28 Mar 2026 - 10:16

174

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The binomial coefficient $\left(\begin{array}{l}99 \\ 19\end{array}\right)$ is $ 107,196,674,080,761,936, x y z $ , Find $x y z$

Published on 16 Apr 2026 - 10:47

39

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Modular calculation high exponent?

Published on 09 Apr 2026 - 7:46

51

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How to prove this using modular arithmetics?

Published on 10 Apr 2026 - 21:03

53

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How to prove the equivalence of these two equations in modular arithmetics?

Published on 12 Apr 2026 - 9:46

54

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Proving $(\mathbb{Z}/n\mathbb{Z},+)$ is a group

Published on 18 Apr 2026 - 1:25

120

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Finding the remainder of $123^{456}+78^9$ divided by $7$

Published on 14 Apr 2026 - 23:25

77

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How does this iterative method of computing $n! \bmod m$ work?

Published on 10 Apr 2026 - 12:55

202

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Parity of Euler's totient function

Published on 16 Apr 2026 - 9:46

211

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If $f(x)$ is a polynomial in $\mathbb{Z}$ and $f(a)\equiv k\pmod{n}$, prove that, for all integer $m$, $f(a+mn)\equiv k\pmod{n}$

Published on 16 Apr 2026 - 1:09

300

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Proof of the Euclidean Algorithm

Published on 26 Mar 2026 - 14:28

942

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What will be the remainder when 7^2020 is divided by 4?

Published on 14 Apr 2026 - 11:20

107

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On composite numbers $n$ such that $n^2\equiv 1\text{ mod }\psi(n)$, where $\psi(n)$ denotes the Dedekind psi function

Published on 17 Apr 2026 - 9:40

88

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Representatives of residue classes as elements of a vector space

Published on 25 Mar 2026 - 9:26

39

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Prove an implication in modular arithmetic

Published on 14 Apr 2026 - 1:20

List Question

How to solve $x^{17}\equiv 37$ in $\mathbb{Z}/101\mathbb{Z}$?

The binomial coefficient $\left(\begin{array}{l}99 \\ 19\end{array}\right)$ is $ 107,196,674,080,761,936, x y z $ , Find $x y z$

Modular calculation high exponent?

How to prove this using modular arithmetics?

How to prove the equivalence of these two equations in modular arithmetics?

Proving $(\mathbb{Z}/n\mathbb{Z},+)$ is a group

Finding the remainder of $123^{456}+78^9$ divided by $7$

How does this iterative method of computing $n! \bmod m$ work?

Parity of Euler's totient function

If $f(x)$ is a polynomial in $\mathbb{Z}$ and $f(a)\equiv k\pmod{n}$, prove that, for all integer $m$, $f(a+mn)\equiv k\pmod{n}$

Proof of the Euclidean Algorithm

What will be the remainder when 7^2020 is divided by 4?

On composite numbers $n$ such that $n^2\equiv 1\text{ mod }\psi(n)$, where $\psi(n)$ denotes the Dedekind psi function

Representatives of residue classes as elements of a vector space

Prove an implication in modular arithmetic

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