List questions from modular-arithmetic

Published on 25 Mar 2026 - 9:38

63

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Is there a way to solve congruences?

Published on 10 Apr 2019 - 14:33

151

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Any divisor of $(n + 1)^p - n^p$ is $1 \textrm{ mod } p$

Published on 10 Apr 2019 - 14:59

93

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What is $(2018^{2019} + 2019^{2018}) \pmod{7}$?

Published on 10 Apr 2019 - 21:47

79

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Solve $ x^2 + \bar{2}x - \bar{2} = \bar{0} $ in $\mathbb{Z}_{11}$

Published on 10 Apr 2019 - 22:59

46

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Help with what a homomorphism means in $\Phi: (\Bbb{Z}_{18},+_{18})\rightarrow(\Bbb{Z}_{12},+_{12})$

Published on 26 Mar 2026 - 21:27

55

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$f(x) = x$ in $(\mathbb{Z}/6\mathbb{Z})[x]$ factors as $(3x+4)(4x+3)$

Published on 27 Mar 2026 - 0:04

318

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Quadratic Congruence modulo square-free integer

Published on 25 Mar 2026 - 17:17

266

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Proving that $(\mathbb{Z}/23\mathbb{Z})^*=\langle{}5 \, \text{mod} \, 23\rangle$

Published on 11 Apr 2019 - 11:40

141

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Quadratic residue

Published on 26 Mar 2026 - 12:52

44

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Maximum Remainder of (a*x)%c

Published on 12 Apr 2019 - 4:52

553

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Number of different quadratic functions mod 12.

Published on 29 Mar 2026 - 8:35

66

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Maximise the modulus of product of a constant and a variable

Published on 13 Apr 2019 - 11:08

26

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Which of these congruences have solutions?

Published on 25 Mar 2026 - 11:13

37

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Show that this congruence has solutions for all primes $p$

Published on 13 Apr 2019 - 13:15

List Question

Finding All Ring Homomorphisms from $\Bbb Z_m$ to $\Bbb Z_n$

Is there a way to solve congruences?

Any divisor of $(n + 1)^p - n^p$ is $1 \textrm{ mod } p$

What is $(2018^{2019} + 2019^{2018}) \pmod{7}$?

Solve $ x^2 + \bar{2}x - \bar{2} = \bar{0} $ in $\mathbb{Z}_{11}$

Help with what a homomorphism means in $\Phi: (\Bbb{Z}_{18},+_{18})\rightarrow(\Bbb{Z}_{12},+_{12})$

$f(x) = x$ in $(\mathbb{Z}/6\mathbb{Z})[x]$ factors as $(3x+4)(4x+3)$

Quadratic Congruence modulo square-free integer

Proving that $(\mathbb{Z}/23\mathbb{Z})^*=\langle{}5 \, \text{mod} \, 23\rangle$

Quadratic residue

Maximum Remainder of (a*x)%c

Number of different quadratic functions mod 12.

Maximise the modulus of product of a constant and a variable

Which of these congruences have solutions?

Show that this congruence has solutions for all primes $p$

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