List questions from modular-arithmetic

Published on 17 Nov 2019 - 7:23

326

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Proof explanation: If $p$ is prime, then $x^2 \equiv 1 \:(\mathrm{mod}\:p) \Leftrightarrow x \equiv \pm1 \:(\mathrm{mod}\:p)$

Published on 17 Nov 2019 - 13:51

239

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Proof using equation that if P an odd prime then there is a primitive root of p^n

Published on 27 Mar 2026 - 10:46

83

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Modulo values of indivisible numbers

Published on 11 Apr 2026 - 10:11

43

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Three digit integers with $S(S(n))=2$

Published on 18 Nov 2019 - 21:04

450

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Is $x^6 + 108$ irreducible over $\mathbb{Q}$?

Published on 29 Mar 2026 - 12:04

60

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How can I show that for all k ∈ {0, 1, 2, ..., 18}, ∃a,b ∈ {0, 1, 2, ... , 9} such that 3a + 2b ≡ k (mod 19)?

Published on 19 Nov 2019 - 7:23

148

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Solve the non-linear congruence $x^3+2x^2+5x+4\equiv 0\pmod {60}$.

Published on 20 Nov 2019 - 3:38

65

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Please explain how $n!^{-1} * n \equiv (n - 1)!^{-1} \pmod{m}$

Published on 20 Nov 2019 - 14:00

389

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Fermat's Little Theorem when the exponent is less than the $p - 1$

Published on 12 Apr 2026 - 22:26

154

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Find an exponent $b$ such that $4^b \equiv 34\pmod{107}$

Published on 09 Apr 2026 - 11:20

118

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Quotient over modulo

Published on 11 Apr 2026 - 6:19

72

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A modulo system equation

Published on 12 Apr 2026 - 6:43

30

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what is 3x^2 + 2x + 4 when factored in mod 5? What are the steps?

Published on 12 Apr 2026 - 13:13

81

Views

$x^4 + 1020x^3 - 4x^2 + 2039x+1$ is divisible by 1019.

Published on 22 Nov 2019 - 10:55

List Question

Why is $n(n+1)$ is congruent to 0,1, or 2 modulo 5?

Proof explanation: If $p$ is prime, then $x^2 \equiv 1 \:(\mathrm{mod}\:p) \Leftrightarrow x \equiv \pm1 \:(\mathrm{mod}\:p)$

Proof using equation that if P an odd prime then there is a primitive root of p^n

Modulo values of indivisible numbers

Three digit integers with $S(S(n))=2$

Is $x^6 + 108$ irreducible over $\mathbb{Q}$?

How can I show that for all k ∈ {0, 1, 2, ..., 18}, ∃a,b ∈ {0, 1, 2, ... , 9} such that 3a + 2b ≡ k (mod 19)?

Solve the non-linear congruence $x^3+2x^2+5x+4\equiv 0\pmod {60}$.

Please explain how $n!^{-1} * n \equiv (n - 1)!^{-1} \pmod{m}$

Fermat's Little Theorem when the exponent is less than the $p - 1$

Find an exponent $b$ such that $4^b \equiv 34\pmod{107}$

Quotient over modulo

A modulo system equation

what is 3x^2 + 2x + 4 when factored in mod 5? What are the steps?

$x^4 + 1020x^3 - 4x^2 + 2039x+1$ is divisible by 1019.

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