List questions from modular-arithmetic

Published on 26 Mar 2026 - 3:11

104

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A basic power problem.

Published on 28 Mar 2026 - 4:22

68

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$n \in \mathbb N$, find all values of $n$ for which $3^{2n+1}-2^{2n+1}-6^n$ is a prime number.

Published on 19 Dec 2018 - 20:16

563

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Questions on a proof that $\mathbb F_2[x]/(x^2-1)$ and $\mathbb F_2[x]/(x^2)$ are isomorphic.

Published on 29 Mar 2026 - 23:30

46

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Heuristic in quotient rings with linear relations?

Published on 30 Mar 2026 - 1:12

147

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Prove that $(p - 1)! \equiv (p - 1) \pmod{p(p - 1)}$

Published on 20 Dec 2018 - 16:01

88

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show that $(1^p)^k+(2^p)^k+\cdots+((p-1)^p)^k$ is divisible by $p$

Published on 27 Mar 2026 - 8:57

1k

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How to shift right in modular arithmetic $2^n$ using only subtraction and multiplication.

Published on 23 Feb 2026 - 5:17

112

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How to solve such a modular equation?

Published on 21 Dec 2018 - 9:06

51

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Is it possible to find $x$ in a general form or forms for the equation $2n^2 + 2n + 1$ mod $x = 0$?

Published on 22 Dec 2018 - 5:30

108

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How to solve such a quadratic congruence equation?

Published on 25 Mar 2026 - 14:04

239

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reversible modulo equation

Published on 26 Mar 2026 - 1:26

508

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Proof that $x^{(n+4)} \bmod 10 = x^n \bmod 10\,$ for $\,n\ge 1$

Published on 26 Mar 2026 - 9:42

250

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Find all ordered pairs $(a,b)$ of positive integers for which $\frac{1}{a} + \frac{1}{b} = \frac{3}{2018}$

Published on 24 Dec 2018 - 16:47

61

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Modular inverse of a fraction vs just the numerator

Published on 24 Dec 2018 - 21:34

List Question

What's a quick method of solving this type of question?

A basic power problem.

$n \in \mathbb N$, find all values of $n$ for which $3^{2n+1}-2^{2n+1}-6^n$ is a prime number.

Questions on a proof that $\mathbb F_2[x]/(x^2-1)$ and $\mathbb F_2[x]/(x^2)$ are isomorphic.

Heuristic in quotient rings with linear relations?

Prove that $(p - 1)! \equiv (p - 1) \pmod{p(p - 1)}$

show that $(1^p)^k+(2^p)^k+\cdots+((p-1)^p)^k$ is divisible by $p$

How to shift right in modular arithmetic $2^n$ using only subtraction and multiplication.

How to solve such a modular equation?

Is it possible to find $x$ in a general form or forms for the equation $2n^2 + 2n + 1$ mod $x = 0$?

How to solve such a quadratic congruence equation?

reversible modulo equation

Proof that $x^{(n+4)} \bmod 10 = x^n \bmod 10\,$ for $\,n\ge 1$

Find all ordered pairs $(a,b)$ of positive integers for which $\frac{1}{a} + \frac{1}{b} = \frac{3}{2018}$

Modular inverse of a fraction vs just the numerator

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