List questions from modular-arithmetic

Published on 14 Apr 2026 - 14:16

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Question about Chinese Remainder Theorem

Published on 11 Apr 2026 - 1:12

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What should $n$ be equal to, so that $5^{2n+1}2^{n+2} + 3^{n+2}2^{2n+1}$ is completely divisible by $19$?

Published on 15 Apr 2026 - 11:05

62

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How to solve these kind of Modular Arithmetics situations?

Published on 12 Apr 2026 - 3:06

102

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find primes p,q,and r

Published on 16 Apr 2026 - 19:02

107

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Number theory question: Prove $27\mid a+b+c$ if $(a-b)(b-c)(c-a)=a+b+c$.

Published on 14 Apr 2026 - 2:00

220

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Proof $\operatorname{ord}_{2^n}(3)=2^{n-2}$

Published on 16 Apr 2026 - 14:21

41

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Can closed forms for the outputs in this production simulation be found?

Published on 17 Apr 2026 - 14:24

115

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Remainder of $15^{81}$ divided by $13$ without using Fermat's Little theorem.

Published on 13 Apr 2026 - 15:03

45

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Congruence proof involving $x$ and a summation of its digits.

Published on 12 Apr 2026 - 7:26

68

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If $\text{ord}_m(c)=n$, find $\text{ord}_m(c^2)$

Published on 17 Apr 2026 - 15:38

1.7k

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Prove that $5^{3^n} + 1$ is divisible by $3^{n + 1}$ for all nonnegative integers $n.$

Published on 15 Apr 2026 - 2:37

189

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congruent matrices

Published on 11 Apr 2026 - 20:54

58

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Why is this not sufficient proof of the divisibility of $\binom{p}{j}$ by $p$.

Published on 16 Apr 2026 - 6:35

87

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Can $a \bmod 3$ be represented arithmetically without the mod or other integer-related functions?

Published on 14 Apr 2026 - 18:58

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does $a^b \pmod p = (a \pmod p)^b$

Question about Chinese Remainder Theorem

What should $n$ be equal to, so that $5^{2n+1}2^{n+2} + 3^{n+2}2^{2n+1}$ is completely divisible by $19$?

How to solve these kind of Modular Arithmetics situations?

find primes p,q,and r

Number theory question: Prove $27\mid a+b+c$ if $(a-b)(b-c)(c-a)=a+b+c$.

Proof $\operatorname{ord}_{2^n}(3)=2^{n-2}$

Can closed forms for the outputs in this production simulation be found?

Remainder of $15^{81}$ divided by $13$ without using Fermat's Little theorem.

Congruence proof involving $x$ and a summation of its digits.

If $\text{ord}_m(c)=n$, find $\text{ord}_m(c^2)$

Prove that $5^{3^n} + 1$ is divisible by $3^{n + 1}$ for all nonnegative integers $n.$

congruent matrices

Why is this not sufficient proof of the divisibility of $\binom{p}{j}$ by $p$.

Can $a \bmod 3$ be represented arithmetically without the mod or other integer-related functions?

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