List questions from divisibility

193

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Number of elements with order divisible by certain cyclic subgroups order in $(\mathbb{Z}/\mathbb{Z}_n)^*$

Published on 13 Jul 2018 - 21:50

49

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Non-divisibility and Addtion

Published on 15 Jul 2018 - 12:14

5k

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Calculator's view on the non-permissible values of the expression $\frac{1}{\frac{x}{x-1}+x}$

Published on 16 Jul 2018 - 0:05

341

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$\frac{x^2+y^2}{x-y}|1995$. Find positive integer $x,y$

Published on 17 Jul 2018 - 12:47

62

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Is $(2^2-1)(3^2-1)(4^2-1)....(300^2-1)$ divisible by $7^{95}$?

Published on 25 Mar 2026 - 19:25

121

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Remainder when $4^{2018}$ is divided by $29$

Published on 25 Mar 2026 - 7:40

148

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Largest integer less than 999 with $(n-1)^2\mid n^{2016}-1$

Published on 20 Jul 2018 - 6:53

54

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Inductive Proof for Divisibilty of Elements of a Set

Published on 20 Jul 2018 - 17:11

1.3k

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Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.

Published on 23 Jul 2018 - 4:59

51

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Remainders of functions

Published on 23 Jul 2018 - 17:05

433

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Divisibility of polynomials

Published on 25 Mar 2026 - 16:13

137

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Why does $10^{\frac{p-1}{2}}\equiv \pm1 \pmod p$ when $p \nmid 10$?

Published on 29 Jul 2018 - 8:56

92

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Let $R_n = \underbrace{11\ldots1}_{n}$. Prove that if $(n, m) = 1$, then $(R_n, R_m) = 1$.

Published on 25 Mar 2026 - 4:43

2.2k

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Sum of last digits of a sum

Published on 31 Jul 2018 - 6:39

271

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Why is $(n+1)(n+2)\cdots(n+s)$ divisible by $s!$?

Published on 01 Aug 2018 - 19:46

List Question

Number of elements with order divisible by certain cyclic subgroups order in $(\mathbb{Z}/\mathbb{Z}_n)^*$

Non-divisibility and Addtion

Calculator's view on the non-permissible values of the expression $\frac{1}{\frac{x}{x-1}+x}$

$\frac{x^2+y^2}{x-y}|1995$. Find positive integer $x,y$

Is $(2^2-1)(3^2-1)(4^2-1)....(300^2-1)$ divisible by $7^{95}$?

Remainder when $4^{2018}$ is divided by $29$

Largest integer less than 999 with $(n-1)^2\mid n^{2016}-1$

Inductive Proof for Divisibilty of Elements of a Set

Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.

Remainders of functions

Divisibility of polynomials

Why does $10^{\frac{p-1}{2}}\equiv \pm1 \pmod p$ when $p \nmid 10$?

Let $R_n = \underbrace{11\ldots1}_{n}$. Prove that if $(n, m) = 1$, then $(R_n, R_m) = 1$.

Sum of last digits of a sum

Why is $(n+1)(n+2)\cdots(n+s)$ divisible by $s!$?

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