List questions from divisibility

Published on 28 Mar 2026 - 4:00

83

Views

Find gcd($2^{19} + 1$; $2^{86} + 1$)

Published on 28 Mar 2026 - 3:53

27

Views

Can a number consisting only of numbers $8$ and $6$ be a square of an integer?

Published on 18 Oct 2019 - 16:00

139

Views

The sum of $49$ natural numbers is $540$. Find the largest possible value of their greatest common divisor.

Published on 28 Mar 2026 - 6:00

44

Views

$m \mid n$ if and only if $R_m \mid R_n$

Published on 21 Oct 2019 - 18:46

80

Views

Proof $3\mid xy$ if and only if $3\mid x$ or $3\mid y$

Published on 22 Oct 2019 - 11:28

260

Views

Then find the sum of all possible values of $abc$.

Published on 22 Oct 2019 - 20:01

42

Views

Two related proofs I'm having difficulty with concerning biconditionality and divisibility

Published on 23 Oct 2019 - 7:13

52

Views

Division in $\mathbb{Z}[i]$

Published on 26 Mar 2026 - 17:38

43

Views

A bunch of lilac

Published on 28 Mar 2026 - 6:01

10.6k

Views

For all integers a, b, and c, if ab | c then a | c and b | c

Published on 24 Oct 2019 - 20:41

85

Views

If $f(f(x))$ is linear, is $f(x)$ linear? If f(x) is closed on the set of natural numbers?

Published on 29 Mar 2026 - 12:39

110

Views

Prove that if $a\mid bc$ and $\gcd(a,b)=1$, then $a\mid c$ without Bezout

Published on 28 Mar 2026 - 6:00

59

Views

Find three natural numbers $a,b,c$ such : $\begin{cases}ab=1(\mod c)\\ac=1(\mod b)\\bc=1(\mod a)\end{cases}$

Published on 25 Oct 2019 - 11:21

71

Views

Integers to satisfy $\frac{3^{a-1}+2c}{3^{a}-2^{b}}\in\mathbb{Z} \text{ where a,b,c}\in \mathbb{Z}^+,b\geq a$

Published on 25 Oct 2019 - 18:17

List Question

Divisibility if a is odd.

Find gcd($2^{19} + 1$; $2^{86} + 1$)

Can a number consisting only of numbers $8$ and $6$ be a square of an integer?

The sum of $49$ natural numbers is $540$. Find the largest possible value of their greatest common divisor.

$m \mid n$ if and only if $R_m \mid R_n$

Proof $3\mid xy$ if and only if $3\mid x$ or $3\mid y$

Then find the sum of all possible values of $abc$.

Two related proofs I'm having difficulty with concerning biconditionality and divisibility

Division in $\mathbb{Z}[i]$

A bunch of lilac

For all integers a, b, and c, if ab | c then a | c and b | c

If $f(f(x))$ is linear, is $f(x)$ linear? If f(x) is closed on the set of natural numbers?

Prove that if $a\mid bc$ and $\gcd(a,b)=1$, then $a\mid c$ without Bezout

Find three natural numbers $a,b,c$ such : $\begin{cases}ab=1(\mod c)\\ac=1(\mod b)\\bc=1(\mod a)\end{cases}$

Integers to satisfy $\frac{3^{a-1}+2c}{3^{a}-2^{b}}\in\mathbb{Z} \text{ where a,b,c}\in \mathbb{Z}^+,b\geq a$

Trending Questions

Popular # Hahtags

Popular Questions