Question

If $c \mid a, c \mid b$ and $d = \gcd(a, b)$, then $\gcd(\frac{a}{c},\frac{b}{c}) = \frac{d}{c}$.

score 141 · Answer 1 · 2026-05-10 12:34:12

141

Views

If $c \mid a, c \mid b$ and $d = \gcd(a, b)$, then $\gcd(\frac{a}{c},\frac{b}{c}) = \frac{d}{c}$.

Published on 10 May 2026 - 12:34

score 99 · Answer 2 · 2026-04-16 14:01:37

99

Views

Find all $n \in \mathbb{N}$ such that $(n+2) \mid (n^2+5)$

Published on 16 Apr 2026 - 14:01

score 541 · Answer 3 · 2026-04-16 03:09:03

541

Views

Show that for all $n ∈ Z$, $2n^3 + 3n^2 + n$ is divisible by both 2 and 3.

Published on 16 Apr 2026 - 3:09

score 24 · Answer 4 · 2026-04-10 14:50:17

24

Views

How to prove a statement regarding divisibility?

Published on 10 Apr 2026 - 14:50

score 129 · Answer 5 · 2026-03-24 23:48:11

129

Views

How do I find the remainder of $23! +29!$ divided by $13! +19!$?

Published on 24 Mar 2026 - 23:48

score 420 · Answer 6 · 2026-04-29 12:51:42

420

Views

Prove $a \mid m$ and $b \mid m \implies \frac{a \cdot b}{\text{gcd}(a, b)} \mid m$

Published on 29 Apr 2026 - 12:51

score 559 · Answer 7 · 2026-05-10 12:34:51

559

Views

Find the natural solutions of $a^3-b^3=999$

Published on 10 May 2026 - 12:34

score 85 · Answer 8 · 2026-04-15 04:00:12

85

Views

Show that this expression is divisible by $133$ [more info in desc.]

Published on 15 Apr 2026 - 4:00

score 1.5k · Answer 9 · 2026-03-25 02:43:08

1.5k

Views

Suppose that $a$ and $b$ are positive integers such that $ab$ divides $a + b$.

Published on 25 Mar 2026 - 2:43

score 43 · Answer 10 · 2026-03-24 23:43:18

43

Views

Arithmetic of integers, divisibility

Published on 24 Mar 2026 - 23:43

score 95 · Answer 11 · 2026-05-10 12:33:28

95

Views

Prove, that $3^n+3$ can't be a square

Published on 10 May 2026 - 12:33

score 116 · Answer 12 · 2026-05-06 11:32:56

116

Views

Number of entries are not divisible by x in the n th row of triangle

Published on 06 May 2026 - 11:32

score 428 · Answer 13 · 2026-04-12 22:59:34

428

Views

How many ways can the digits $2,3,4,5,6$ be arranged to get a number divisible by 11

Published on 12 Apr 2026 - 22:59

score 270 · Answer 14 · 2026-04-29 12:52:51

270

Views

How to prove that $m!n!(m+n)!|(2m)!(2n)!$ for every pair of positive integers $(m,n)$?

Published on 29 Apr 2026 - 12:52

score 212 · Answer 15 · 2026-03-24 23:46:37

212

Views

Unable to prove that $n^5-n$ is a multiple of 30.

Published on 24 Mar 2026 - 23:46

List Question

If $c \mid a, c \mid b$ and $d = \gcd(a, b)$, then $\gcd(\frac{a}{c},\frac{b}{c}) = \frac{d}{c}$.

Find all $n \in \mathbb{N}$ such that $(n+2) \mid (n^2+5)$

Show that for all $n ∈ Z$, $2n^3 + 3n^2 + n$ is divisible by both 2 and 3.

How to prove a statement regarding divisibility?

How do I find the remainder of $23! +29!$ divided by $13! +19!$?

Prove $a \mid m$ and $b \mid m \implies \frac{a \cdot b}{\text{gcd}(a, b)} \mid m$

Find the natural solutions of $a^3-b^3=999$

Show that this expression is divisible by $133$ [more info in desc.]

Suppose that $a$ and $b$ are positive integers such that $ab$ divides $a + b$.

Arithmetic of integers, divisibility

Prove, that $3^n+3$ can't be a square

Number of entries are not divisible by x in the n th row of triangle

How many ways can the digits $2,3,4,5,6$ be arranged to get a number divisible by 11

How to prove that $m!n!(m+n)!|(2m)!(2n)!$ for every pair of positive integers $(m,n)$?

Unable to prove that $n^5-n$ is a multiple of 30.

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