Prove: $2^b-1\mid{}2^a-1 \iff b\mid{}a$
33344
A different way to show that $a^k-1 \mid a^n-1$ if $k\mid n$?
46286
Prove if $a\mid b$ and $b\mid a$, then $|a|=|b|$ , $a, b$ are integers.
44897
Proof: If $n=ab$ then $2^a-1 \mid 2^n-1$
50614
If $4\mid a+bc$ and $6\mid b+ac$ prove that $2\mid a^2-b^2$
100305
Prove $2^n-1$ is divisible by $(2^m-1)^2$ iff...
83662
Prove that $ a $ divides $1^{a^{n}} + 2^{a^{n}} + ... + (a-1)^{a^{n}}$?
98855
Prove $aba^{-1}b^{-1}\in{N}$ for all $a,b$
145041
Given that $p$ is a prime and $p\mid a^n$, prove that $p^n\mid a^n$.
100558
Prove that for any even positive integer $n$, $n^2-1 \mid 2^{n!}-1$
56878
Proof that $a\mid b \land b\mid c \Rightarrow a\mid c $
12100
$n \mid (a^{n}-b^{n}) \ \Longrightarrow$ $n \mid \frac{a^{n}-b^{n}}{a-b}$
76696
Using induction to prove $2^{n-1}(1 + a_1a_2\ldots a_n) \geq (1+a_1)(1+a_2)\ldots(1+a_n)$ for $a_i \geq 1$
139503
How to prove $|a+b|^k \leq 2^{k-1} (|a|^k+|b|^k)$?
145125
How to prove that $A^{-1} + B^{-1}$ is invertible given the conditions
1478
An inequality for powers of reals: $a^{1/n}-b^{1/n}<(a-b)^{1/n}$
89175
Proof of $(a+b)^{n+1}$
155545
Showing that $a \mid b$ and $b \mid a$ if and only if $a= \pm b$.