Does $n\mid(a^n-b^n)$ imply $n\mid(a^n-b^n)/(a-b)$?
12100
$n \mid (a^{n}-b^{n}) \ \Longrightarrow$ $n \mid \frac{a^{n}-b^{n}}{a-b}$
48655
Find all n such that : $3 \mid (n2^{n}+1)$
30583
If $a\mid b$ and $b\mid a$, $a,b\in R$, show that $\exists w \in R^\times$ with $b=wa$
18140
When does $\,n\mid q^3 \Rightarrow n\mid q\,$?
9846
Prove $n-m \mid n^r - m^r\,$ [Factor Theorem, monomial case]
27281
How to prove $\,x^a-1 \mid x^b-1 \iff a\mid b$
39217
If $d \mid n$ then $x^{q^d} - x \mid x^{q^n} - x$.
146093
Why if $n \mid m$, then $(a^n-1) \mid (a^m-1)$?
145041
Given that $p$ is a prime and $p\mid a^n$, prove that $p^n\mid a^n$.
28136
$A^m\hookrightarrow A^n$ implies $m\leq n$ for a ring $A\neq 0$
56878
Proof that $a\mid b \land b\mid c \Rightarrow a\mid c $
123275
Prove $[A,B^n] = nB^{n-1}[A,B]$
48211
When is $(a+b)^n \equiv a^n+b^n$?
83938
If$(ab)^n=a^nb^n$ & $(|G|, n(n-1))=1$ then $G$ is abelian
33542
When is $A- B = B- A$?
50614
If $4\mid a+bc$ and $6\mid b+ac$ prove that $2\mid a^2-b^2$
69131
Different proofs of $\,a^n-b^n =(a-b)\sum_{i=0}^{n-1} a^i b^{n-1-i} $?