If $a^6\mid b^6$, then does $a\mid b$?
10236
Show that $a^n \mid b^n$ implies $a \mid b$
145041
Given that $p$ is a prime and $p\mid a^n$, prove that $p^n\mid a^n$.
138894
Prove that if $3\mid(a^2+b^2)$,then $3\mid a$ and $ 3\mid b$
153100
A counterexample to "$k\mid n$ if and only if $k\mid n^2$"
130027
Give a direct proof of the fact that $a^2-5a+6$ is even for any $a \in \mathbb Z$
136367
Prove $ ∀a, b, c ∈ Z,$ if $ab + ac ≡ 3$ (mod 6) then b $\not\equiv$ c (mod 6).
138501
Is $\mathbf{Q}(\sqrt{2},\sqrt{3}) = \mathbf{Q}(\sqrt{6})$?
5981
For which values of $a$ does $a-2 \mid a^3+4$
71012
If $a, b$ are positive integers such that $a|b^2, b^2|a^3,....$ then $a=b$.
18693
If $a,b$ are positive integers such that $a^{n}+n$ divides $b^{n}+n$ for every $n$, then $a=b$
21006
Let $a,b$ be positive integers such that $a\mid b^2 , b^2\mid a^3 , a^3\mid b^4 \ldots$ so on , then $a=b$?
127293
Prove that $(a-b) \mid (a^n-b^n)$
72092
If $A^2 = I$, $B^2=I$ and $(AB)^2=I$, then $AB = BA$
90283
Proof that $3 \mid \left( a^2+b^2 \right)$ iff $3 \mid \gcd \left( a,b\right)$
120292
How to formally prove: if $d\mid da+b$, then $d\mid b$?
31465
Prove that if $a \mid b$ then $\gcd(a,b) = |a|$
136304
Prove: $2^b-1\mid{}2^a-1 \iff b\mid{}a$