Find all n for which $2^n$ divides $3^n-1$
55437
When does $2^{n}$ divide $3^{n}-1$
50894
Prove that $6$ divides $n(n + 1)(n + 2)$
129238
Divisibility of $2^n - 1$ by $2^{m+n} - 3^m$.
114873
Show that if $n$ is not divisible by $2$ or by $3$, then $n^2-1$ is divisible by $24$.
94516
If $3$ divides $a^2 + b^2$, then $3$ divides $a$ and $3$ divides $b$
91921
Divisibility of $n\cdot2^n+1$ by 3.
96268
Prove that $5$ divides $3^{3n+1}+2^{n+1}$
128306
Show that for all $n ∈ Z$, $2n^3 + 3n^2 + n$ is divisible by both 2 and 3.
29963
$6$ divides $a+b+c$ if and only if $6$ divides $a^{3}+b^{3}+c^{3}$
44701
How to find maximum $x$ that $k^x$ divides $n!$
40565
How can I prove that one of $n$, $n+2$, and $n+4$ must be divisible by three, for any $n\in\mathbb{N}$
117969
Suppose $n$ divides $3^n + 4^n$. Show that $7$ divides $n$.
9217
Find $n$ such that $x^2 + x + 1$ is a factor of $(x+1)^n - x^n - 1$.
113458
How to factor $a^n - b^n$?
139659
Find all $n$ with $\!\bmod n\!:\, a\,$ invertible $\Rightarrow a^{-1} \equiv a,\,$ i.e. $a^2\equiv 1$
119146
How to solve $n < 2^{n/8}$ for $n$?
44906
Use induction to prove that $2^n$ divides $(2n)!$ for any $n\in\mathbb{Z}_{\geq0}.$