Show that $2^n+1\mid 8^n+1$
69136
factorization of a^n+1?
117167
$3^{n+1}$ divides $2^{3^n}+1$
44161
Using induction to prove $\sum_{k=0}^{N-1} 2^k = 2^N-1$
118372
Combination proof for $n(n+1)2^{n-2}=\sum_{k=1}^{n}k^2\binom{n}{k}$
122019
Prove by mathematical induction that $2^{3^n}+1$ is divisible by $3^{n+1}$
19701
Prove $5\mid2^{4n}-1$ by induction
83307
If $n\mid a^2-1$, $n$ an odd integer, show $n = \gcd(a-1, n)\gcd(a+1, n)$
34059
$(a^{2^n}+1,a^{2^m}+1)=1 or 2$
67752
Show that $\sum_{n = 1}^{+\infty} \frac{n}{2^n} = 2$
55266
Prove that $(n+1)^{n-1}<n^n$
68561
How to show $\lceil ( \sqrt3 +1)^{2n}\rceil$ where $n \in \mathbb{ N}$ is divisible by $2^{n+1}$
55428
Inductive proof of $a_n = 3*2^{n-1} + 2(-1)^n$ if $a_n = a_{n-1} + 2*a_{n-2}, a_1 = 1, a_2 = 8$
32166
Prove: if $n\mid 7^n+6^n$ and $n>1$, then $13\mid n$
48655
Find all n such that : $3 \mid (n2^{n}+1)$
53857
Showing $\sup \{ \sin n \mid n\in \mathbb N \} =1$
100361
Show that ord$_{p}2 = 2^{n + 1}$.
141088
Proof : $2^{n-1}\mid n!$ if and only if $n$ is a power of $2$.