Given $n$, exist $k$ such that $2^k$ contains $n$ as string.
45240
Starting digits of $2^n$.
35553
If $n$ is composite, so is $2^n-1$
117862
Number of partitions of an $n$-element set into $k$ classes
143357
Comparing $2^n$ to $n!$
98352
If $k|n$, then $D_{2n}/\langle{r^k}\rangle\cong D_{2k}$
152638
The set of integers $n$ expressible as $n=x^2+xy+y^2$
73174
Prove $KN\cong K\times N$ if $K\cap N=\{e\}$
44841
Complexity of $T(n) = 2T(n/2) + n$
13330
Inductive Proof that $k!<k^k$, for $k\geq 2$.
127843
Prove that, for any natural number $k$ $\exists m \in M $ s.t i) $m$ has exactly $k$ $1$'s, an
20964
Proof that $n^2 < 2^n$
11817
Proving that every set $A \subset \Bbb N$ of size $n$ contains a subset $B \subset A$ with $n | \sum_{b \in B} b$
110662
Show that $P(\mathbb{N})$ is equivalent to $2^\mathbb{N}$
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
8609
Prove by induction that $n!>2^n$
34154
Prove the statement $\forall x\in\mathbb N (x > 1\to\exists k\in\mathbb N\exists m \in\mathbb N (m \equiv 1 (\text{mod }2) \wedge x = 2^km))$.
18141
Embedding $S_n$ into $A_{n+2}$