$[E:F]$ is the minimum positive integer $k$ such that $m \mid (q^k-1)$
14918
Degree of splitting field of $X^n-1$ over some finite field
114575
If $\sum_{i=1}^k \dim F_i > n(k-1)$ then $\cap_{i=1}^k F_i \neq \{0\}$
29467
Prove that the minimum number of cycles is $m-n+1$
84697
Show that if $|f(z)| \leq M |z|^n$ then $f$ is a polynomial max degree n
110876
Prove that $p\mid \binom{p}{k},\ 0< k< p$
140830
Show $\,p\mid 9^q -1 \implies q\mid p-1$ for odd primes $p$ and $q$
101371
show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$
146093
Why if $n \mid m$, then $(a^n-1) \mid (a^m-1)$?
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
50927
If $m,n\in N$ Prove that there is such a positive integer k, such that $(\sqrt{m}+\sqrt{m+1})^n=\sqrt{k}+\sqrt{k+1}$
93076
When $\min \max = \max \min$?
53475
Let $H$ have order $m$ and $K$ have order $n$, where $m$ and $n$ are relatively prime. Then $H \cap K=\{e\}$
42366
Prove $\mathbb{P}(\sup_{t \geq 0} M_t > x \mid \mathcal{F}_0)= 1 \wedge \frac{M_0}{x}$ for a martingale $(M_t)_{t \geq 0}$
118306
$I:=\{f(x)\in R\mid f(1)=0\}$ is a maximal ideal?
136304
Prove: $2^b-1\mid{}2^a-1 \iff b\mid{}a$
38876
$r! \equiv (−1)^k \pmod p$
73238
Show that $a^{q-1} \equiv 1 \pmod{pq}$