Prove this statement for m>1 and n>2
9997
For what powers $k$ is the polynomial $n^k-1$ divisible by $(n-1)^2$?
26741
How to prove for $s<1,|a+b|^s\le|a|^s+|b|^s$
145891
Prove that $n! > \sqrt{n^n}, n \geq 3$
103732
Proving that for $n \equiv 0 \pmod{2}$, we get ${n \choose 0} < {n \choose 1} <\ldots< {n \choose n/2-1}<{n\choose n/2}$ etc.
143543
Prove that $(n - 1)^2 \mid n^k -1$ if and only if $(n - 1) \mid k$
75373
Show that $2^n>n$ for $n\in \mathbb{N}$
117680
Prove that $|e^{i\theta_1}-e^{i\theta_2}| \leq |\theta_1 - \theta_2|$
111951
Prove $\binom{n}{m}\binom{m}{k} = \binom{n}{k}\binom{n-k}{m-k}$
16392
Prove the Inequality on sequence
51653
Prove that $m+\frac{4}{m^2}\geq3$ for every $m > 0$
19804
How to prove that $|w_{n+1}-w_n| \leq (2/3)^2 |w_n - w_{n-1}|$?
100375
Prove that ${\sqrt {n} }^{\sqrt {n+1}} > {\sqrt {n+1}}^{\sqrt {n}}$.
88982
Prove that for any two sets $A$ and $B$, $A\notin B$ or $B\notin A$
140409
Prove that $\sqrt{n} > \ln n$
119118
Prove $n\mid \phi(2^n-1)$
25419
If $n\geq m$ then $(x^m+y^m)^{1/m} \ge (x^n+y^n)^{1/n}$
54380
Prove if $|z| < 1$ and $ |w| < 1$, then $|1-zw^*| \neq 0$ and $| {{z-w} \over {1-zw^*}}| < 1$