Show that $(x^{2^k}+1)\mid (x^{2^l}-1)$, when $k<l$
22093
How to show $a^{2^n}+1 \mid a^{2^m}-1$?
58133
${a^2}{\mid}({b^3} + 1)\;$and$\;{b^2}{\mid}({a^3} + 1)$
80421
Show that $a - b \mid f(a) - f(b)$
57670
Show that $|z_1 + z_2|^2 < (1+C)|z_1|^2 + \left(1 + \frac{1}{C}\right) |z_2|^2$
7843
Show that order of $a^k$
77076
Proof that $(x-1)^2$ divides a $nx^{n+1} – (n+1)x^{n}+1$
101057
Show that $1^{p-1} + 2^{p-1} +\ldots + (p-1)^{p-1} \equiv -1 \mod p$
136304
Prove: $2^b-1\mid{}2^a-1 \iff b\mid{}a$
19804
How to prove that $|w_{n+1}-w_n| \leq (2/3)^2 |w_n - w_{n-1}|$?
130223
Proving a special case of the binomial theorem: $\sum^{k}_{m=0}\binom{k}{m} = 2^k$
110876
Prove that $p\mid \binom{p}{k},\ 0< k< p$
155232
Prove that inequality is true for $x>0$: $(e^x-1)\ln(1+x) > x^2$
101371
show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$
114867
Prove $\forall n\geq 2,n\in\mathbb{Z}$, $(n+1)\mid(n^3+1)$
10236
Show that $a^n \mid b^n$ implies $a \mid b$
131551
$pq\mid pn^q+qn^p+kn$ for some $k,\,$ if $p,q$ are primes
98017
If $a_{n+1}/a_n\to\ell$ show $a_n^{1/n}\to\ell$