Finding all integers $n$ such that $\left(\mathbb{Z}/n\mathbb{Z}\right)^\times$ has exponent $2$
40131
If n is such that every element $(\mathbb{Z}/n\mathbb{Z})^{\times}$ is a root of $x^2-1$. Prove that $n$ divides 24.
136274
$n! \leq \left( \frac{n+1}{2} \right)^n$ via induction
86219
Integers of the form $x^2-ny^2$
75373
Show that $2^n>n$ for $n\in \mathbb{N}$
8504
Factoring $x^n + y^n$ over the integers
11867
Prove by induction that $n < 2^n$ for all $n \ge 1$
93703
Groups of units of $\mathbb{Z}\left[\frac{1+\sqrt{-3}}{2}\right]$
74044
Find all subgroups of $\mathbb{Z}\times\mathbb{Z}$.
59535
Prove that there exists such a set of $n$ positive integers
92583
Prove that $N(\gamma) = 1$ if, and only if, $\gamma$ is a unit in the ring $\mathbb{Z}[\sqrt{n}]$
137186
Let G be $\mathbb Z_p\times\dots\times \mathbb Z_p$ . Find A(G).
35034
Multiplicative inverses for $Z_n$
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
34017
Show that $n^{\pi\left(2n\right)-\pi\left(n\right)}2$
60665
Meaning of $\mathbb{Z}\left[\sqrt{3}\right]$?
31380
Exponent and abelian groups
123482
How to compute $\mathbb{Z}_n^*$, the unit group of the integers modulo $n$?