Does $30$ always divide $n^5-n$ where $n \in \mathbb{Z^+}$?
3611
How to prove $n^5 - n$ is divisible by $30$ without reduction
143501
Find all $n\in\mathbb N^+$ such that the sum of the digits of $5^n$ is equal to $2^n$.
8504
Factoring $x^n + y^n$ over the integers
21840
Zero divisors and units for the ring $\mathbb{Z}/n\mathbb{Z}$ with integer $n$
981
If $n^c\in\mathbb N$ for every $n\in\mathbb N$, then $c$ is a non-negative integer?
112575
Finding integer solutions of $m^2-n^5 = m - n$
112191
How can I show $q^k$ does not divide ${{n}\choose{q}}$ when $q$ is a prime factor of $n$ and $k$ is the largest integer such that $q^k$ divides $n$?
136300
{5,15,25,35} is a group under multiplication mod 40
53378
$\max(\{n: n+5 | n^5 + 5\})$
33866
Show that $n$ does not divide $2^n - 1$ where $n$ is an integer greater than $1$?
90806
Find all positive integers $n$ such that $n$ is divisible by all the positive integers less than or equal to $\sqrt{n}$
29874
Not divisible by $2,3$ or $5$ but divisible by $7$
5577
If $m$ divides $n$, find a free resolution of $\mathbb{Z}/m$ as a $\mathbb{Z}/n$-module.
95669
Solutions of $|z| = z^5$ in $\Bbb{C}$?
140144
Can you find an element of order 10 in $\mathbb{Z}_{31}^{*}$
49096
How can I prove $5^{3^n}+1$ is divisible by $3^{n+1}$
121404
How to factor polynomials in $\mathbb{Z}_n$?