Positive integers $n$ so that $n^2$ divides $2^n+1$.
19254
How many rationals of the form $\large \frac{2^n+1}{n^2}$ are integers?
25338
Sum of $n$ integers from set of size $2n-1$ divides $n$
157186
Finding integers satisfying $m^2 - n^2 = 1111$
80144
Prove that $x-1$ divides $x^n-1$
8504
Factoring $x^n + y^n$ over the integers
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.
31890
Prove using induction that from a set of $n+1$ numbers from $\{1,2,..2n\}$, at least one number will evenly divide another.
142992
Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$
45645
Using permutation or otherwise, prove that $\frac{(n^2)!}{(n!)^n}$ is an integer,where $n$ is a positive integer.
59535
Prove that there exists such a set of $n$ positive integers
44906
Use induction to prove that $2^n$ divides $(2n)!$ for any $n\in\mathbb{Z}_{\geq0}.$
100305
Prove $2^n-1$ is divisible by $(2^m-1)^2$ iff...
50670
Use Mathematical Induction to prove 6 divides $n(n+1)(2n+1)$
130093
Prove by Induction : $n < 2^n$
19500
How can I find $\gcd(a^m+1,a^n+1)$ with $a,m,n$ positive integers?
50927
If $m,n\in N$ Prove that there is such a positive integer k, such that $(\sqrt{m}+\sqrt{m+1})^n=\sqrt{k}+\sqrt{k+1}$
5287
Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$