Find all positive integers $n$ such that $n^2$ divides $2^n+1$.
19254
How many rationals of the form $\large \frac{2^n+1}{n^2}$ are integers?
100305
Prove $2^n-1$ is divisible by $(2^m-1)^2$ iff...
155363
Find all integers $(x, y)$ such that $1 + 2^x + 2^{2x + 1} = y^2$
122096
Find $GCD(n^2+1,n+1)$
50927
If $m,n\in N$ Prove that there is such a positive integer k, such that $(\sqrt{m}+\sqrt{m+1})^n=\sqrt{k}+\sqrt{k+1}$
80144
Prove that $x-1$ divides $x^n-1$
148906
Finding integers $m,n$ such that $(m-n)^2=4mn/(m+n-1)$
16660
Prove that any positive number has an $n$th root
110695
Divisor of $2^{2^n} + 1$ modulus $2^{n+1}$
118197
Solve $n(n+1)(n+2)=6m^3$ in positive integers
98443
Find positive integers such that $2n^3 + 5|n^4 +n+1$
40896
What is the largest positive $n$ for which $n^3+100$ is divisible by $n+10$
134121
Determining all the positive integers $n$ such that $n^4+n^3+n^2+n+1$ is a perfect square.
39670
Use Pigeonhole to show of any set of $2^{n+1}-1$ positive integers is possible choose $2^{n}$ elements such that their sum is divisible by $2^{n}$.
59535
Prove that there exists such a set of $n$ positive integers
113248
Proving $r!$ divides the product of r succesive positive integers
112120
Find all primes of the form $2^{2^n} + 5$ for a nonnegative integer n