Find the smallest positive integer $n$ such that $\frac n2$ is a perfect square, $\frac n3$ is a perfect cube and $\frac n5$ is a perfect 5th power.
87666
Find $n$ such that $n/2$ is a square, $n/3$ is a cube, and $n/5$ a fifth power
63383
Integers $n$ for which $|2^n + 5^n – 65|$ is a perfect square
51649
prove there is no smallest positive rational number
8034
Can $n!$ be a perfect square when $n$ is an integer greater than $1$?
107395
If the sum of $n$ cubes is zero, then the sum must be no larger than $\frac n3$.
67356
When is $2^x+3^y$ a perfect square?
86902
Consider the smallest number in each of the $n\choose r$ subsets (of size $r$) of $S=\{1,2,\ldots,n\}$...
152643
$(xy + 1)(yz + 1)(zx + 1) $ is a perfect square if and only if each factor is
112599
What is the smallest value of n such that an algorithm running at 100*n^2 operates faster than 2^n ? [How to figure out without brute force]
53411
Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$
116054
The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer
57736
Minimum value of $\left(a+\frac{1}{b}\right)^2+\left(b+\frac{1}{c}\right)^2+\left(c+\frac{1}{a}\right)^2$
144017
How to find the smallest $n$ such that $n^a\equiv 1 \pmod p$
5692
Proving that there is a perfect square between $n$ and $2n$
46102
Prove that $2^n +1$ in never a perfect cube
114542
Can a number with $100$ $0$'s $100$ $1$'s and $100$ $2$'s ever be a perfect square?
43048
When is $2^n \pm 1$ a perfect power