Is there any number which is a perfect square of some number as well as factorial of some number.
8034
Can $n!$ be a perfect square when $n$ is an integer greater than $1$?
152643
$(xy + 1)(yz + 1)(zx + 1) $ is a perfect square if and only if each factor is
69264
Is there an irrational number $a$ such that $a^a$ is rational?
130499
How can $p^{q+1}+q^{p+1}$ be a perfect square?
114810
$n!$ is never a perfect square if $n\geq2$. Is there a proof of this that doesn't use Chebyshev's theorem?
67356
When is $2^x+3^y$ a perfect square?
65581
$m$ is a perfect square iff $m$ has an odd number of divisors?
63182
For every $n \ge 1$ there exist uniquely determined integers $a \gt 0$ and $b \gt 0$ such that $n = a^2b$ where $b$ is square-free.
48787
A number is a perfect square if and only if it has odd number of positive divisors
54030
Square and square root and negative numbers
134
Prove that the expression is a perfect square
31436
Show that for all $a\in\mathbb{N}$, there exists $b\in\mathbb{N}$ and square-free integer $c$ such that $\sqrt{a}=b\sqrt{c}$.
109305
Non-existence of natural numbers such that $\sqrt{n} +\sqrt{n+1} <\sqrt{x} +\sqrt{y} <\sqrt{4n+2}$
21898
Find all primes $p$ such that $ p^3-4p+9 $ is a perfect square.
135212
The square of an integer has form $3n$ or $3n+1$
118538
Find all integers $x$ such that $x^2+3x+24$ is a perfect square.
27387
Show that $a+b+c=0$ implies that $32(a^4+b^4+c^4)$ is a perfect square.