New posts in Square Numbers

To find all integers n such that the given expression is a perfect square

Proof: not a perfect square

Which positive integers $a$ and $b$ make $(ab)^2-4(a+b) $ a square of an integer?

Is it possible that $2^{2A}+2^{2B}$ is a square number?

Square equal to sum of three squares

Find all positive integers $n$ for which $1372n^4 - 3 $ is an odd perfect square.

Prove that $A^2=a_1^2+a_2^2-a_3^2-a_4^2$ for all integers $A$.

A generalization of the (in)famous IMO 1988 problem 6: If $\frac{a^2 + b^2 - abc}{ab + 1}$ is a positive integer then it is a square.

Find all integers $m,\ n$ such that $m^2+4n$ and $n^2+4m$ are both squares.

Why is $\underbrace{444\dots44}_{2n} + \underbrace{888\dots88}_{n} + 4$ never a perfect square?