New posts in Diophantine Equations

Find all possible positive integers $x$ and $y$ such that the equation: $(x+y)(x-y)=\frac{(y+1)(y-1)}{24}$ is satisfied.

Does $a^2 + b^2 = 2 c^2$ have any integer solution?

What is the best way to denote a set of solutions in a professional setting?

Properties of three terms of a geometric series

$a+b+c=x+y+z$ and $abc=xyz$ , in which each two of them unequal.

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

Solve the Diophantine Equation $x^2 + 7 = y^5$.

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

The set of differences of square rationals

Find all positive integers $x, y, z$ so that $(x+2y)(y+2z)(z+2x)$ is equal to prime power