New posts in Diophantine Equations

Prove that there are no integer solutions to $x\left(y^{2}-1\right)=y\left(2+\frac{1}{x}\right)$

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

Proving that the Diophantine equation $(11a + 5b)^2 - 223b^2 = \pm 11$ has no solutions

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

calculate the Integer solutions of an equation

Find all $x,y$ such that $x^3+5y^3=(a^3+5b^3)^3$.

Integer solutions of $2a+2b-ab\gt 0$

What are all possible positive integers $k$ such that $k=\frac{a^2+b^2+c^2}{bc+ca+ab}$ for some positive integers $a$, $b$, and $c$?

Showing a system of equations has no integer solutions

Solve the following equation in integers $x,y:$ $x^2+6xy+8y^2+3x+6y=2.$