Integer solutions of $x^3+y^3=z^2$ Is there any integer solution other than $(x,y,z)=(1,2,3)$ for $x^3+y^3=z^2$?

Well you can and draw another formula.  $x^3+y^3=z^2$
$x=(b^2-a^2)(b^2+2ba-2a^2)c^2$
$y=(b^2-a^2)(2b^2-2ab-a^2)c^2$
$z=3(b^2-a^2)^2(a^2-ab+b^2)c^3$
The most interesting thing there is that the formula that led, like should not give mutually simple solutions, but after sokrasheniya on common divisor can be obtained and are relatively prime solutions. This means that the formula itself describes as relatively prime so no. Coprime solutions - there are private solutions.
