Find integers $0 < u < v$ that do not have a common factor, yet the pythagoran triple $(u^2-v^2, 2uv, v^2 + u^2)$ is not primitive.
Before any major assistance I am just trying to understand the question. Is it saying that even though $u$ and $v$ do not have a common factor, if put into the "formulas" for a Pythagorean triple then they would end up having a common factor thus making the Pythagorean triple not primitive?