Skip to main content
MathOverflow

Return to Question

Post Closed as "Not suitable for this site" by Ilya Bogdanov, GH from MO, R.P., Stefan Kohl♦, user1688
deleted 11 characters in body; edited title
Source Link
T. Amdeberhan
T. Amdeberhan
  • 43.2k
  • 5
  • 57
  • 217

Why is this not a perfect integersquare?

Let $x, y$ and $z$ be positive integers with $x<y$. It appears that the quantityinteger $$(y^2z^3-x)(y^2z^3+3x)$$ is never a perfect square (integer). Why? A proof? I'm not sure if it is easy.

Why is this not a perfect integer?

Let $x, y$ and $z$ be positive integers with $x<y$. It appears that the quantity $$(y^2z^3-x)(y^2z^3+3x)$$ is never a perfect square (integer). Why? A proof? I'm not sure if it is easy.

Why is this not a perfect square?

Let $x, y$ and $z$ be positive integers with $x<y$. It appears that the integer $$(y^2z^3-x)(y^2z^3+3x)$$ is never a perfect square. Why? A proof? I'm not sure if it is easy.

Source Link
T. Amdeberhan
T. Amdeberhan
  • 43.2k
  • 5
  • 57
  • 217

Why is this not a perfect integer?

Let $x, y$ and $z$ be positive integers with $x<y$. It appears that the quantity $$(y^2z^3-x)(y^2z^3+3x)$$ is never a perfect square (integer). Why? A proof? I'm not sure if it is easy.