Diophantine equations and recurrence sequences
Posted by Senna, at math.stackexchange.com,
I was working on the diophantine equation $7x^2+y^2=2^n$ for each natural $n\geq 3$. I proved by induction that $(x_n,y_n)$ is…
I was working on the diophantine equation $7x^2+y^2=2^n$ for each natural $n\geq 3$. I proved by induction that $(x_n,y_n)$ is…
We know that $2^4 = 4^2$ and $(-2)^{-4} = (-4)^{-2}$. Is there another pair of integers $x, y$ ($x\neq y$) which satisfies the…