New posts in Pell Type Equations

Primes in solutions to Pell-type equations

Evaluating $\liminf_{n\to\infty}n\{n\sqrt2\}$

$x^2-(p^4-16)y^2=p^2 \land x \mod (p^2-4) =2 \land x >0 \implies p | x,y$?

Integer solutions of $3^n-1=2m^2$

A System of Simultaneous Pell Equations

First 30 solutions of Pell's equation.

On $\big(\tfrac{1+\sqrt{5}}{2}\big)^{12}=\small 161+72\sqrt{5}$ and $\int_{-1}^1\frac{dx}{\left(1-x^2\right)^{\small3/4} \sqrt[4]{161+72\sqrt{5}\,x}}$

Does the Pell-like equation $X^2-dY^2=k$ have a simple recursion like $X^2-dY^2=1$?

Solving the nonlinear Diophantine equation $x^2-3x=2y^2$

Does this system of simultaneous Pell-like equations have any non-trivial positive integer solutions?