Abstract
Let $A$ and $B$ be distinct positive integers. It is known that any positive solution of the simultaneous Pell equations $x^2-Ay^2=1$ and $z^2-By^2=1$ gives rise to a positive solution of the simultaneous Pell equations $x^2-(m^2-1)y^2=1$ and $z^2-(n^2-1)
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