We define a sequence of squarefree positive integers which arise naturally in the context of the solvability of a family of simultaneous Pell equations. It is proved that, apart from an explicitly given finite subset, each integer in this sequence has at least eight prime factors.
"On a sequence of integers arising from simultaneous Pell equations." Funct. Approx. Comment. Math. 38 (2) 221 - 226, September 2008. https://doi.org/10.7169/facm/1229696540