A set of m distinct nonzero rationals ₁, a₂,…, aₘ\ such that aᵢ aⱼ+1 is a perfect square for all 1≤ i <j ≤ m, is called a rational Diophantine m-tuple. If in addition, aᵢ²+1 is a perfect square for 1≤ i≤ m, then we say the m-tuple is strong. In this paper, we construct infinite families of rational Diophantine sextuples containing a strong Diophantine pair.
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Dujella et al. (2024) studied this question.
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