Rational Diophantine sextuples with strong pair

Andrej Dujella, Matija Kazalicki, Vinko Petričević

A set of $m$ distinct nonzero rationals $\{a_1,a_2,\dots ,a_m\}$ such that $a_i{a}_j+1$ is a perfect square for all $1\le i<j\le m$, is called a rational Diophantine $m$-tuple.…