## Set {a,b,c,d,e} such that the product of any two of them increased by 1 is a square

The set   $\{ \, a, \; b, \; c, \; d, \; e \, \}$   has the property that the product of any two of them plus one is the square of a rational number.

where   $a = 1, 2, 3, 4, ...$

the next solutions are:

Find the next set.