Perfect Square Collection
Problem 142
Published on Saturday, 24th February 2007, 01:00 am; Solved by 2898Find the smallest x + y + z with integers x 
y z 0 such that x + y, x 
y, x + z, x z, y + z, y z are all perfect squares.
Find the smallest x + y + z with integers x y z 0 such that x + y, x y, x + z, x z, y + z, y z are all perfect squares.