Problem 142
24 February 2007
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.
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.