Determine all possible triplet(s) (x,y,z) of positive rational numbers, with x ≥ y ≥ z, such that each of x + (yz)^-1, y + (zx)^-1 and, z + (xy)^-1 is an integer.

(In reply to computer exploration by Charlie)

Extending the total of numerators plus denominators through 134 doesn't provide any further solutions.

Posted by Charlie on 2009-03-06 18:54:27