The sum or difference of any pair of the numbers {150568, 420968, 434657} is a square:

420968 + 150568 = 756²
420968 – 150568 = 520²
434657 + 420968 = 925²
434657 – 420968 = 117²
434657 + 150568 = 765²
434657 – 150568 = 533²