The two square numbers that have a difference of 19 are 25 and 6. Specifically, (5^2 = 25) and (4^2 = 16). The difference between these two squares is (25 - 16 = 9), which is not correct. The correct pairs are (16) (from (4^2)) and (35) (the square root of 35 is not an integer). Hence, the correct square numbers are (25) and (6).
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