194. Two Cubes. "Could you find," asked Professor Rackbrain, "two consecutive cubes, the difference between which is a perfect square? For example, $3^{3}=27$, and $2^{3}=8$, but their difference (19) is not a perfect square."

What is the smallest possible solution?
194. \(7^{3}=343,8^{3}=512,512-343=169=13^{2}\).