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\displaystyle \frac{1}{1} + \frac{1}{3} = \frac{4}{3} , \hspace5 4^2 + 3^2 = 5^2 \\ \frac{1}{3} + \frac{1}{5} = \frac{8}{15}, \hspace5 8^2 + 15^2 = 17^2 \\ \frac{1}{5} + \frac{1}{7} = \frac{12}{35}, \hspace5 12^2 + 35^2 = 37^2
\displaystyle \frac{1}{1} + \frac{1}{3} = \frac{4}{3} , \hspace5 4^2 + 3^2 = 5^2 \\ \frac{1}{3} + \frac{1}{5} = \frac{8}{15}, \hspace5 8^2 + 15^2 = 17^2 \\ \frac{1}{5} + \frac{1}{7} = \frac{12}{35}, 12^2 + 35^2 = 37^2
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