The equation $x/y+y/z+z/x=4$ revisited

The equation $x / y + y / z + z / x = 4$ revisited

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We give an elementary argument to the fact that the equation $x / y + y / z + z / x = 4$ has no positive integer solutions.

Nguyen Xuan Tho, The equation $x / y + y / z + z / x = 4$ revisited. Elem. Math. 78 (2023), no. 4, pp. 168–170