perplexus.info :: Just Math : Three squares imply the fourth

Three squares imply the fourth (Posted on 2018-03-18)

Show that if x,y,z are positive integers, then (xy+1)(yz+1)(zx+1) is a perfect square if and only if xy+1,yz+1,zx+1 are all perfect squares.

Source: the probem posed and resolved by Euler.

No Solution Yet Submitted by Ady TZIDON

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