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## 'Pair Squares' printed from http://nrich.maths.org/

The numbers $2$, $34$ and $47$ are such that the sum of any pair
of these numbers is a perfect square. Find a method for choosing
three square numbers and from them finding a corresponding set of
three integers with this property and give some examples.

The integers $-208$, $224$, $352$ and $737$ also have the
property that the sum of any pair of these numbers is a perfect
square. Find other sets of four integers with this property.