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Finding the Square of a Number - Pythagorean Triplets

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Consider the following:
`3^2 + 4^2 = 9 + 16 = 25 = 5^2` 
The collection of numbers 3, 4 and 5 is known as Pythagorean triplet.
For any natural number m > 1, 
we have `(2m)^2 + (m^2 – 1)^2 = (m^2 + 1)^2`.
So, `2m, m^2 – 1` and `m^2 + 1` forms a Pythagorean triplet. 

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