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A Pythagorean triplet is a set of three natural numbers, a < b < c, for which a^2 +b^2 = c^2 For example, 3^2 +
A Pythagorean triplet is a set of three natural numbers, a < b < c, for which a^2 +b^2 = c^2 For example, 3^2 + 4^2 = 5^2 and therefore (3, 4, 5) is a Pythagorean triplet. Consider (5,0,8,9)as a number. How many Pythagorean triplets are there? What is the maximum of a b c for your triplets
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