By a Pythagorean triple, we call a triple of positive integers a, b, c such that a^2 +b^2 = c^2 and the integers a, b, c do not

Question

By a Pythagorean triple, we call a triple of positive integers a, b, c such that a^2 +b^2 = c^2 and the integers a, b, c do not have a common prime factor. Using a formula for the stereographic projection find a Pythagorean triple a, b, c such that the product abc is divisible by 200.

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