To understand all pythagorean triples like (3, 4, 5), (5, 12, 13), etc. look to complex numbers.
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Regarding the brief reference to Fermat's Last Theorem, what should be emphasized is that it refers to positive integers. You can of course have things like 0^3 + 2^3 = 2^3, or (3)^3 + 3^3 = 0^3.

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