How to find natural solutions

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nasa

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How to find natural solutions of the equation x ^ 2 + y ^ 2 = z ^ 3?
 
nasa said:
How to find natural solutions of the equation x ^ 2 + y ^ 2 = z ^ 3?
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By "natural", do you mean "natural-number", so the solutions must be positive integers? So you're talking about what is discussed here?

If not, please reply with clarification. Either way, please show your work so far. Thank you! ;)
 
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