perplexus.info :: Just Math : Many triplets

Many triplets (Posted on 2010-05-10)

Prove that the equation x^2+y^2=z^5 has an infinite number of positive integer solutions.

No Solution Yet Submitted by Ady TZIDON

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Comment 7 of 7 |

x=y=2^(5k+2), z=2^(2k+1), gives a parametric solution, corresponding to k.

Posted by K Sengupta on 2024-07-04 10:31:31

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