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Sep 11, 2014 at 7:49 comment added Y. Zhao Hmm. It is indeed a neat example for the failure in other directions. Perhaps geometry plays an important role in it.
Sep 10, 2014 at 12:30 comment added individ Why didn't you write the solution of the equation $x^2+y^2+z^4=p^2$ ? Seeing the formula easier to explore the equation:
Sep 10, 2014 at 12:14 history answered Jan-Christoph Schlage-Puchta CC BY-SA 3.0