I think I posted this in the wrong forum before. Let's try again.(adsbygoogle = window.adsbygoogle || []).push({});

I need to prove that the equation

[itex]x^3 + y^3 = 3z^3[/itex]

has no integer solutions. I can do it easily for all cases except where z has a factor of 3, in which case I don't know what to do.

I am assuming the 3 in front of the z term is supposed to make this easier somehow than the same equation without it, but I'm failing to see the simplification that this allows.

Anyone know?

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# A diophantine equation

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