14
$\begingroup$

I am investigating solutions to Fermat's equation $x^n + y^n = z^n$ with $x,y,z$ in the Gaussian integers, excluding integers and pure imaginaries.

I have found out that there are only trivial solutions for the $n=3$ and $n=4$ cases, e.g. here.

I would be grateful if you let me know of the current status or if it is already a theorem.

  • 3
    This question has been answered on the bigger sister site.2012-03-14

1 Answers 1

3

As mentioned above in the comments, the question has been answered on MathOverflow: it's still an open problem.

(This answer is community wiki so that it won't generate any reputation.)