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Jan
29
comment An equation concerning eisenstein integers
well, this proof relies on the study of the factorization of $n^2 = (m^2+1)^k-1$ in the ring of gaussian integers. I don't think that it could be extended as it is "easy" to study the factorization of n^2 but we don't have such an easy case here. The link to the article (sorry, that's in french) : archive.numdam.org/article/NAM_1850_1_9__178_0.pdf
Jan
29
awarded  Editor
Jan
29
revised An equation concerning eisenstein integers
added the definition of j and corrected a false relation that does not change the main equation
Jan
29
awarded  Student
Jan
29
asked An equation concerning eisenstein integers