>>285-288

1) On language/translation

You wrote: “兎に角日本語訳を読んでも理解できるような内容ではない。”

My comments were written in English. If the machine translation is unclear, please refer to the English text. Translation quality is not a mathematical objection.

2) On “removing common prime factors”

You wrote: “もし共通素因数が存在するのであれば、その値で式を割ってしまって共通素因数をなくすことができる。”

Dividing by a common factor justifies assuming (gcd(x,y,z)=1) (a primitive solution). It does not justify assuming pairwise coprimality, and it does not justify claims of the form “if two of (x,y,z) share a prime then the third must also share it” without proof.

So please state precisely what you are assuming:

- only (gcd(x,y,z)=1), or
- also (gcd(x,y)=gcd(y,z)=gcd(z,x)=1), or something else,

and cite the exact passage (equation/paragraph) where this is proved or established.

3) On steps like writing (b=c^n)

You replied: “下らないレスをすることで、証明をこのスレに書かせようとするのがお前の目的か。”

That is not what I am asking. The question is specific: if your proof at any point writes an integer in the form (b=c^n), where do you prove that (b) is an (n)-th power of an integer? Please provide the exact line(s) where you establish this (or the lemma you invoke, with its hypotheses verified).

If you provide the exact citations in your text for these steps, I can address them point-by-point.