FLT form-페르마의 마지막정리 순서쌍 기본형태 (Korean)

We derived that (X,Y,Z)=(Z-R^n, Z-L^n, Z).And then we can derive that X+Y=G^n, so (X,Y,Z)= (1/2)*(G^n-R^n+L^n, G^n+R^n-L^n, G^n+R^n+L^n)in case i), (X,Y,Z)= (odd, odd, even) it is contradiction. Because (odd+odd)/2 and (odd-odd)/2 cannot odd at the same time.Therefore i) is contradiction and I am finding the reason that case ii) is impossible.I publish it by Korean but I will translate it in English later. Thank you for reading.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-08
DOI
https://doi.org/10.5281/zenodo.15618368
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

FLT form-페르마의 마지막정리 순서쌍 기본형태 (Korean)

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
article

FLT form-페르마의 마지막정리 순서쌍 기본형태 (Korean)

article en

Abstract

We derived that (X,Y,Z)=(Z-R^n, Z-L^n, Z).And then we can derive that X+Y=G^n, so (X,Y,Z)= (1/2)*(G^n-R^n+L^n, G^n+R^n-L^n, G^n+R^n+L^n)in case i), (X,Y,Z)= (odd, odd, even) it is contradiction. Because (odd+odd)/2 and (odd-odd)/2 cannot odd at the same time.Therefore i) is contradiction and I am finding the reason that case ii) is impossible.I publish it by Korean but I will translate it in English later. Thank you for reading.

Zenodo (CERN European Organization for Nuclear Research)
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FLT form-페르마의 마지막정리 순서쌍 기본형태 (Korean) · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS