Theorematum quorundam arithmeticorum demonstrationes
History and Overview
2012-02-20 v1
Abstract
Euler proves that the sum of two 4th powers can't be a 4th power and that the difference of two distinct non-zero 4th powers can't be a 4th power and Fermat's theorem that the equation x(x+1)/2=y^4 can only be solved in integers if x=1 and the final theorem y^3+1=x^2 can only be solves for x=3 and y=2 in integers. The paper is translated from Euler's Latin original into German.
Keywords
Cite
@article{arxiv.1202.3808,
title = {Theorematum quorundam arithmeticorum demonstrationes},
author = {Leonhard Euler and Artur Diener and Alexander Aycock},
journal= {arXiv preprint arXiv:1202.3808},
year = {2012}
}