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arXiv · 1202.3808

Theorematum quorundam arithmeticorum demonstrationes

Leonhard Euler·Artur Diener·Alexander Aycock
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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.

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Leonhard Euler, Artur Diener, Alexander Aycock. 2012-02-16. Theorematum quorundam arithmeticorum demonstrationes. https://arxiv.org/abs/1202.3808

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