Theorematum quorundam arithmeticorum demonstrationes

Details Theorematum quorundam arithmeticorum demonstrationes Theorematum quorundam arithmeticorum demonstrationes

2012-02-16

arxiv.org/abs/1202.3808v1

Mathematics

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Scientific paper

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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