
05677079
j
2010b.00387
Moln\'ar, Istv\'an
On the equation $x^{n}+y^{n}=z^{n}$. (Az $x^{n}+y^{n}=z^{n}$ egyenletr\H ol.)
Mat. Tan. 17, No. 1, 39 (2009).
2009
,
HU
F64
FermatWiles theorem
Pythagorean number triples
divisibility rules
This article shows using the FermatWiles theorem that the equation $x^{n}+y^{n}=z^{n}$ has solution in integer numbers only the case $n = 1$ and $n = 2$ (same as the Fermat theorem). The method of the proof is elementary except of a reference to FermatWiles theorem. It can be handled by talented pupils in secondary schools as well.
\"Od\"on Vancs\'o (Budapest)