Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 223-224
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A. V. Tolstikov. A remark on Fermat's last theorem. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 223-224. http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a12/
@article{ZNSL_1977_67_a12,
author = {A. V. Tolstikov},
title = {A remark on {Fermat's} last theorem},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {223--224},
year = {1977},
volume = {67},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a12/}
}
TY - JOUR
AU - A. V. Tolstikov
TI - A remark on Fermat's last theorem
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 223
EP - 224
VL - 67
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a12/
LA - ru
ID - ZNSL_1977_67_a12
ER -
%0 Journal Article
%A A. V. Tolstikov
%T A remark on Fermat's last theorem
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 223-224
%V 67
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a12/
%G ru
%F ZNSL_1977_67_a12
It is proved that the equation $x^p+y^p+z^p=0$, $(xyz,p)=1$ has no solutions in rational integers $x$, $y$, $z$ for all odd prime numbers $p$ for which $q=pk+1$ is a prime number, $k\leqslant82$, $k\not\equiv0$$(\operatorname{mod}3)$.