Geodesic
A remark on Fermat's last theorem
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 223-224

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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, $k\leqslant82$, $k\not\equiv0$ $(\operatorname{mod}3)$. 
@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},
     publisher = {mathdoc},
     volume = {67},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a12/}
}
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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/