SOLUTIONS OF THE DIOPHANTINE EQUATION xy+yz+zx=n!
Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 217-232
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We prove that the only solutions in coprime positive integers to the equationare (x, y, z)=(n!–2, 1, 1, n), n≥3.
(BUCHAREST), MIHAI CIPU; (MORELIA), FLORIAN LUCA; (STRASBOURG), MAURICE MIGNOTTE. SOLUTIONS OF THE DIOPHANTINE EQUATION xy+yz+zx=n!. Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 217-232. doi: 10.1017/S0017089508004163
@article{10_1017_S0017089508004163,
author = {(BUCHAREST), MIHAI CIPU and (MORELIA), FLORIAN LUCA and (STRASBOURG), MAURICE MIGNOTTE},
title = {SOLUTIONS {OF} {THE} {DIOPHANTINE} {EQUATION} xy+yz+zx=n!},
journal = {Glasgow mathematical journal},
pages = {217--232},
year = {2008},
volume = {50},
number = {2},
doi = {10.1017/S0017089508004163},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004163/}
}
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