Geodesic
THE EXPONENTIAL DIOPHANTINE EQUATION nx + (n + 1)y = (n + 2)z REVISITED
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 659-667

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Let n be a positive integer. In this paper, we consider the diophantine equationWe prove that this equation has only the positive integer solutions (n, x, y, z) = (1, t, 1, 1), (1, t, 3, 2), (3, 2, 2, 2). Therefore we extend the work done by Leszczyński (Wiadom. Mat., vol. 3, 1959, pp. 37–39) and Makowski (Wiadom. Mat., vol. 9, 1967, pp. 221–224).
DOI : 10.1017/S0017089509990073
Mots-clés : Primary 11D61, secondary 11B39, 11J86 
HE, BO; TOGBÉ, ALAIN. THE EXPONENTIAL DIOPHANTINE EQUATION nx + (n + 1)y = (n + 2)z REVISITED. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 659-667. doi: 10.1017/S0017089509990073
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