THE EXPONENTIAL DIOPHANTINE EQUATION nx + (n + 1)y = (n + 2)z REVISITED
2009 ◽
Vol 51
(3)
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pp. 659-667
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Keyword(s):
AbstractLet n be a positive integer. In this paper, we consider the diophantine equation We 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).
2010 ◽
Vol 81
(2)
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pp. 177-185
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Keyword(s):
1970 ◽
Vol 13
(2)
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pp. 255-259
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2015 ◽
Vol 11
(04)
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pp. 1107-1114
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2001 ◽
Vol 64
(1)
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pp. 99-105
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2021 ◽
Vol 27
(3)
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pp. 123-129
1956 ◽
Vol 3
(1)
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pp. 55-56
Keyword(s):
2018 ◽
Vol 14
(05)
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pp. 1223-1228