On the exponential Diophantine equation mx
+(m+1)
y
=(1+m+m
2)
z
2021 ◽
Vol 29
(3)
◽
pp. 23-32
Keyword(s):
Abstract Let m > 1 be a positive integer. We show that the exponential Diophantine equation mx + (m + 1) y = (1 + m + m 2) z has only the positive integer solution (x, y, z) = (2, 1, 1) when m ≥ 2.
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