THE DIOPHANTINE EQUATION (bn) x + (2n) y = ((b + 2)n) z BY MIN TANG (Wuhu) and QUAN-HUI YANG (Nanjing) Abstract. Recently, Miyazaki and Togbé proved that for any fixed odd integer b ≥ 5 with b = 89, the Diophantine equation b x + 2 y = (b + 2) z has only the solution (x, y, z) = (1, 1, 1). We give an extension of this result.
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