On the exponential Diophantine equation mx+(m+1)y=(1+m+m2)z
Let m > 1 be a positive integer. We show that the exponential Diophantine equation mx + (m + 1)y = (1 + m + m2)z has only the positive integer solution (x, y, z) = (2, 1, 1) when m ≥ 2.
| Published in: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Format: | Article |
| Language: | English |
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Sciendo
2021-11-01
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| Online Access: | https://doi.org/10.2478/auom-2021-0032 |