International Journal of Mathematics and Computer Science
Volume
20
Issue
1
Start Page
41
End Page
43
Rights Holder(s)
SCOPUS
Bibliographic Citation
International Journal of Mathematics and Computer Science Vol.20 No.1 (2025) , 41-43
Suggested Citation
Panraksa C. A Note on the Exponential Diophantine Equation 8<sup>x</sup> + 161<sup>y</sup> = z<sup>2</sup>. International Journal of Mathematics and Computer Science Vol.20 No.1 (2025) , 41-43. 43. doi:10.69793/ijmcs/01.2025/panraksa Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/102789
Title
A Note on the Exponential Diophantine Equation 8<sup>x</sup> + 161<sup>y</sup> = z<sup>2</sup>
In this note, we revisit the exponential Diophantine equation 8x + 161y = z2, initially studied by Manikandan and Venkatraman. Their work established that the equation has the two non-negative integer solutions: (1, 0, 3) and (1, 1, 13). Our findings reveal an additional solution, (2, 1, 15), and we show that these three solutions constitute the complete list of non-negative integer solutions for this equation. This extends and completes the main result presented in their paper.
