International Journal of Mathematics Trends and Technology
Volume 71 | Issue 5 | Year 2025 | Article Id. IJMTT-V71I5P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I5P103
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 20 Mar 2025 | 25 Apr 2025 | 14 May 2025 | 27 May 2025 |
In this paper, the Diophantine equations (𝑥1𝑥2𝑥3…6)𝑥 +(𝑦1𝑦2𝑦3…1)𝑦 = 𝑧2 and (𝑥1𝑥2𝑥3…4)2𝑥 + (𝑦1𝑦2𝑦3 …2)5𝑦 = 𝑧2 have been discussed for positive integer solutions. Here 𝑥1,𝑥2,𝑥3 … and 𝑦1,𝑦2,𝑦3 … are digits 0, 1, 2,…9.
Exponential, Diophantine equation and integral solution.
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Smiti Aggarwal, Meenakshi Panchal, "On the Diophantine Equations (𝑥1𝑥2𝑥3 …6)𝑥 + (𝑦1𝑦2𝑦3 …1)𝑦 = 𝑧2 and (𝑥1𝑥2𝑥3…4)2𝑥 + (𝑦1𝑦2𝑦3 …2)5𝑦 = 𝑧2," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 5, pp. 18-20, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I5P103
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