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On the Diophantine Equations (𝑥1𝑥2𝑥3 …6)𝑥 + (𝑦1𝑦2𝑦3 …1)𝑦 = 𝑧2 and (𝑥1𝑥2𝑥3…4)2𝑥 + (𝑦1𝑦2𝑦3 …2)5𝑦 = 𝑧2

Year: 2025

Type: article

Abstract: 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.

Source: International Journal of Mathematics Trends and Technology

DOI: 10.14445/22315373/ijmtt-v71i5p103

Authors: Smiti Aggarwal, Meenakshi Panchal

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4411240750

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