Solution of the Diophantine equation 22x+40y=z2
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Sudhanshu Aggarwal1,† and Lalit Mohan Upadhyaya2
Bull. Pure Appl. Sci. Sect. E Math. Stat.
42E(2), 122–125 (2023)
e-ISSN:2320-3226, Print ISSN:0970-6577
DOI: 10.48165/bpas.2023.42E.2.3
Description
Description
Sudhanshu Aggarwal1,† and Lalit Mohan Upadhyaya2
1. Department of Mathematics, National Post Graduate College,
Barhalganj, Gorakhpur, Uttar Pradesh-273402, India.
2. Department of Mathematics, Municipal Post Graduate College,
Mussoorie, Dehradun, Uttarakhand -248179, India.
1. E-mail: sudhanshu30187@gmail.com
2. E-mail: lmupadhyaya@rediffmail.com , hetchres@gmail.com
∗ Communicated, edited and typeset in Latex by Jyotindra C. Prajapati (Editor).
Received January 28, 2023 / Revised November 19, 2023 / Accepted November 24, 2023. Online First
Published on December 25, 2023 at https://www.bpasjournals.com/.
†Corresponding author Sudhanshu Aggarwal, E-mail: sudhanshu30187@gmail.com
Abstract
Since Diophantine equations play an important role in solving important
real-world problems such as business investment problems, network flow problems, pole placement problems, and data privacy problems, researchers are increasingly interested in developing new techniques for analyzing the nature and solutions of the various Diophantine
equations. In this study we investigate the Diophantine problem 22x+40y = z2, where x, y, z are non-negative integers, and discover that it does not have a non-negative integer solution.
Key words Catalan’s Conjecture, Diophantine Equation, Solution.
2020 Mathematics Subject Classification 11D61.
