On the Diophantine equations 21^x+4^y=z^2

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Published: Jan 12, 2024
Keywords:
Diophantine equation Prime numbers, Unique solution

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Thanwarat Butsan
Department of Mathematics and Computing Science,Faculty of Science and Technology, Chiang Rai Rajabhat University Chiang Rai Thailand
Nitima Phrommarat
Department of Mathematics,Faculty of Education, Chiang Rai Rajabhat University, Chiang Rai, Thailand
Natthamon Kanchai
Department of Mathematics and Computing Science,Faculty of Science and Technology, Chiang Rai Rajabhat University Chiang Rai Thailand

Abstract

The objective of this work is to study the existence of are non-negative integers  solution of  the diophantine equation 21x+4y=z2 .

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How to Cite
Butsan, T., Phrommarat, N., & Kanchai, N. (2024). On the Diophantine equations 21^x+4^y=z^2 . Journal of KPRU Science Mathematics and Technology, 2(2), 155–160. retrieved from https://ph03.tci-thaijo.org/index.php/smt/article/view/665
Issue
Vol. 2 No. 2 (2023): Journal of KPRU Science Mathematics and Technology
Section
Research Articles
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This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

บทความที่ได้รับการตีพิมพ์เป็นลิขสิทธิ์ของวารสาร มรภ.กพ. วิทยาศาสตร์ คณิตศาสตร์ และเทคโนโลยี

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References

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Sroysang, B. (2014). More on the Diophantine Equation 8^x+59^y=z^2. International Journal of Pure and Applied Mathematics, 91(1), p. 139-142.

Mihilescu, P. (2004). Primary cycolotomic units and a proof of Catalan’s conjecture. Journal für die reine und angewandte Mathematik, 27(2004), p. 167 - 195.