On two diophantine equations 4x + 7y = z2 and 4x + 11y = z2

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Published: Aug 23, 2011
Keywords:
exponential diophantine equations

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Alongkot Suvarnamani
Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi
Akarate Singta
Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi
Somchit Chotchaisthit
Faculty of Science, Khon Kaen University

Abstract

In this paper, we show that diophantine equations 4x + 7y = z2 and 4x + 11y = z2 have no solution in non-negative integer.


2000 Mathematics Subject Classication : 11D61

Article Details

How to Cite
1.
Suvarnamani A, Singta A, Chotchaisthit S. On two diophantine equations 4x + 7y = z2 and 4x + 11y = z2. Prog Appl Sci Tech. [Internet]. 2011 Aug. 23 [cited 2024 Dec. 27];1(1):25-8. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/243265
Issue
Vol. 1 No. 1 (2011): August
Section
Mathematics and Applied Statistics

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