A Note on an OpenProblem by B. Sroysang

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Published: Sep 25, 2013
Keywords:
Exponential Diophantine equation integral solutions

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Julius Fergy T. Rabago
Department of Mathematics and Physics College of Arts and Sciences, Central Luzon State University

Abstract

In this short note, we answer an open problem posed by B. Sroysang [1]. That is, we show that the only solutions (x; y; z) in non-negative integers to the Diophantine equation 2x + 31y = z2 are (3; 0; 3) and (7; 2; 33):


Mathematics Subject Classication: 11D61.

Article Details

How to Cite
1.
Rabago JFT. A Note on an OpenProblem by B. Sroysang. Prog Appl Sci Tech. [Internet]. 2013 Sep. 25 [cited 2024 Apr. 30];3(1):41-3. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/243242
Issue
Vol. 3 No. 1 (2013): January - June 2013
Section
Information and Communications Technology

References

B. Sroysang, On the Diophantine Equation 31x + 32y = z2, International Journal of Pure and Applied Mathematics, 81, 2012, no. 4, 609-612.

B. Sroysang, More on the Diophantine Equation 8x + 19y = z2, International Journal of Pure and Applied Mathematics, 81, 2012, no. 4, 601-604.

J. F. T. Rabago, On an Open Problem by B. Sroysang, Konuralp Journal of Mathematics, 2013, to appear.

B. Sroysang, On the Diophantine Equation 3x + 5y = z2, International Journal of Pure and Applied Mathematics, 81, 2012, no. 4, 605-608.

A. Suvarnamani, A. Singta, S. Chotchaisthit, On two Diophantine Equations 4x +7y = z2 and 4x + 11y = z2, Sci. Technol. RMUTT J., 1, 2011, 25-28.

P. Mihailescu, Primary cycolotomic units and a proof of Catalan's conjecture, J.Reine Angew. Math., 27, 2004, 167-195.