ON AN OPEN PROBLEM BY B. SROYSANG

Year 2013, Volume: 1 Issue: 2, 30 - 32, 01.12.2013

Julius Fergy T. Rabago

https://izlik.org/JA52TT93US

Abstract

In this short note, we answer an open problem posed by B. Sroysang[1]. More precisely, we find all solutions of the Diophantine equation 8x+17y=zwhere x, y and z are non-negative integers

Keywords

Exponential Diophantine equation , integer solutions

References

• Sroysang, B., More on the Diophantine Equation 8x+ 19y= z2, Int. J. of Pure App. Math. Vol:81, No.4 (2012), 601-604.
• Peker, B., Cenberci, S., On the Diophantine equations of (2n)x+ py= z2type, Amer. J. Math. Sci. Vol:1, (2012), 195-199.
• Mihailescu, P., Primary cycolotomic units and a proof of Catalan’s conjecture, J. Reine Angew. Math. Vol:27, (2004), 167-195. Central Luzon State University, College of Arts and Sciences, Department of
• Mathematics and Physics, Science City of Mu˜noz 3120, Nueva Ecija, Philippines E-mail address: julius [e-mail]