A note on the diophantine equation x2 = y2 + 3z2 | Zendy

Abdullah Al Kafi Majumdar | Zendy; Abul Kalam Ziauddin Ahmed | Zendy

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A note on the diophantine equation x2 = y2 + 3z2

Author(s) -

Abdullah Al Kafi Majumdar,

Abul Kalam Ziauddin Ahmed

Publication year - 2021

Publication title -

journal of bangladesh academy of sciences

Language(s) - English

Resource type - Journals

eISSN - 2224-7270

pISSN - 0378-8121

DOI - 10.3329/jbas.v44i2.51464

Subject(s) - diophantine equation , integer (computer science) , degree (music) , prime (order theory) , physics , mathematics , combinatorics , computer science , acoustics , programming language

In the study of 60-degree and 120-degree triangles, one encounters the Diophantine equations of the form x2 = y2 + 3z2. This paper considers the characteristics of the solution of the Diophantine equation. More specifically, it is shown that the equation has solutions of the form x= p = 3n + 1 for some integer n (>0), where p is a prime with 7£ p £199. Journal of Bangladesh Academy of Sciences, Vol. 44, No. 2, 201-205, 2020

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