All positive integer solutions of the Diophantine equation 1/w+1/x+1/y+1/z=1/2
Keywords:
Diophantine Equation, Positive Integer SolutionAbstract
In 2018, Bai studied and found all positive integer solutions of the Diophantine equation , where
and
are positive integers such that
. However, it was later found that the solutions were incomplete. In this research, we proceeded to find all positive integer solutions
of the equation and there was a total of 108 solutions.
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2025-10-10
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1.
Tadee S, Kaewsod S, Lawantha S, Yiamras A. All positive integer solutions of the Diophantine equation 1/w+1/x+1/y+1/z=1/2. Acad. J. Sci. Appl. Sci. [internet]. 2025 Oct. 10 [cited 2026 Jan. 15];9(18):e3795. available from: https://ph03.tci-thaijo.org/index.php/ajsas/article/view/3795
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