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.
References
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Tadee, S. (2025). On the Diophantine equation 1/w + 1/x + 1/y + 1/z = u/(u+1). Progress in Applied Science and Technology,15(1),1-5 https://doi.org/10.60101/past.2025.257129
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