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Let

,

,

be three arbitrary complex numbers. Set

,

,

,

,

,

,

,

,

.

Then we have

and

.

We get a Diophantine equation when

,

and

are integers.

For example:

and

,

and

.

Contributed by: Minh Trinh Xuan

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abc Conjecture (Wolfram Demonstrations Project)

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A Four-Power Diophantine Equation (Wolfram Demonstrations Project)

Minh Trinh Xuan

"A Two-Power Diophantine Identity"
http://demonstrations.wolfram.com/ATwoPowerDiophantineIdentity/
Wolfram Demonstrations Project
Published: January 4, 2023

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