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A Two-Power Diophantine Identity
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
(
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)
Coincidences in Powers of Integers
(
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)
Diophantine Equation
(
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Seven Points with Integral Distances
(
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Simultaneous Diophantine Equations for Powers 1, 2, 4 and 6
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A Four-Power Diophantine Equation
(
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)
PERMANENT CITATION
Minh Trinh Xuan
"
A Two-Power Diophantine Identity
"
http://demonstrations.wolfram.com/ATwoPowerDiophantineIdentity/
Wolfram Demonstrations Project
Published: January 4, 2023
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