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Diophantine Equations with Powers of Two or Four for Thirteen Variable Sets
Let
,
,
be three arbitrary complex numbers.
Set
,
,
,
,
,
,
,
,
,
,
,
,
and
,
,
,
,
,
,
,
,
,
,
,
,
.
Then for
,
.
If
,
,
are integers, we get a Diophantine equation.
For example,
Contributed by:
Minh Trinh Xuan
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A Five-Power Diophantine Equation
(
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)
abc Conjecture
(
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)
Coincidences in Powers of Integers
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PERMANENT CITATION
Minh Trinh Xuan
"
Diophantine Equations with Powers of Two or Four for Thirteen Variable Sets
"
http://demonstrations.wolfram.com/DiophantineEquationsWithPowersOfTwoOrFourForThirteenVariable/
Wolfram Demonstrations Project
Published: June 9, 2022
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