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Catalan's conjecture
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Mathematics
Fields of mathematics
Number theory
Diophantine equations
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Catalan's conjecture
, also known
as
Mihăilescu'
s
theorem
, states that the only solution in positive
integers
to the
equation
\(
x
^
a
-
y
^
b
=
1 \)
, where \(
a
\) and \(
b
\) are
integers
greater than
1
, is the pair \( (
3
,
2
) \) for the values \( (
x
,
y
) \) and \( (
a
,
b
) = (
3
,
2) \)
.
Ancestors
(5)
Diophantine equations
Number theory
Fields of mathematics
Mathematics
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