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N3
a^b=(a+b)^a in NxN
a^b=(a+b)^a in NxN
Source: INAMO Shortlist 2014 N3
July 9, 2019
Diophantine equation
number theory
Exponential equation
Problem Statement
Find all pairs of natural numbers
(
a
,
b
)
(a, b)
(
a
,
b
)
that fulfill
a
b
=
(
a
+
b
)
a
a^b=(a+b)^a
a
b
=
(
a
+
b
)
a
.
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