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India Pre-Regional Mathematical Olympiad
2019 India PRMO
11
Easy SFFT
Easy SFFT
Source: PRMO 2019 Leg 2 P11
August 25, 2019
algebra
PRMO
SFFT
Problem Statement
Find the largest value of
a
b
a^b
a
b
such that the positive integers
a
,
b
>
1
a,b>1
a
,
b
>
1
satisfy
a
b
b
a
+
a
b
+
b
a
=
5329
a^bb^a+a^b+b^a=5329
a
b
b
a
+
a
b
+
b
a
=
5329
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