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Saudi Arabia Contests
Saudi Arabia GMO TST
2014 Saudi Arabia GMO TST
1
5^a + 3^b - 2^c = 32
5^a + 3^b - 2^c = 32
Source: 2014 Saudi Arabia GMO TST III p1
July 26, 2020
number theory
Diophantine equation
diophantine
Problem Statement
Find all ordered triples
(
a
,
b
,
c
)
(a,b, c)
(
a
,
b
,
c
)
of positive integers which satisfy
5
a
+
3
b
ā
2
c
=
32
5^a + 3^b - 2^c = 32
5
a
+
3
b
ā
2
c
=
32
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