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2024 Azerbaijan National Mathematical Olympiad
3
a^12+3^b=1788^c
a^12+3^b=1788^c
Source: Azerbaijan NMO 2024. Junior P3
July 8, 2024
number theory
AZE JUNIOR NATIONAL MO
Problem Statement
Find all the natural numbers
a
,
b
,
c
a, b, c
a
,
b
,
c
satisfying the following equation:
a
12
+
3
b
=
178
8
c
a^{12} + 3^b = 1788^c
a
12
+
3
b
=
178
8
c
.
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