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Azerbaijan Contests
Azerbaijan Junior National Olympiad
2024 Azerbaijan National Mathematical Olympiad
3
3
Part of
2024 Azerbaijan National Mathematical Olympiad
Problems
(1)
a^12+3^b=1788^c
Source: Azerbaijan NMO 2024. Junior P3
7/8/2024
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
.
number theory
AZE JUNIOR NATIONAL MO