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2016 Indonesia MO
2
2
Part of
2016 Indonesia MO
Problems
(1)
2^c + 2^{2016} = a^b with b>1, and a,b,c naturals
Source: Indonesia MO (INAMO) 2016 P2
9/14/2018
Determine all triples of natural numbers
(
a
,
b
,
c
)
(a,b, c)
(
a
,
b
,
c
)
with
b
>
1
b> 1
b
>
1
such that
2
c
+
2
2016
=
a
b
2^c + 2^{2016} = a^b
2
c
+
2
2016
=
a
b
.
Diophantine equation
number theory