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Problem 2
Problem 2
Source: Azerbaijan third round 2020
June 6, 2020
number theory
Problem Statement
a
,
b
,
c
a,b,c
a
,
b
,
c
are positive integer. Solve the equation:
2
a
!
+
2
b
!
=
c
3
2^{a!}+2^{b!}=c^3
2
a
!
+
2
b
!
=
c
3
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