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1990 Greece National Olympiad
3
7 divides (1^n+2^n+3^n)
7 divides (1^n+2^n+3^n)
Source: 1990 Greece MO Grade XI p3
September 6, 2024
divides
divisible
number theory
Problem Statement
For which
n
n
n
,
n
ā
N
n \in \mathbb{N}
n
ā
N
is the number
1
n
+
2
n
+
3
n
1^n+2^n+3^n
1
n
+
2
n
+
3
n
divisible by
7
7
7
?
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