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National and Regional Contests
Belarus Contests
Belarus Team Selection Test
2019 Belarus Team Selection Test
8.3
8.3
Part of
2019 Belarus Team Selection Test
Problems
(1)
Classical problem
Source: well known?
4/8/2019
Prove that for
n
>
1
n>1
n
>
1
,
n
n
n
does not divide
2
n
ā
1
+
1
2^{n-1}+1
2
n
ā
1
+
1
number theory