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International Zhautykov Olympiad
2021 International Zhautykov Olympiad
1
Number theory
Number theory
Source: Izho 2021 p1
January 8, 2021
number theory
Problem Statement
Prove that there exists a positive integer
n
n
n
, such that the remainder of
3
n
3^n
3
n
when divided by
2
n
2^n
2
n
is greater than
1
0
2021
10^{2021}
1
0
2021
.
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