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Problems
Contests
International Contests
International Olympiad of Metropolises
2020 IOM
2
2
Part of
2020 IOM
Problems
(1)
Does there exist a positive integer $n$
Source: Metropolises 2020 P2
12/18/2020
Does there exist a positive integer
n
n
n
such that all its digits (in the decimal system) are greather than 5, while all the digits of
n
2
n^2
n
2
are less than 5?
number theory