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2022 ITAMO
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2022 ITAMO
Problems
(1)
Italian Mathematical Olympiad 2022 - Problem 1
Source:
5/6/2022
Determine for which positive integers
n
n
n
there exists a positive integer
A
A
A
such that •
A
A
A
is divisible by
2022
2022
2022
, • the decimal expression of
A
A
A
contains only digits
0
0
0
and
7
7
7
, • the decimal expression of
A
A
A
contains exactly
n
n
n
times the digit
7
7
7
.
number theory