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1953 Moscow Mathematical Olympiad
234
MMO 234 Moscow MO 1953 min no in form 1...1 divisible by 3...3
MMO 234 Moscow MO 1953 min no in form 1...1 divisible by 3...3
Source:
August 9, 2019
number theory
divisible
minimum
Problem Statement
Find the smallest number of the form
1...1
1...1
1...1
in its decimal expression which is divisible by
3...3
⏟
100
\underbrace{\hbox{3...3}}_{\hbox{100}}
100
3...3
,.
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