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2000 All-Russian Olympiad Regional Round
10.1
99 % of 2000 numbers, composite - All-Russian MO 2000 Regional (R4) 10.1
99 % of 2000 numbers, composite - All-Russian MO 2000 Regional (R4) 10.1
Source:
September 26, 2024
number theory
Composite
Problem Statement
2000
2000
2000
numbers are considered:
11
,
101
,
1001
,
.
.
11, 101, 1001, . .
11
,
101
,
1001
,
..
. Prove that at least
99
%
99\%
99%
of these numbers are composite.
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