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Hanoi Open Mathematics Competition
2016 Hanoi Open Mathematics Competitions
6
min a>0 such 2016 integers belong (a, 2016a], (HOMC 2016 J Q6)
min a>0 such 2016 integers belong (a, 2016a], (HOMC 2016 J Q6)
Source:
August 7, 2019
interval
minimum
algebra
number theory
Problem Statement
Determine the smallest positive number
a
a
a
such that the number of all integers belonging to
(
a
,
2016
a
]
(a, 2016a]
(
a
,
2016
a
]
is
2016
2016
2016
.
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