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Regional Mathematical Olympiad
2014 India Regional Mathematical Olympiad
3
Indian RMO 2014 P3
Indian RMO 2014 P3
Source:
January 1, 2015
Problem Statement
Prove that for any natural number
n
<
2310
n < 2310
n
<
2310
,
n
(
2310
ā
n
)
n(2310-n)
n
(
2310
ā
n
)
is not divisible by
2310
2310
2310
.
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