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14
2006 SMT Team Round #14 - Smallest Nonnegative $n$
2006 SMT Team Round #14 - Smallest Nonnegative $n$
Source:
August 22, 2011
floor function
factorial
function
number theory
modular arithmetic
Problem Statement
Find the smallest nonnegative integer
n
n
n
for which
(
2006
n
)
\binom{2006}{n}
(
n
2006
ā
)
is divisible by
7
3
7^3
7
3
.
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