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Kazakhstan Contests
Kazakhstan National Olympiad
2003 Kazakhstan National Olympiad
5
national kazakhstan 2003
national kazakhstan 2003
Source:
February 23, 2016
number theory
Problem Statement
Prove that for all primes
p
>
3
p>3
p
>
3
,
(
2
p
p
)
−
2
\binom{2p}{p}-2
(
p
2
p
)
−
2
is divisible by
p
3
p^3
p
3
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