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Baltic Way
2002 Baltic Way
17
Sequence of binomials in periodic modulo 2002
Sequence of binomials in periodic modulo 2002
Source: Baltic Way 2002
November 13, 2010
number theory proposed
number theory
Problem Statement
Show that the sequence
(
2002
2002
)
,
(
2003
2002
)
,
(
2004
2002
)
,
…
\binom{2002}{2002},\binom{2003}{2002},\binom{2004}{2002},\ldots
(
2002
2002
)
,
(
2002
2003
)
,
(
2002
2004
)
,
…
considred modulo
2002
2002
2002
, is periodic.
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