Difference between revisions of "1997 USAMO Problems/Problem 1"
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Revision as of 09:42, 1 July 2011
Problem
Let be the prime numbers listed in increasing order, and let
be a real number between
and
. For positive integer
, define
where denotes the fractional part of
. (The fractional part of
is given by
where
is the greatest integer less than or equal to
.) Find, with proof, all
satisfying
for which the sequence
eventually becomes
.