Difference between revisions of "1997 USAMO Problems/Problem 1"
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Revision as of 08:43, 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
.
Solution
1997 USAMO (Problems • Resources) | ||
Preceded by Problem First Question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |