Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 5"
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Revision as of 14:43, 24 July 2006
5. Let be a prime and
satisfy
for all integers
.
is the greatest integer less than or equal to
. If for fixed
, there exists an integer
such that:
then . If there is no such
, then
. If
, find the sum:
.