Mock AIME 1 2006-2007 Problems/Problem 5
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: .
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: .
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