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set of positive integer divisors

Source: Canada 2004

June 26, 2009
analytic geometrypigeonhole principlenumber theory proposednumber theory

Problem Statement

Let T T be the set of all positive integer divisors of 2004100 2004^{100}. What is the largest possible number of elements of a subset S S of T T such that no element in S S divides any other element in S S?
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