Thread: Putnam 1985 B3
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Jul28-07, 10:29 AM   #4

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Putnam 1985 B3


The point is that you can find an N such that the number of pairs (i,j) with i*j<N is greater than 8*N. You could compute this N, if I'm doing my numbers right it's less than 10000. That means the problem doesn't have much to do with infinite set theory.