Abstract
In the November 2016 issue of the Monthly, A. W. Dudek showed that the implication over positive integers is almost always false in a certain probabilistic sense. By considering two variations on this idea, we show that this fact continues to hold when ab is replaced by a product with a fixed number of factors, but a nontrivial frequency develops when r is assumed to have a fixed number of prime divisors, including multiplicity.
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Schedule a callMore From: The American mathematical monthly : the official journal of the Mathematical Association of America
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