Abstract

For any fixed value of x, let denote the set of all positive integers with exactly k prime factors counted according to multiplicity, each prime factor being ≦ x. In an earlier paper [1] in this journal we posed the following problem. LetShow the existence or non-existence of an integer K such that, ifthenWe now show that such a K exists, and that in (2) there is strict inequality in each case.

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