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Let a 1 , a 2 ,..., a m be any finite set of distinct natural numbers, and let b 1 , b 2 ,...be the sequence formed by all those numbers which are divisible by any of a 1 , a 2 ..., a m . This sequence has a density in the obvious sense and we denote this density by A(a 1 a 2 ,...a m ).
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Davenport et al. (1936) studied this question.
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