Abstract
Let k be a positive integer and F(x, k) denote the number of integers n < x which have a divisor in every residue class prime to k. Erdös (1) proved that for every fixed ε > 0, we have F(x, k) ˜ x whenand conjectured the following result, which we prove in this paper.
Publisher
Cambridge University Press (CUP)
Reference3 articles.
1. On the distribution of divisors of integers in residue classes (mod d);Erdös;Bull. Soc. Math. Grèce,1965
2. A conjecture of Erdös in number theory;Hall;Acta Arithmetica
3. Probabilistic methods in group theory
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