Tenenbaum surveys progress on Erdős' problems about divisors, sets of multiples, and prime factors, and proves that the distribution of τ+(n)/τ(n) is continuous at 1.
Erd˝ os, Some unconventional problems in number theo ry, Ast´ erique61 (1979), 73–82, Soc
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Some of Erd\H os' unconventional problems in number theory, thirty-four years later
Tenenbaum surveys progress on Erdős' problems about divisors, sets of multiples, and prime factors, and proves that the distribution of τ+(n)/τ(n) is continuous at 1.