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Let be the divisors of and
Is it true that for almost all ? Can one prove an asymptotic formula for ?
Source: erdosproblems.com/673
An accepted solution exists. The statement is true.
The site labels the problem PROVED; its remarks record Tao's
bounds , displayed for any divisor of
and true for , answering the first question yes, and Erdős's 1982 remark
that the divergence is trivial. The standing in the frontmatter derives from
the claim pages under the parts divergence and asymptotic: the accepted
full claim on
Erdős and Tenenbaum's 1983 paper
settles both questions, its Théorème 2 giving
, and the accepted partial claim on
Erdős's remark settles
the first; the problem is solved with the value proved.