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Martin Sleziak
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make the question comprehensible
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Emil Jeřábek
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Can anyone give an estimate  (Upperupper bound or Lower Boundlower bound) for

$\sum_{\substack{d|P_r \\ \frac{\sqrt P_r}{2}< d <\sqrt P_r }} 1 $

when the number of divisors $d\mid P_r$ such that $\frac{\sqrt{P_r}}{2}< d < \sqrt{P_r}$, where $P_r$ is the product of firstthe $r$ smallest primes?

Can anyone give an estimate(Upper bound or Lower Bound) for

$\sum_{\substack{d|P_r \\ \frac{\sqrt P_r}{2}< d <\sqrt P_r }} 1 $

when $P_r$ is product of first primes?

Can anyone give an estimate  (upper bound or lower bound) for the number of divisors $d\mid P_r$ such that $\frac{\sqrt{P_r}}{2}< d < \sqrt{P_r}$, where $P_r$ is the product of the $r$ smallest primes?

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Estimate about primes

Can anyone give an estimate(Upper bound or Lower Bound) for

$\sum_{\substack{d|P_r \\ \frac{\sqrt P_r}{2}< d <\sqrt P_r }} 1 $

when $P_r$ is product of first primes?