Let $P(n)=\{p \leq n: p\text{ is prime} \}$. For given $N$ and $n$, what's a good approximation for $|S(N,n)|$, where $S(N,n)=\{x
Asymptotics of products of primes
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prime-numbers
asymptotics
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0See http://math.stackexchange.com/q/122692/1778 which is very similar. – 2012-03-22