Is the distribution of almost-primes known.

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Is the distribution of "almost-primes" known.

If we define the "Almost-primes" as:

* p^{a} a is positive integer and p is a prime

* pq where p and q are both primes

then my question is if their distribution known ?? i mean if there is a function f(x) so for f(N) gives the values of "almost prime numbers" from 1 to N
 
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Yes. But yo don't want to ask that. You want to ask if there is a way to express this function in terms of easily computed objects/quantities, or if there is a closed expression in n. Can't help you there.
 
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