Similar to how the Prime Number Theorem approximates the number of primes less than some value $x$, is there a theorem/function that approximates the number of composite numbers with exactly $n$ prime factors (counting multiplicity), less than $x$?
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1The case of semiprimes. I'm convinced we have a decent question/answer for the general case, but so far I haven't found it. – Daniel Fischer Apr 30 '20 at 17:57
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2This has been asked before. See https://math.stackexchange.com/questions/3254257/number-of-integers-less-than-x-with-k-prime-divisors-not-necessarily-differ. – KCd Apr 30 '20 at 18:04