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Subject: "pi(x) , pq(x) , (p,q both primes)"     Previous Topic | Next Topic
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Conferences The CTK Exchange College math Topic #668
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Pierre Charland
Member since Dec-22-05
Feb-01-08, 09:41 PM (EST)
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"pi(x) , pq(x) , (p,q both primes)"
 
   I'm looking for info on the distribution of numbers of the form n=pq, where p and q are both primes.

For number of the form n=p, where p is prime, we have the function pi(x) for the number of such n<=x. And it is know that pi(x)=x/ln(x) approximately.

Is there a similar function for numbers which are the product of 2 primes? and a know approximation?

Any reference or link would help.

Thanks

AlphaChapMtl


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Pierre Charland
Member since Dec-22-05
Feb-01-08, 10:27 PM (EST)
Click to EMail Pierre%20Charland Click to send private message to Pierre%20Charland Click to view user profileClick to add this user to your buddy list  
1. "RE: pi(x) , pq(x) , (p,q both primes)"
In response to message #0
 
   I found that such numbers are called semiprimes.
Semiprimes can have p=q.
Squarefree semiprimes would have p<>q.

https://mathworld.wolfram.com/Semiprime.html

An exact formula is given in the reference, but I was hoping for a simpler approximation formula.

Further references or links still welcome. Thanks.

AlphaChapMtl


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