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Topic: Asymptotics of LCM
Replies: 2   Last Post: Jan 18, 2001 10:45 AM

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Charles Matthews

Posts: 143
Registered: 12/13/04
Re: Asymptotics of LCM
Posted: Jan 18, 2001 10:45 AM
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Bob Penrose wrote

>Let f(n) be the LCM of the numbers 1,2,3,...,n.

The logarithm of f(n) is the standard function psi(n) of prime number
theory, with

psi(n) ~ n

by the Prime Number Theorem.

You shouldn't expect too much more as asymptotic information about f(n).

Charles









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