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strong symmetry of number of factors

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  • Bill Krys
    Hello, Has anyone noticed the strong degree of symmetry for the number of prime factors on a segment from 2^n to 2^(n+1)? Bill ===== Bill Krys Email:
    Message 1 of 2 , May 30 8:21 AM
      Hello,

      Has anyone noticed the strong degree of symmetry for
      the number of prime factors on a segment from 2^n to
      2^(n+1)?

      Bill

      =====
      Bill Krys
      Email: billkrys@...
      Toronto, Canada (currently: Beijing, China)

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    • Dick Boland
      Hello, Given any two consecutive sequences of an equal number of consecutive integers, heuristically, the ratio of the number of primes in each sequence
      Message 2 of 2 , Jun 1, 2001
        Hello,
        Given any two consecutive sequences of an equal number
        of consecutive integers, heuristically, the ratio of the
        number of primes in each sequence approaches unity.
        So it's not surprising, in fact, it's what you'd expect.
        -Dick

        --- Bill Krys <billkrys@...> wrote:
        > Dick,
        >
        > The latter,
        >
        > Bill
        >
        > --- Dick Boland <richard042@...> wrote:
        > > Hi Bill,
        > >
        > > Maybe, are you talking about the segment
        > > as one side of the symmetry (symmetrical about 2^n),
        > > or both sides of the symmetry within the segment
        > > (symmetrical about 3*2^(n-1))?
        > >
        > > -Dick Boland
        > >
        > > --- Bill Krys <billkrys@...> wrote:
        > > > Hello,
        > > >
        > > > Has anyone noticed the strong degree of symmetry
        > > for
        > > > the number of prime factors on a segment from 2^n
        > > to
        > > > 2^(n+1)?
        > > >
        > > > Bill
        > > >
        > > > =====
        > > > Bill Krys
        > > > Email: billkrys@...
        > > > Toronto, Canada (currently: Beijing, China)
        > > >
        > > > __________________________________________________
        > > > Do You Yahoo!?
        > > > Get personalized email addresses from Yahoo! Mail
        > > - only $35
        > > > a year! http://personal.mail.yahoo.com/
        > > >
        > >
        > >
        > > __________________________________________________
        > > Do You Yahoo!?
        > > Get personalized email addresses from Yahoo! Mail -
        > > only $35
        > > a year! http://personal.mail.yahoo.com/
        >
        >
        > =====
        > Bill Krys
        > Email: billkrys@...
        > Toronto, Canada (currently: Beijing, China)
        >
        > __________________________________________________
        > Do You Yahoo!?
        > Get personalized email addresses from Yahoo! Mail - only $35
        > a year! http://personal.mail.yahoo.com/


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