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24688Re: Twin primes and Pi

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  • Alexander
    Nov 27, 2012
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      --- In primenumbers@yahoogroups.com, "djbroadhurst" <d.broadhurst@...> wrote:
      >
      >
      >
      > --- In primenumbers@yahoogroups.com,
      > "Alexander" <werner.sand@> wrote:
      >
      > > > [3.196175, 2097257]
      > > > [3.196230, 4194581]
      > > > [3.196199, 8388617]
      > > > [3.196216, 16777289]
      > > > [3.196203, 33554501]
      > > > [3.196185, 67109321]
      > > > [3.196191, 134217779]
      > > What I tried to explain is:
      > > As a simple program can easily show, your table is wrong.
      >
      > Take the first entry.
      >
      > Your truncation was
      >
      > > t = 2097257 product = 2.9190232000697852233
      >
      > Now multiply by the obvious HL correction:
      >
      > exp(2*0.66016181584686957/log(2097257))
      >
      > The result is
      > 3.1961745754...
      > in good agreement with mine:
      > > [3.196175, 2097257]
      >
      > > your table is wrong
      >
      > No. The problem is that your table was uncorrected.
      >
      > David
      >

      OK, I see what you mean. Thank you.
      Werner
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