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Subject: prime chain,curios!

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  • d.broadhurst@open.ac.uk
    PS: Test you favorite 64-bit calculator with (exp(Pi*sqrt(4*41-1))-744)^(1/3)
    Message 1 of 3 , Oct 1, 2001
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      PS: Test you favorite 64-bit calculator with
      (exp(Pi*sqrt(4*41-1))-744)^(1/3)
    • Hadley, Thomas H (Tom), NLCIO
      I get: (exp(Pi*sqrt(4*41-1))-744)^(1/3) = 640319.9999999999999999999999993903173522456062 Actually I did: $ bc -l scale=40 p=3.1415926535897932384626433
      Message 2 of 3 , Oct 2, 2001
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        I get:

        (exp(Pi*sqrt(4*41-1))-744)^(1/3) =
        640319.9999999999999999999999993903173522456062

        Actually I did:
        $ bc -l
        scale=40
        p=3.1415926535897932384626433
        s=sqrt(163)
        w=e(p*s)-744
        e(l(w)/3)

        when I use "bc -l" on Unix.

        WOW! I count 24 9's after the decimal point. Is 744 a fudge factor?

        I, for one, would be interested in how this applies to Euler's formula.
        Yes, I did look at the page referred to by David, but it was beyond me.
        I'll look at Ribenboim tonight.

        Tom
        -----Original Message-----
        From: d.broadhurst@... [mailto:d.broadhurst@...]
        Sent: Monday, October 01, 2001 5:07 PM
        To: primenumbers@yahoogroups.com
        Subject: [PrimeNumbers] Subject: prime chain,curios!


        PS: Test you favorite 64-bit calculator with
        (exp(Pi*sqrt(4*41-1))-744)^(1/3)





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      • Jud McCranie
        ... IIRC, this number was mentioned in Scientific American, Mathematical Games column, April 1976 in a April Fool s hoax. It must be in one of Martin
        Message 3 of 3 , Oct 2, 2001
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          At 10:56 AM 10/2/2001 -0500, Hadley, Thomas H (Tom), NLCIO wrote:

          > I, for one, would be interested in how this applies to Euler's formula.

          IIRC, this number was mentioned in Scientific American, Mathematical Games
          column, April 1976 in a April Fool's hoax. It must be in one of Martin
          Gardner's books too. But that doesn't have much info about it.



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