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Topic: Prime numbers and pi
Replies: 33   Last Post: Dec 10, 2012 3:43 PM

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Franz Gnaedinger

Posts: 330
Registered: 4/30/07
Re: Prime numbers and pi
Posted: Apr 14, 2009 2:03 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

The calculations in my previous message approximate pi/2
(and not 1.61... as I wrongly stated), so this part of
the problem is solved, but how do the primes get in?
Euler's infinite product is a genuine link of pi and the
primes, for all primes appear as numerators, while the
denominators are smaller or bigger by one but never four
or a multiple of four:

pi = 2 times 3/2 x 5/6 x 7/6 x 11/10 x 13/14 x 17/18 x

19/18 x 23/22 x 29/30 x 31/30 x 37/38 x 41/42 x 47/46 x

53/54 x 59/58 x 61/62 x 67/66 x 71/70 x 73/74 x ...

How did Euler find this product? via the zeta function?


Date Subject Author
4/12/09
Read Prime numbers and pi
James A. Landau
4/13/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/13/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/13/09
Read Re: Prime numbers and pi
James A. Landau
4/14/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/14/09
Read Re: Prime numbers and pi
Franz Gnaedinger
6/26/12
Read Re: Prime numbers and pi
hashim shah
4/14/09
Read Re: Prime numbers and pi
James A. Landau
4/15/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/16/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/16/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/16/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/16/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/16/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/18/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/18/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/23/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/23/09
Read Re: Prime numbers and pi
Milo Gardner
4/25/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/25/09
Read Re: Prime numbers and pi
Milo Gardner
4/26/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/26/09
Read Re: Prime numbers and pi
Milo Gardner
4/27/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/27/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/27/09
Read Re: Prime numbers and pi
Milo Gardner
4/28/09
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Franz Gnaedinger
4/28/09
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Milo Gardner
4/29/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/15/09
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John Bibby, QED of York, York, England
6/27/12
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Milo Gardner
6/27/12
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Milo Gardner
12/5/12
Read Re: Prime numbers and pi
kevin
12/6/12
Read Re: Prime numbers and pi
Milo Gardner
12/10/12
Read Re: Prime numbers and pi
Milo Gardner

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