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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 27, 2009 2:15 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Milo, read the Rhind Mathematical Papyrus as written!
Your method is not the one used by Ahmes. Consulting
the 2/n table is not enough. How many times did I tell
you so, and for how many years?

---

In a previous message I said the infinite product

1x4/2x3 x 7x10/8x9 x 13x16/14x15 ...

may equal 2/pi. Wrong. In another message I said the
infinite product

1x3/2x2 x 5x7/6x6 x 9x11/10x10 ...

may equal ln2. Also wrong. It equals the inverse of
the square root of 2 and is approximated by the stairway

3/4 x 16/17
3/4 x 35/36 x 32/33
3/4 x 35/36 x 99/100 x 48/49
3/4 x 35/36 x 99/100 x 195/196 x 64/65

Row 51 yields 0.70797384... x 816/817 = 0.707107287...,
the square of which is 0.50000071...

The infinite product contains Euler's infinite pi product
of the primes as factor

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

while the inverse numerators of the stairway approximate
pi/8

'3 '16
'3 '35 '32
'3 '35 '99 '48
'3 '35 '99 '195 '64

and yield the best results when combined with the
complementary pattern

'2 minus '15 '24
'2 minus '15 '63 '40
'2 minus '15 '63 '143 '56
'2 minus '15 '63 '143 '255 '72


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
Read Re: Prime numbers and pi
Franz Gnaedinger
4/28/09
Read Re: Prime numbers and pi
Milo Gardner
4/29/09
Read Re: Prime numbers and pi
Franz Gnaedinger
4/15/09
Read Re: Prime numbers and pi
John Bibby, QED of York, York, England
6/27/12
Read Re: Prime numbers and pi
Milo Gardner
6/27/12
Read Re: Prime numbers and pi
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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