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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 29, 2009 2:44 AM
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Milo, read the Rhind Mathematical Papyrus as written
and don't phantasize about the methods Ahmes used,
study the methods he actually used. And, by the way,
the topic of this thread are the prime numbers and pi.
If you wish you can start a new thread on RMP 66; here
I won't discuss it anymore, nor another problem of the
RMP.

---

1 = '1x1
1 = '1x2 '1x2
1 = '1x2 '2x3 '1x3
1 = '1x2 '2x3 '3x4 '1x4
1 = '1x2 '2x3 '3x4 '4x5 '1x5

'1x2 '3x4 '5x6 '7x8 '9x10 ... = ln2

'2 = '2x1
'2 = '1x3 '2x3
'2 = '1x3 '3x5 '2x5
'2 = '1x3 '3x5 '5x7 '2x7
'2 = '1x3 '3x5 '5x7 '7x9 '2x9

'1x3 '5x7 '9x11 '13x15 '17x19 ... = pi/8

'3 = '3x1
'3 = '1x4 '3x4
'3 = '1x4 '4x7 '3x7
'3 = '1x4 '4x7 '7x10 '3x10
'3 = '1x4 '4x7 '7x10 '10x13 '3x13

'1x4 '7x10 '13x16 '19x22 '25x28 ... = ???

'1x4 '3x11
'1x4 '7x10 '3x23
'1x4 '7x10 '13x16 '3x35
'1x4 '7x10 '13x16 '19x22 '3x47
'1x4 '7x10 '13x16 '19x22 '25x28 '3x59

'3 minus '3x5
'3 minus '4x7 '3x17
'3 minus '4x7 '10x13 '3x29
'3 minus '4x7 '10x13 '16x19 '3x41
'3 minus '4x7 '10x13 '16x19 '22x25 '3x53
'3 minus '4x7 '10x13 '16x19 '22x25 '28x31 '3x65

I am still wondering about this series. The value
of the series, approximated by the complementary
stairways, is 0.27854..., probably 0.278548...
Can this number play a role in prime theory?
I asked this question before. Now I see all odd
primes appear in the approximating stairways when
I write them in the above form, and so I will study
their arrangement - is their pattern of any meaning?


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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