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

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 Milo Gardner Posts: 1,105 Registered: 12/3/04
Re: Prime numbers and pi
Posted: Apr 23, 2009 9:41 AM

Franz,

Please identify arithmetic identities in the form that Ahmes and Egyptian scribes used the term.

You have improperly identified the Horus-Eye binary series, used by Ahmes within multiplication proofs.

To be specific, as scholars in the 20th century mulddled Ahmes 'ab initio' calculations, Ahmes clearly used optimized LCM multipliers (b/b) in the form of a = a(b/b) = ab/a (http://rmprectotable.blogspot.com/ ).

For example, Ahmes consistently converted 2/97 to an optimized unit fraction series by selecting the LCM 56 written as 56/56 such that:

2/97(56/56) = 112/5432 = (97 + 8 + 7)/5432 =

1/56 + 1/679 + 1/776

the 250 year older EMLR used non-optimized LCMs in the form of b/b,
(http://en.wikipedia.org/wiki/Egyptian_Mathematical_Leather_Roll) .

For example 1/8 was converted by three different LCMs 3, 5 as practice, the largest being 25, assisted by 6, such that:

1/8*(25/25) = 25/200 = (8 + 17)/200 = 1/25 + 17/200

with,

17/200*(6/6) = 102/1200 = (80 + 16 + 6)

= 1/15 + 1/75 + 1/200

hence an out-of-order series indicated a 2-phase method:

1/8 = 1/25 + 1/15 + 1/75 + 1/200 (line 8)

Best Regards,

Milo Gardner