
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 HorusEye 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 nonoptimized 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 outoforder series indicated a 2phase method:
1/8 = 1/25 + 1/15 + 1/75 + 1/200 (line 8)
Best Regards,
Milo Gardner

