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Alex. Lupas
science forum Guru Wannabe

Joined: 06 May 2005
Posts: 245

Posted: Thu May 26, 2005 2:20 pm    Post subject: pi [ a la Sierpinski]

Let us consider that PI is a rational number such that
|PI -pi | < 10^{-2006} where pi is Arhimede's constant.
It's true that there exists a system of positive integers
s, n_1,n_2,...,n_s with 2006 < m_1<m_2<...< m_s ,
such that

PI =1/n_1 + 1/n_2 + ... + 1/n_s ?

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