Converting to unit fractions

August 30th, 2004 ~ Posted in: Mathematics

I was just reading about the Rhind Mathematical Papyrus. Apparently the ancient Egyptians had a table of 2 divided by all the odd numbers between 3 and 101, expressed as the sum of unit fractions. Can anyone think of an algorithm for this?

A unit fraction is a fraction of the form \frac{1}{x}; so for example  \frac{2}{5} = \frac{1}{3} +\frac{1}{15}.

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