I am looking for information about the following diophantine equation:
$ \frac{1}{x_1} +\frac{1}{x_2} + \dots \frac{1}{x_k} = \frac{1}{n} \textrm{(k,n fixed)} $

Would it help if n has a special form (square, power of a prime number)?

I searched Google for egyptian fractions, didn't find anything really useful.



There is a nice survey article, Paul Erdös and Egyptian Fractions by R.L. Graham, also referring to the well-known Erdős–Straus conjecture.

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