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Topic: Reciprocals of integers summing to 1
Replies: 21   Last Post: Nov 23, 2012 8:44 PM

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Charlie-Boo

Posts: 1,585
Registered: 2/27/06
Re: Reciprocals of integers summing to 1
Posted: Nov 16, 2012 12:39 AM
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On Nov 16, 12:21 am, William Elliot <ma...@panix.com> wrote:
> On Thu, 15 Nov 2012, Charlie-Boo wrote:
> > For each n, what are the solutions in positive integers (or in
> > integers) to (1/X1)+(1/X2) + . . . + (1/Xn)=1 ?

>
> x1 = x2 =..= x_n = n


But there is also 1/2 + 1/3 + 1/6 = 1. I am asking for all solutions.

C-B



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