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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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William Elliot

Posts: 1,445
Registered: 1/8/12
Re: Reciprocals of integers summing to 1
Posted: Nov 16, 2012 2:52 AM
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On Thu, 15 Nov 2012, Charlie-Boo wrote:
> 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.
>

1/3 + 1/2 + 1/6
1/6 + 1/3 + 1/2,
etc.,
for a total of 6 + 1.

Do I hear more?



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