Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Messages: [ Previous | Next ]
 Don Redmond Posts: 117 Registered: 5/5/11
Re: Reciprocals of integers summing to 1
Posted: Nov 16, 2012 9:10 AM

On Thursday, November 15, 2012 11:39:57 PM UTC-6, 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.
>
>
>
> C-B

Here's another

1/2 + 1/3 + 1/7 + 1/42 = 1.

don

Date Subject Author
11/16/12 Charlie-Boo
11/16/12 William Elliot
11/16/12 Charlie-Boo
11/16/12 William Elliot
11/17/12 Charlie-Boo
11/18/12 Bill Taylor
11/21/12 David Petry
11/22/12 Bill Taylor
11/22/12 Luis A. Rodriguez
11/22/12 David Petry
11/22/12 David Petry
11/23/12 Bill Taylor
11/23/12
11/23/12 Bill Taylor
11/16/12 Don Redmond
11/16/12 gus gassmann
11/16/12 billh04
11/17/12 Luis A. Rodriguez
11/17/12 Charlie-Boo
11/19/12 Luis A. Rodriguez
11/20/12 doumin
11/22/12 Bill Taylor