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Topic: Integer pairs in sum of reciprocals
Replies: 39   Last Post: Jan 22, 2001 6:02 PM

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Jan Kristian Haugland

Posts: 1,303
Registered: 12/4/04
Re: Integer pairs in sum of reciprocals
Posted: Jan 4, 2001 2:39 PM
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Surely you are joking???

Brian Evans wrote:

> From what I can deduce the answer is actually none.
>
> Starting at the boundary condition for where a= b :
> 1/4002 + 1/4002 = 1/2001
> Which reduces to
> 1/2 + 1/2 = 1
> Now for us to move off the boundary condition one
> of these must grow and the other shrink. Problem
> is there is no 1/x greater than 1/2 so one can not
> get any bigger.
>
> Brian Evans
>
> <saxon970@yahoo.com> wrote ...

> > Hello. I have some questions about how to approach the problem below:
> >
> > How many pairs of positive integers a and b are there such that a < b
> > and
> > 1/a + 1/b = 1/2001 ?
> >
> > End of problem.
> >
> > Is trial and error and making a manual list the way to go?


--

Jan Kristian Haugland
http://home.hia.no/~jkhaug00







Date Subject Author
1/1/01
Read Integer pairs in sum of reciprocals
saxon970@yahoo.com
1/1/01
Read Re: Integer pairs in sum of reciprocals
Ross A. Finlayson
1/2/01
Read Re: Integer pairs in sum of reciprocals
Ross A. Finlayson
1/2/01
Read Re: Integer pairs in sum of reciprocals
Jan Kristian Haugland
1/2/01
Read Re: Integer pairs in sum of reciprocals
Ross A. Finlayson
1/2/01
Read Re: Integer pairs in sum of reciprocals
Jan Kristian Haugland
1/2/01
Read Re: Integer pairs in sum of reciprocals
Ross A. Finlayson
1/2/01
Read Re: Integer pairs in sum of reciprocals
Steve Lord
1/2/01
Read Re: Integer pairs in sum of reciprocals
Ross A. Finlayson
1/2/01
Read Re: Integer pairs in sum of reciprocals
Ross A. Finlayson
1/2/01
Read Re: Integer pairs in sum of reciprocals
Dik T. Winter
1/3/01
Read Re: Integer pairs in sum of reciprocals
Philip Anderson
1/11/01
Read Re: Integer pairs in sum of reciprocals
355113@my-deja.com
1/1/01
Read Re: Integer pairs in sum of reciprocals
David Eppstein
1/2/01
Read Re: Integer pairs in sum of reciprocals
r.e.s.
1/2/01
Read Re: Integer pairs in sum of reciprocals
David Eppstein
1/2/01
Read Re: Integer pairs in sum of reciprocals
r.e.s.
1/2/01
Read Re: Integer pairs in sum of reciprocals
r.e.s.
1/5/01
Read Re: Integer pairs in sum of reciprocals
the_great_nathan@my-deja.com
1/5/01
Read Re: Integer pairs in sum of reciprocals
r.e.s.
1/5/01
Read Re: Integer pairs in sum of reciprocals
Randy Poe
1/6/01
Read Re: Integer pairs in sum of reciprocals
the_great_nathan@my-deja.com
1/6/01
Read Re: Integer pairs in sum of reciprocals
David C. Ullrich
1/9/01
Read Re: Integer pairs in sum of reciprocals
the_great_nathan@my-deja.com
1/9/01
Read Re: Integer pairs in sum of reciprocals
David C. Ullrich
1/11/01
Read Re: Integer pairs in sum of reciprocals
the_great_nathan@my-deja.com
1/12/01
Read Re: Integer pairs in sum of reciprocals
David C. Ullrich
1/13/01
Read Re: Integer pairs in sum of reciprocals
the_great_nathan@my-deja.com
1/13/01
Read Re: Integer pairs in sum of reciprocals
David C. Ullrich
1/18/01
Read Re: Integer pairs in sum of reciprocals
the_great_nathan@my-deja.com
1/18/01
Read Re: Integer pairs in sum of reciprocals
David C. Ullrich
1/22/01
Read Re: Integer pairs in sum of reciprocals
the_great_nathan@my-deja.com
1/4/01
Read Re: Integer pairs in sum of reciprocals
Brian Evans
1/4/01
Read Re: Integer pairs in sum of reciprocals
Jan Kristian Haugland
1/5/01
Read Re: Integer pairs in sum of reciprocals
the_great_nathan@my-deja.com
1/5/01
Read Re: Integer pairs in sum of reciprocals
Dave Seaman
1/5/01
Read Re: Integer pairs in sum of reciprocals
David Eppstein
1/5/01
Read Re: Integer pairs in sum of reciprocals
Jan Kristian Haugland
1/6/01
Read Re: Integer pairs in sum of reciprocals
Damiano Scapeccia
1/7/01
Read Re: Integer pairs in sum of reciprocals
Adam Stephanides

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