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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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 Philip Anderson Posts: 37 Registered: 12/13/04
Re: Integer pairs in sum of reciprocals
Posted: Jan 3, 2001 4:35 AM

"Ross A. Finlayson" wrote (possibly trolling):
>
> If you assign c a sufficiently large value, then for some value a slightly
> greater than c and b greater than a then there is a solution. If there is one
> there is probably infinite.

if c > 1, then a = c+1, b = c(c+1) is a solution with "a slightly
greater than c" and b > a, so 2 is "sufficiently large". Since this is
true for all positive integers > 1, there are obviously an infinite
number of solutions for (a,b,c); the more interesting question is the
one asked, ie how many solutions for a fixed c.

--
hwyl/cheers,
Philip Anderson
Alenia Marconi Systems
CwmbrÃÂÃÂ¢n, Cymru/Wales