a/b + b/c + c/a = n (Extend A072716?)

[Pfoertner, Hugo]

Dave Rusin sent the following to my e-mail at work:

-----Ursprüngliche Nachricht-----
Von: rusin at math.niu.edu [mailto:rusin at math.niu.edu] 
Gesendet am: 26 July, 2003 02:39
An: Pfoertner, Hugo
Cc: rusin at math.niu.edu
Betreff: Re: WG: a/b + b/c + c/a = n (Extend A072716?)


I wrote,
> How about if I prepare a careful summary of the algebraic-geometry
You wrote,
> Certainly do that.

OK, I did it, and posted notice of it to sci.math. But the summary
itself is too long, so I put it on a web page. Perhaps you would
like to mention this to your seq-fan mailing list.

The discussion of values of  n  for which  a/b + b/c + c/a = n  is
solvable in integers, or in positive integers, is at
	http://www.math.niu.edu/~rusin/research-math/abcn/
I give a complete list of all values of n < 200 for which the
equation is solvable in integers. To know about solvability in
POSITIVE integers I have to wait for my computers to get lucky
in two remaining cases: n=142, n=177. That could take weeks, and
I may stop trying.

dave