Determine a positive integer constant c such that the equation xy² - y²+ x+ y = c has precisely three solutions in positive integers.

I used mathematica to crunch thru and find some solutions and they are as follows.
8,14,18,22,24,28,32,34,38,48,54,56,64,68,73,78,88,94,98

this makes me think there are in infinite number of solutions and so I am looking for a pattern that will allow me to prove this

Posted by Daniel on 2006-12-02 12:38:25