"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 CwmbrÃÂÃÂ¢n, Cymru/Wales