Let x, y, and z be coprime positive integers with x+y=z. In this paper we give upper bounds for z in terms of the greatest square-free factor of xyz.
"On the abc conjecture, II." Duke Math. J. 108 (1) 169 - 181, 15 May 2001. https://doi.org/10.1215/S0012-7094-01-10815-6