abc conjecture
For all \epsilon > 0 there exist only finitely many triples (a,b,c) of coprime integers, with a+b=c, such that c > rad(abc)^{1+\epsilon}.
For all \epsilon > 0 there exist only finitely many triples (a,b,c) of coprime integers, with a+b=c, such that c > rad(abc)^{1+\epsilon}.