Note on the Exceptional Set in the ABC Conjecture

N. A. Carella

Fix $\epsilon >0$, let $x>1$ be a large real number and let $\text{rad}(n)={\prod }_{p\mid n}p$ be the radical of an integer $n\ge 1$. A triple $(a,b,c)$, with $a+b=c$ and $\gcd(a,b…