Let A,B,C∈ZA,B,C\in\mathbb{Z}A,B,C∈Z satisfy gcd(A,B,C)=1\gcd(A,B,C)=1gcd(A,B,C)=1. For prime exponents p,q,rp,q,rp,q,r with … a non-trivial primitive integer solution of Axp+Byq+Czr=0Ax^p+By^q+Cz^r=0Axp+Byq+Czr=0 is a solution with xyz≠0xyz\ne0xyz=0 and…