A discovery #299
Definition. pqi(n) denote the product of the quality indicators of the distinct prime factors of the integer n.
pqi(3^5*7^2*19^12)=5*2*12=120,
pqi(3^2*5^26)=2*26=52,
pqi(1)=1.
Conjecture (Papava). If gcd(a, b)=1 and a+b=c then
pqi(abc) ≤rad(abc).