It is proved that there exists infinitely many positive integer triples (a,b,c) satisfying a+b=c, gcd(a,b,c)=1 and c>32G, where G is the product of distinct prime divisors of abc.

• 证明了:存在无穷多组正整数(a；b；c)满足a+b=c；gcd(a；b；c)=1；c>32G；其中G是乘积abc中不同素因数的乘积.