## China TST 1987, problem 5

For discussing Olympiad Level Number Theory problems
tanmoy
Posts: 289
Joined: Fri Oct 18, 2013 11:56 pm

### China TST 1987, problem 5

Find all positive integer $n$ such that the equation $x^{3}+y^{3}+z^{3}=nx^{2}y^{2}z^{2}$ has positive integer solutions.
"Questions we can't answer are far better than answers we can't question"

Kazi_Zareer
Posts: 86
Joined: Thu Aug 20, 2015 7:11 pm
Location: Malibagh,Dhaka-1217

### Re: China TST 1987, problem 5

We cannot solve our problems with the same thinking we used when we create them.