Talk:1988 IMO Problems/Problem 6
I just wonder if it's possible to solve this problem with Chinese Remainder Theorem
First: assuming that .
Then quotient is always square and
and is less or equal than
and is not divisible by neither
nor
which implies it's square of integer.
In case of we can transform quotient to
where
and
and follow the same reasoning as above.
It's just an idea without final and rigorous proof yet.
Am I mistaken?
Help :)