The sum of two positive integers is 1000 less than the product, and one of them is a complete square number

The sum of two positive integers is 1000 less than the product, and one of them is a complete square number

X + y = xy-1000, y = (x + 1000) / (x-1) this is a complete square number, and it is a decreasing function, and it is also an integer, so in the selection of Y, all odd numbers are excluded and only even numbers are replaced (because x + 1000 X-1 must be an odd even number, even number divided by odd number can not get odd number, odd number divided by even number can only be