SquareNumber 华杯 Intermediate
2004

Problem - 2384
If the middle term of three consecutive integers is a perfect square, then the product of these three numbers is called a $\textit{beautiful}$ number. What is the greatest common divisor of all the $\textit{beautiful}$ numbers?

The solution for this problem is available for $0.99. You can also purchase a pass for all available solutions for$99.