
Consecutive Product Square
Problem
We can see that 3
4
5
6 = 360 = 192
1.
Prove that the product of four consecutive integers is always one less than a perfect square.
Problem ID: 184 (01 Nov 2004) Difficulty: 3 Star

We can see that 3
4
5
6 = 360 = 192
1.
Prove that the product of four consecutive integers is always one less than a perfect square.