+111 Find the smallest positive integer N with the following property: of the three numbers N, N+1, and N+2, one of them is divisible by \(2^2 \), one of them is divisible by \(3^2\), one is divisible by \(5^2\), and one is divisible by \(7^2\).
Any help would be appriciated. Thank you for your time!
