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.
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I think the smallest positive N = 98
98 / 7^2 = 2
N + 1 =99
99 / 3^2 =11
N + 2 = 100
100 / 5^2 =4
100 / 2^2 = 25
+586 
