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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 of them is divisible by \(4^2\), and one of them is divisible by \(5^2\).

 Apr 11, 2020
 #1
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My guess is n = 223

             n + 1  =  224  divisible by both 4 and 16

              n + 2  =  225  divisible by both 9 and 25

 Apr 11, 2020

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