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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 is divisible by 5^2, and one is divisible by 7^2.

 Jul 14, 2019
 #1
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 Jul 14, 2019
edited by Guest  Jul 14, 2019
edited by Guest  Jul 14, 2019
 #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

 Jul 14, 2019

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