if a is divisible by neither 2 nor 3, show that a²-1 is divisible by 24.
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Among any three consecutive numbers one would always be a multiple of 3 , so as a is not divisible by 3 either of (a-1) and (a+1) is divisible by 3 . Hence , if a is divisible by neither 2 nor 3 then a²-1 is divisible by 24 .
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