Prove that p^2 – 1 is Divisible by 24


Prove that p^2 – 1 is divisible by 24 if p is a prime number greater than 3?

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    According to this question

    p^2 – 1 = 24*X let X>0

    after solving this equation we will get

    p = sqrtof(24*X+1)

    now put the values of X

    when X=1 , p=5
    when X=2 , p=7
    when X=5 , p=11

    we will not consider X=3 and X=4 because we will not get the perfect squares…..:)

    Detective Expert Answered on 12th July 2015.
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