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Math Help - Algebra thing AS Level

  1. #1
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    Algebra thing AS Level

    hi.

    how do i prove using the difference of 2 squares that :

    when you take a prime number bigger than 3, square it and then minus 1 the answer is always a multiple of 24

    please helllllp
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  2. #2
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    Hello,
    Quote Originally Posted by Megiarno View Post
    hi.

    how do i prove using the difference of 2 squares that :

    when you take a prime number bigger than 3, square it and then minus 1 the answer is always a multiple of 24

    please helllllp
    Let p be this prime number.

    "square it and then minus 1 the answer" : pē-1
    Use the difference of squares formula.

    Then, remember that a prime number can only be in the form 6k \pm 1, with k \text{ an integer } \ge 1 (if it was \pm 0, 2, 3, 4, p wouldn't be prime)
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  3. #3
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    hm

    i know that the d.o.t.s is now (p+1)(p-1) but where do i go from there?
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