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Math Help - Proof Method and strategy

  1. #1
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    Proof Method and strategy

    Hi,

    I am not able to solve this by proper method. Please someone help.

    Show that if n is perfect square then n-1 is not prime number for all interger n>4.

    Thanks in advance.
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  2. #2
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    Quote Originally Posted by micky_577 View Post
    Show that if n is perfect square then n-1 is not prime number for all interger n>4.
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  3. #3
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    Buddy,

    I did not understand that. Is'nt prefect number is different than perfect squre? Please help me solve the question.

    Thanks
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  4. #4
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    I would argue that if n is a perfect square i.e n=a^2 then n-1 = a^2-1 , now a^2-1 can be factored into (a-1)(a+1) and in turn so can n-1 so it cannot be prime.
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  5. #5
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    Quote Originally Posted by micky_577 View Post
    Buddy,
    I did not understand that. Is'nt prefect number is different than perfect squre? Please help me solve the question.
    First of all, I doubt that I am your ‘buddy’. I have no idea who you could be.
    From this reply it is clear that you don’t even understand your own question.
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  6. #6
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    Please accept my sincere apology Plato. You are really correct in saying that I really did not understand question but I am trying learn man.

    Thank you very much for your help.
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