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Math Help - Prime # Proof

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    Prime # Proof

    Let a, b, c, and d be natural numbers. Show that if ab = cd, then a + b + c + d is not prime. Generalize.
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    Quote Originally Posted by MATNTRNG View Post
    Let a, b, c, and d be natural numbers. Show that if ab = cd, then a + b + c + d is not prime. Generalize.
    I think the start goes like this:

    a^2+b^2+c^2+d^2

    =a^2+2ab+b^2+c^2-2cd+d^2

    =(a+b)^2+(c-d)^2
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