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Math Help - prooving numbers can be written a certain way

  1. #1
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    prooving numbers can be written a certain way

    does anyone have advice for working with problems involving numbers that can be written as a specific function of integers i.e.

    n^3+2n, where n is an integer

    I want to be able to see which operations will yield results that also may be expressed in this fashion but algebraic manipulation doesn't always get me to an answer.

    Does anyone know any techniques for working with these types of problems?
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  2. #2
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    Can you post the exact question you're working on? It's kind of vague what you're talking about.
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  3. #3
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    i am trying to get a new approach to this type of problem in general, but one example would be proving wheter or not the fermat numbers (2^(2^n)+1) where n is an integer, can be raised to an even power to produce more fermat numbers.
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