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Math Help - Mathematical induction of even- numbers ...

  1. #1
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    Question Mathematical induction of even- numbers ...

    Is there a way to prove or to disprove this mathematical induction ?

    Every even-number higher than 2 of N numbers (natural numbers) can be written as sum of two prime-numbers.
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  2. #2
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    Re: Mathematical induction of even- numbers ...

    Given that no one has yet found a solution to that problem, I don't think there would be an easy inductive solution.
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  3. #3
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    Re: Mathematical induction of even- numbers ...

    Thank you for your answer Richard!
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  4. #4
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    Re: Mathematical induction of even- numbers ...

    So there doesnt exist any method used in Discrete Math to prove this yet, right ?
    It cant be done by looking on it as operation '+' upon numeral system(or group) which contains all prime numbers Pn {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ...}; Pn^2 -> E ?
    where E is natural system(group) of natural even numbers (2k) higher than 2.
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