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Re: Is this why all Even Numbers >2 are the Sum of Two Primes?

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  • Jean Penné
    ... If N-2 is an even number which is the sum of two prime numbers, N -1 must be an odd number,which the sum of a prime number + an even number, which is one
    Message 1 of 2 , Aug 3, 2009
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      --- In primenumbers@yahoogroups.com, Bob Gilson <bobgillson@...> wrote:
      >
      > Let N be an even number that is the first counter-example of GC
      >
      > Thus N - 2�must be�an even number, the sum of two prime numbers.
      >
      > Thus N - 1 is an odd number, which is not the sum of a prime number + an even number which is not one less than a prime number.�
      >
      > However, as N - 2 is an even number which is the sum of two prime numbers, N -1 must be an odd number,�the sum of a prime number + an even number, which is one less than a prime number. Contradiction.
      >
      > Therefore N cannot�be the first counter-example of GC
      >
      > [Non-text portions of this message have been removed]
      >

      If N-2 is an even number which is the sum of two prime numbers, N -1 must be an odd number,which the sum of a prime number + an even number, which is one MORE than a prime number. There is no contradiction!
      Jean
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