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

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• ... 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 10:20 AM
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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 - 2ï¿½must beï¿½an 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.ï¿½
>
> However, as N - 2 is an even number which is the sum of two prime numbers, N -1 must be an odd number,ï¿½the sum of a prime number + an even number, which is one less than a prime number. Contradiction.
>
> Therefore N cannotï¿½be 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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