At 15:26 13-11-98 -0800, you wrote:
>I ran across an interesting statement on the top of a math paper that I
>was helping my sister with. It said that every even number greater than 4
>is the sum of two primes. I am curious if this has been proven and if
>anyone knows where I could find more info about this. Thanks.
>
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As far as I know, it has been PROVEN that:
(*) each odd number >= 7 can be written as the sum of 3 prime numbers.
7=2+2+3
9=3+3+3
11=3+3+5
etc.
If Goldbach's conjecture is true it is very easy to logically imply that
theorem * is true. Just take an even number and add 3 to it. An implication
doesn't work in the reverse direction, except if you logically NOT both
terms, so from * we unfortunately can't conclude that Goldbach's theorem is
true. It remains as an open question. Sorry...
Nico Sterk.
