In article <email@example.com>, Paul <firstname.lastname@example.org> wrote:
>Your graph is interesting, but it may be possible to show that >Goldbach's Comet can mislead the intuition. >For example, if there is a very large x (say > 10^18) which can be >expressed as the sum of two primes in very few ways (for example < 10 >ways), then the limitations of such graphs would be shown.
Though Goldbach's conjecture has been verified up to about that number, I don't of anyone hving calculated the number of ways anything like that far.
>Does anyone know of any large near counter-examples to Goldbach's >conjecture?
I have not heard that there are any.
>For example, what's the largest known even number that >can be expressed as the sum of two primes in only 1 way?