--- Jose Ram�n Brox <

ambroxius@...> wrote:

> And how do you know that there aren't even numbers bigger than 400 that

> would need 11, 17... as necessary primes for achieve GC?

I have numerical evidence up to 30000.

> Do you have a proof? If not, how did you come to that claim?

>

> Jose Brox

Of course I don't have a proof. :) I'm appealing to just numerical evidence.

I would be curious to see the Unnecessary primes up to a million or so, perhaps

tested to a billion. Are there any patterns in them? What is their percentage?

I made a list of Unnecessary Triangular numbers for Gauss's tri+tri+tri=x for

any number x a few years back, and thought I would do the same for Prime

numbers and Goldbach's conjecture, just to see if they were already in OEIS.

--Ed Pegg Jr

> From: <ed@...>

> I claim that the following primes are unnecessary for GC.

>

> 11, 17, 29, 41, 59, 67, 71, 73, 89, 97, 103, 127, 137, 149, ...

>

> Here are the even numbers up to 400 expressed without these

> primes. Can anyone extend the list of Unnecessary Primes --

> or perhaps point out some even number where they are necessary?

> --Ed Pegg Jr