- Hi everyone...I am John Vincent from the Philippines, I am looking for

some number theory conjectures over the internet and this site was one

of the results I got. Anyway, I am fascinated by the Goldbach

conjecture so much that I decided to look for a possible proof.

Anyway, I have this conjecture, and I have tested it only for very

small numbers. I would be glad if you can provide a proof or a

counterexample using your high-performing computers. The cojecture

goes like this

"for every natural number k greater than or equal to 4, there exist a

natural number r such that

k - r and k + r are both primes"

This is about equidistant primes from a fixed natural number.

Thanks for reading! Have a nice day! - --- On Fri, 1/2/09, moralesjohnvince <moralesjohnvince@...> wrote:
> Hi everyone...I am John Vincent from the Philippines, I am

I.e. for every natural number k>=4, 2k is the sum of 2 primes. This is just a reformulation of Goldbach's conjecture.

> looking for

> some number theory conjectures over the internet and this

> site was one

> of the results I got. Anyway, I am fascinated by the

> Goldbach

> conjecture so much that I decided to look for a possible

> proof.

>

> Anyway, I have this conjecture, and I have tested it only

> for very

> small numbers. I would be glad if you can provide a proof

> or a

> counterexample using your high-performing computers. The

> cojecture

> goes like this

>

> "for every natural number k greater than or equal to

> 4, there exist a

> natural number r such that

> k - r and k + r are both primes"

>

> This is about equidistant primes from a fixed natural

> number.

High-performing computers will probably never provide a proof or disproof of this, but perhaps high-performing mathematicians will instead.

Phil