# [NT] Goldbach Conjecture

Discussion in 'Math Research' started by Daniel Dudley, Sep 1, 2005.

1. ### Daniel DudleyGuest

I'm trying my hand at an alternative formulation of the
Goldbach conjecture, namely:

For every natural n >= 2, there are primes p and q
that straddle n at equidistance d >= 0.

If n=p=q then d=0, otherwise 0 < d < n-2.
Clearly if d=1 then p,q are twin primes.

I like this alternative formulation because it explicitly
defines what would be required of a proof. Other variations
of the conjecture that I have seen do not get to the point
(although they do, of course, imply the same).

Feedback is most welcome!

Cheers,
Daniel

Daniel Dudley, Sep 1, 2005