Jim Choate wrote: >> The abstract I remember reading proved GC on a set of finite number >> fields of increasing size, and then inferred it for the integers at the >> end. > That wouldn't be sufficiently robust. Simply because the first n primes do > it is not sufficient to prove that all primes will do it. I believe the idea was that given an integer, there was a number field of sufficient size in the family such that the decomposition w.r.t. the number field was the same as that in Z. Of course, it's hard to tell from reading an abstract whether something is going to sink or swim. This apparently sank, although as I remember it provoked lots of discussion in sci.math and here on the list at the time. > I've been working on GC for several years now and I haven't come across > anything in this regards. There is a page of recent progress on GC (don't > know how often it's updated), The Generalized Riemann Hypothesis implies a weaker version of Goldbach's conjecture involving three primes instead of two. That seems to be the strongest thing they've proved so far. -- Eric Michael Cordian 0+ O:.T:.O:. Mathematical Munitions Division "Do What Thou Wilt Shall Be The Whole Of The Law"
