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questions about a "proof" of the Goldbach Conjecture.
Posted:
Nov 26, 2012 12:15 AM


I'm new to sci.math. I came here from comp.ai.philosophy by way of sci.logic because google groups doesn't allow crossposting and several people include c.a.p in their crossposted articles. In sci.logic the Goldbach Conjecture came up with a lot of nonsense and it lead me to start thinking about it. Since my math is pretty rusty I'm having a bit of trouble. I came up with the assertion that there would be a prime p between n and 2n and others identified this as Bertrand's Postulate. I'm using a slighly stronger conjecture that says "all even numbers greater than 7 can be expressed as the sum of two distinct primes." I'm asserting the problem is a topology problem and proposed there would be a proof related to the spacing of equadistant prime from all natural numbers n greater than 3. Today I found http://milesmathis.com/gold3.html It's quite similar to what I proposed. Since it's not an accepted proof I'm assuming there must be a flaw. Is the flaw easy to spot and if so what is it?
Another corollary to my modified Goldbach Conjecture:
There is no natural number n such that for all primes p less than n 2np is not a prime.
If you question that read it again. Sure some 2np will not be prime but not all of them or else n is prime and my stronger version is false or the Goldbach Conjecture is false.
Except where n is a multiple of some prime p, 2np must be prime or a multiple of some prime other than p, http://en.wikipedia.org/wiki/Chen%27s_theorem appears to be a poof that's a bit weaker than what's stated as a proof at http://milesmathis.com/gold3.html I find references to Chen's theorem on the web but I don't see the actual proof of it on the web. How complex is it?



