not yet a conventional proof of Goldbach #5.30 Correcting Math
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From: Archimedes Plutonium on 13 Aug 2010 02:24 Archimedes Plutonium wrote: (snipped) > > If there is a theorem that can be proven that given any Goldbach > summand pair for Even > Integers >6 that the process above always insures a new two prime > summand pair. > > So I have reduced the Goldbach Conjecture to a theorem that says > basically every Even > Integer >6 has a new prime summand pair out of the Repair Kit (K-2,2) Let me look at the first few Goldbach summands with their metric spacing: for 8 we have (5,3) with a 2 length metric for 10 we have (7,3) with a 4 length metric for 12 we have (7,5) with a 2 length metric for 14 we have (11,3) with a 8 length metric for 16 we have (13,3) with a 10 length metric for 18 we have (11,7) with a 4 length metric for 20 we have (13,7) with a 6 length metric Now can we modify the Chebychev theorem that says between M and 2M must exist a prime, and can we modify it far enough so as to say something like the above illustration that between 10 and 20 there must exist Goldbach summands that have a 0 length metric, a 2, and 4 and 6, and 8 and 10 length metric? I think a proof of that sort of a theorem is very much do-able. Conjecture-theorem: Between M and 2M there exists prime pairs of 0metric to M-metric. Maybe such a theorem already exists but the wording is far different than the above application wants. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |