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Primes'_Medium_Theorem_and_Goldbach_conjecture

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103300] Primes'_Medium_Theorem_and_Goldbach_conjecture
  • From: a boy <a.dozy.boy at gmail.com>
  • Date: Mon, 14 Sep 2009 07:10:49 -0400 (EDT)

<img src="http://docs.google.com/View?id=dc3chq94_3g75hb6fh"/>

Prime axiom => Primes' Medium Theorem => Enhanced Goldbach conjecture.
This is my proof to Goldbach conjecture. n-=F0(n) is the key.

Mathematica code:
n=10
Prime[n]
PrimePi[n]
primeList3=Table[Prime[i],{i,2,n}];
sets=Subsets[primeList3,{2}];
mediumList=Join[primeList3,Sum[x,{x,#}]/2&/@sets];
mediumSet=Sort[DeleteDuplicates[mediumList]]
 For[j=1,j<=Length[mediumSet],j++,
  If [mediumSet[[j]] >(2+j),Break[]]
  ];
mediumSup =mediumSet[[j-1]]
pos=(Prime[n]+Prime[n-PrimePi[n]])/2
mediumSup-pos
tally=Tally[mediumList];
Max[Last/@tally]


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