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April 8th, 2014, 02:54 AM  #1 
Senior Member Joined: Oct 2013 From: Far far away Posts: 429 Thanks: 18  Goldbach conjecture corollary
Prove that if every even number greater than 2 is a sum of two primes (the Goldbach conjecture), then every odd number greater than 5 is a sum of three primes. My attempt I noticed that all odd numbers greater than 5 can be represented by the formula 2n + 3 where n is a natural number 2n is even. If the Goldbach conjecture is true then it can be written as p1 + p2 where p1 and p2 are prime So 2n + 3 = p1 + p2 + 3 3 is also prime Therefore all odd numbers > 5 can be written as p1 + p2 + 3 (the sum of three primes) Is this proof acceptable? Is there a better way? Thanks 
April 8th, 2014, 04:50 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361 
That's correct, well done 

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conjecture, corollary, goldbach 
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