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 April 8th, 2014, 03:54 AM #1 Senior Member   Joined: Oct 2013 From: Far far away Posts: 431 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, 05:50 AM #2 Math Team   Joined: Apr 2010 Posts: 2,780 Thanks: 361 That's correct, well done  Tags conjecture, corollary, goldbach ,

### goldbach conjecture corollary

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