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April 8th, 2014, 02:54 AM   #1
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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
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April 8th, 2014, 04:50 AM   #2
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That's correct, well done
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