Goldbach's Conjecture - a question about prime sums of odd numbers...

[Eric Cordian]

Jim Choate writes:

> Hi,

> I have a question related to Goldbach's Conjecture:

> All even numbers greater than two can be represented as the sum of primes.

All even numbers greater than two can be represented as the sum of 
TWO primes. 

> Is there any work on whether odd numbers can always be represented as the
> sum of primes? 

Goldbach originally suggested that all numbers greater than two could be
expressed as the sum of three primes, if one tossed in 1 as a prime
number.  Euler pointed out that this was equivalent to even numbers
greater than two being expressed as the sum of two primes. 

This seemed a somewhat cleaner formulation, and it was adopted.

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