About Goldbach Conjecture: https://en.wikipedia.org/wiki/Goldbach%27s_conjecture
Doubt 1
"The best known result is due to Olivier Ramaré, who in 1995 showed that every even number n ≥ 4 is in fact the sum of at most six primes.".
About this legation I think: Or, this is wrong. Or, this is badly formulated.
The number 124, for example, is the sum of 8 prime numbers. 5+7+11+13+17+19+23+29 = 124
That is, it has already exceeded that maximum sum of 6 prime numbers.
How is this interpreted?
Doubt 2
Goldbach conjecture
"Every even integer greater than 2 can be expressed as the sum of two primes".
I concluded that this conjecture is equivalent:
"Every EVEN integer greater than 2 can be expressed as the sum of an amount EVEN of prime numbers".
That is, 2,4,6,8, etc.
I published my thoughts here
http://psicolagem.blogspot.com.br/2017/02/goldbach-conjecture-2017-or-conjecture.html
Can you see something wrong with that?
For your first question, you are misunderstanding the statement. Ramare proved that if $n$ is an even number $\ge 4$, then we can find prime numbers $p_1, p_2, . . ., p_i$ for some $i\le 6$ such that $n=p_1+...+p_i$. That is, for each even $n\ge 4$ there is some $i\le 6$ such that $n$ can be written as the sum of $i$ primes.
For example, you look at $124$; well, $124$ can be written as the sum of two primes ($113+11$), and two is at most (that is, $\le$) six. The fact that such an $n$ can also be written as the sum of more than $6$ primes, has nothing to do with Ramare's result.
For your second question, you give no justification at all: how is it that you think Goldbach is equivalent to your statement? Certainly Goldbach implies it since $2$ is even, but how on earth do you claim that the converse holds? Suppose you could write an even $n\ge 4$ as the sum of $24$ primes ($24$ is just some random even number); how would you use this to write $n$ as the sum of $2$ primes?