Can a number N be expressed as sum of different primes. And if so, can we say goldbach conjecture is just a special case of it?

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I was looking into Goldbach Conjecture proof.

Is it proved that we can express any integer as a sum of different primes.

And if yes, Goldbach conjecture says we can do that with even numbers and only two primes...

Isn't Goldbach just a special case of this?

And can we move beyond this and say we can express any number as the sum of Say P primes.

I mean every even number is made up of 2's....

That's prime. Just more than two.