Goldbach's Conjecture

Here's a famous unsolved problem: is every even number greater than 2 the sum of
2 primes?

The Goldbach conjecture, dating from 1742, says that the answer is yes.

Some simple examples:
4=2+2, 6=3+3, 8=3+5, 10=3+7, ..., 100=53+47, ...

What is known so far:
Schnirelmann(1930): There is some N such that every number from some point onwards can be written as the sum of at most N primes.
Vinogradov(1937): Every odd number from some point onwards can be written as the sum of 3 primes.
Chen(1966): Every sufficiently large even integer is the sum of a prime and an "almost prime" (a number with at most 2 prime factors).

Try it! Its really very interesting.

Well! Can you prove or disprove Goldbach’s conjecture.