Goldbach's Conjecture?

[Sc0rp]

Anyone read the book about Goldbach's conjecture, it says every even number that's larger than 2 can be formed by summing two prime numbers. A 250 year-old problem.

I heard it's been proved, is this true?

[wossname]

By summing, I assume you mean use the 2 primes as operands in an addition or subtraction calculation?

Well, there are plenty of paired-primes (17,19), (37,39) etc, so 2 can be made very easily. 19-17=2.

To get three, you can do 5-2=3.

4=11-7
5=7-2
6=11-5
7=?

Can't think of an immediate way to get 7...any prime number plus 7 yields an even number, which of course isn't prime material!

Or am I missing something?

[Sc0rp]

• No, the rule is like so: Any even natural number can be formed by adding two prime numbers:
  
  2n = p1 + p2
  
  n: Any natural number larger or equal to two.
  p1, p2: Any prime number.
  
• The problem is that it hasn't been proved for the past 300 years or so.