TITLE: Express an even number as a sum of primes
QUESTION [6 upvotes]: Show that every even natural number grater than $2$ can be expressed as a sum of two prime numbers.
No idea how to prove this. Can you help? thanks

REPLY [6 votes]: This is known as Goldbach's conjecture. This still remains unproved till date. I bet you will make a great fame if you find the proof. All the best with that.:)