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
- Anybody can ask a question
- Anybody can answer
- The best answers are voted up and rise to the top
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.:)
Well, it's either the sum of an odd prime +2 or the sum of two odd primes which is always an even number. The sum of an odd prime + 2 is always odd, so we can scratch out the prime 2 and focus on the odd primes.
So then ask, does the combination of all odd primes taken two at a time cover every even number? And the answer is yes.