The conversation between human and AI assistant.
Even numbers greater than 3 are always a sum of two prime numbers. How do I prove it?
I want to know how to prove that even numbers greater than 3 are always a sum of two prime numbers. Can you help me with that?
Sure. That's a very interesting question. There are actually several ways to prove this. One of the most famous methods is called Goldbach's conjecture. It states that every even number greater than 2 can be expressed as the sum of two prime numbers. Would you like me to explain it to you?