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?
Yes, please explain more about Goldbach's conjecture.
Okay. So, as I mentioned earlier, Goldbach's conjecture states that every even number greater than 2 can be expressed as the sum of two prime numbers. Although this has not been proven for all even numbers, mathematicians have tested it for every even number up to 4 x 10^18, and so far it has held true. One example of this is that 10 can be expressed as 7+3, which are both prime numbers.