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?
Sure, go ahead.
Alright, so the Hardy-Littlewood conjecture is a statement about the distribution of prime numbers. It states that there are approximately x/log(x) prime numbers smaller than x, where log(x) is the natural logarithm of x. Using this conjecture, mathematicians have been able to prove that every sufficiently large even number greater than 4 can be expressed as the sum of two odd prime numbers. This is a slightly different version of Goldbach's conjecture, but it is still very interesting!