Any even number greater than 2 can be expressed as the sum of two prime numbers. How to prove?

Any even number greater than 2 can be expressed as the sum of two prime numbers. How to prove?


It's a real question. I don't know Goldbach's conjecture. We can easily draw the following conclusions: 4 = 2 + 2, 6 = 3 + 3, 8 = 5 + 3, 10 = 7 + 3, 12 = 7 + 5, 14 = 11 + 3 So, can all even numbers greater than 2 be expressed as two prime numbers



The sum of two prime numbers must be even______ .


For example: 2 + 3 = 5, 5 is odd, 2 + 5 = 7, 7 is prime; therefore, the sum of two prime numbers must be even



The proof that any even number greater than or equal to 6 can be expressed as the sum of two odd primes


In 1742, German mathematician Goldbach proposed that every even number not less than 6 is the sum of two odd primes; every odd number not less than 9 is the sum of three odd primes. We can easily get the following conclusions: 4 = 2 + 2, 6 = 3 + 3, 8 = 5 + 3, 10 = 7 + 3, 12 = 7 + 5, 14 = 11 + 3 So, are all even numbers greater than 2