Goldbach’s Conjecture

Have you ever heard of “Goldbach’s conjecture”? It is one of the most well-known unsolved math problems. It states
“Every even integer greater than 2 can be expressed as the sum of two primes.”
Let’s check this statement with some even numbers.
6?   6=3+3
8?   8=3+5
10 has two expressions, 3+7 and 5+5.
In fact, a computer search has shown that Goldbach’s conjecture is true for all even integers less than 4,000,000,000,000,000,000 (four quintillion, that’s a 4 with 18 zeroes).
But, is this statement true for all even integers? Since 1742, a lot of mathematicians have tried to prove this, but all of them failed.
It is easy to understand the meaning of the conjecture, but hard to solve it. This problem has remained unsolved for about 300 years. Possibly, you may solve it!

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