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4=2+25=2+36=3+3 \begin{aligned} 4 &=& 2+2 \\ 5&=&2+3 \\ 6&=&3+3 \end{aligned}

The above shows that the first 3 positive integers larger than 3 can be expressed as the sum of 2 prime numbers.

Is it true that we can express any positive integer larger than 3 as the sum of 2 prime numbers?

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