All prime numbers greater than 2 are odd numbers. For an odd prime to be written as the sum of two primes, one of the primes must be 2 because two odd primes will produce an even sum.
11 cannot be written as the sum of two primes.
13 = 2 + 11.
17 cannot be written as the sum of two primes.
19 = 2 + 17.
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