Weak Goldbach

Four years ago, Paul noticed that 2013 2013 could be written as a sum of two primes as follows: 2013 = 2011 + 2. 2013 = 2011 + 2. Are there any other ways he could have broken 2013 2013 as a sum of two primes?

No Yes

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1 solution

As 2013 is odd, one of the numbers must be even, while the other is odd. 2 is the only even prime number, making another addition of 2 primes to 2013 impossible.

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