# Prime numbers that are sums of Prime numbers themselves [closed]

what is the minimum prime number that is the sum of exactly two odd prime numbers?

i.e I want to find a counter example to:

$$p_i+p_j \in \mathbb P \operatorname{iff} i=1 \lor j=1$$

## closed as off-topic by Morgan Rodgers, Claude Leibovici, Key Flex, Gibbs, Don ThousandOct 14 '18 at 13:11

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• If prime numbers are allowed to be negative then the answer is $-2=3+(-5)$ for example. – Mark Bennet Oct 13 '18 at 7:16