# Consecutive Primes

Define $\text{sum}(N)$ which returns the sum of digits of a number.

Find the smallest pair of consecutive primes $a$ and $b$ which such that $\text{sum}(a) = \text{sum}(b)$. Enter your answer as $a + b$.

Details and Assumptions:

• Consecutive prime numbers refers to a sequence of two prime numbers which don't have any prime number between them. For example: 2 and 3 are consecutive primes, 37 and 41 are consecutive primes.

• As an explicit example: $\text{sum}(37) \neq \text{sum}(41)$ because $3+7\neq 4+1$. So 37 and 41 are not such numbers.

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