We define a *merge prime* as a prime number that can be split into two prime numbers.

Some examples of merge primes are:

- 73 because 7 and 3 are both prime numbers.
- 373 because 37 and 3 are both prime numbers.

What are the last three digits of the sum of all 7-digit merge primes?

**Clarification**

- \(9998903\) is a merge prime because \(99989\) and \(3\) are primes.

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