# $$n' = n$$

Number Theory Level pending

What is the sum of the first two positive integers which satisfy $$n' = n$$, where $$n'$$ is the arithmetic derivative of $$n$$?

Clarification: The arithmetic derivative of $$n$$ is given by:

• $$n' = 0$$ for $$n$$ = 1 or 0.
• $$n' = 1$$ if is prime.
• $$n' = a'b + b'a$$ if $$n$$ is composite, where $$a$$ and $$b$$ are factors of $$n$$
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