\(n' = n\)

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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