Powerful, Power-packed, Power-driven..........Primes!

How many prime numbers less than \(100\) are there which can be expressed in the form \(a^{n}+b^{n}\) where \(a,b\) and \(n\) are all natural numbers and \(n≥2\).

Details and Assumptions:

  • \(a\) and \(b\) can be non-distinct natural numbers.
  • Don't double count the primes.
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