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Iterated logarithm
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Johndcook

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Iterated logarithm

  • Logarithms provide a way to express large numbers compactly, and iterated logarithm involves taking the log multiple times until the result is less than or equal to 1.
  • The iterated logarithm is denoted as log*b(x), indicating the number of times you need to take the logarithm base b to reach a value less than or equal to 1.
  • Implementing the iterated logarithm in Python involves a simple function that iterates the logarithm until the desired condition is met.
  • Skewes' bounds and Mersenne primes are examples where iterated logarithms are used to determine the number of iterations required to reach a small value.

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