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Does the Prime Number Theorem Describe Prime Distribution?

💡 The Answer

  • It states that primes become less frequent as numbers increase.
  • The density of primes near x is approximately 1/ln(x).
  • This theorem provides a rough estimate of prime counting function π(x).
  • It was proven independently by Hadamard and de la Vallée-Poussin in 1896.

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