How Are the Prime Numbers Distributed?

  • Paulo Ribenboim


As I have already stressed, the various proofs of existence of infinitely many primes are not constructive and do not give an indication of how to determine the nth prime number. Equivalently, the proofs do not indicate how many primes are less than any given number N. By the same token, there is no reasonable formula or function representing primes.


Prime Number Zeta Function Arithmetic Progression Riemann Hypothesis Prime Number Theorem 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Paulo Ribenboim
    • 1
  1. 1.Department of Mathematics and StatisticsQueen’s UniversityKingstonCanada

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