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How Are the Prime Numbers Distributed?

  • Paulo Ribenboim

Abstract

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 The proofs also 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.

Keywords

Prime Number Zeta Function Arithmetic Progression Critical Line Riemann Function 
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Copyright information

© Paulo Ribenboim 1991

Authors and Affiliations

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

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