How Are the Prime Numbers Distributed?

Paulo Ribenboim
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Paulo Ribenboim: Queen’s University, Department of Mathematics and Statistics

Chapter 4 in The New Book of Prime Number Records, 1996, pp 213-322 from Springer

Abstract: 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. 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.

Keywords: Prime Number; Zeta Function; Arithmetic Progression; Riemann Hypothesis; Prime Number Theorem (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-1-4612-0759-7_5

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