Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-28T01:10:54.602Z Has data issue: false hasContentIssue false
  • English
  • Français

Formula for the Nth Prime Number

Published online by Cambridge University Press:  20 November 2018

James P. Jones
James P. Jones*
Affiliation:
University of Calgary, Calgary, Alberta
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this note we give a simple formula for the nth prime number. Let pn denote the nth prime number (p1=2, p2 = 3, etc.). We shall show that pn is given by the following formula.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 433 - 434
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Dudley, Underwood, History of a formula for primes, Amer. Math. Monthly 76 (1969) 23-28.Google Scholar
2. Goodstein, R. L. and Wormell, C. P., Formulae for primes, The Math. Gazette 51 (1967) 35-38.Google Scholar
3. Rosser, J. Barkley and Schoenfeld, Lowell, Approximate formulas for some functions of prime numbers, Illinois Jour, of Math. 6 (1962) 64-94.Google Scholar
4. Willans, C. P., On formulae for the nth prime number, The Math. Gazette 48 (1964) 413-415.Google Scholar