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On Formulae for the Nth Prime Number

Published online by Cambridge University Press:  03 November 2016

C. P. Willans
C. P. Willans*
Affiliation:
The University, Birmingham
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Extract

Let pn denote the nth prime number. (p1=2, p2 = 3, etc.)

Let [x] denote the greatest integer which is not greater than x.

From Wilson’s theorem, is an integer for x = 1 and for all prime values of x; but is fractional for all composite values of x.

Type
Research Article
Information
The Mathematical Gazette , Volume 48 , Issue 366 , December 1964 , pp. 413 - 415
Copyright
Copyright © Mathematical Association 1964

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