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On the Product of the Primes not Exceeding n

Published online by Cambridge University Press:  20 November 2018

Leo Moser
Leo Moser*
Affiliation:
University of Alberta
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One of the most elegant results of the elementary theory of the distribution of primes is that

1

where the product runs over primes. A very simple proof of (1) has recently been given by Erdös and Kalmar [1], [2].

Type
Notes on Number Theory I
Information
Canadian Mathematical Bulletin , Volume 2 , Issue 2 , 01 May 1959 , pp. 119 - 121
Copyright
Copyright © Canadian Mathematical Society 1959

References

1. Trost, E., Primzahlen, (Basel, 1953), 57.Google Scholar
2. Hardy, G.H. and Wright, E.M., The Theory of Numbers, 3rd ed. (Oxford, 1954), Chap XXII.Google Scholar
3. Rosser, J.B., Explicit bounds for some functions of prime numbers, Amer. J. Math. 63 (1941), 211-232.Google Scholar