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On the Product of the Primes not Exceeding n
Published online by Cambridge University Press: 20 November 2018
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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
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- Copyright
- Copyright © Canadian Mathematical Society 1959
References
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
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