The number of prime divisors of consecutive integers

Balasubramanian, R. ; Laishram, Shanta ; Shorey, T. N. ; Thangadurai, R. (2009) The number of prime divisors of consecutive integers Journal of Combinaorics and Number Theory, 1 (3). pp. 65-73. ISSN 1942-5600

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Official URL: http://www.isid.ac.in/~shanta/PAPERS/BSSTJCNT.pdf

Abstract

It is shown under Schinzel's Hypothesis that for a given l≥ 1, there are infinitely many k such that a product of k consecutive integers each exceeding k is divisible by exactly π(2k)− l prime divisors.

Item Type:Article
Source:Copyright of this article belongs to Nova Science Publishers, Inc..
Keywords:Schinzel's Hypothesis; Prime Divisors
ID Code:67719
Deposited On:31 Oct 2011 13:29
Last Modified:31 Oct 2011 13:29

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