ON THE NORMAL NUMBER OF PRIME FACTORS OF p-l AND SOME RELATED PROBLEMS

@inproceedings{Pillai2002ONTN,
title={ON THE NORMAL NUMBER OF PRIME FACTORS OF p-l AND SOME RELATED PROBLEMS},
author={Subramanian Sorimuthu Pillai},
year={2002}
}

THIS paper is concerned wit,h some problems considered by Hardy and R’amanujan, Titchmarsh, and Pillai. Suppose we are given a set ii of positive integers m. Let N(n,) denote Dhe number of m in t’he interval (0, n). By saying t’hat the norma, number of prime factors of a number m is B(n), we mean Dha’t, as n + co, t,here are only o[N(n)] of the m (< n) for which the number of prime factors does not lie between (1 -&c)B(n) for arbikarily small positive E. We use throughout the following not… CONTINUE READING