American Mathematical Monthly 79(2), pp. 150-152.
ISSN/ISBN: 0002-9890 DOI: Not available at this time.
Abstract: INTRODUCTION: It is well known that the logarithmic density of A, the set of positive integers with initial digit a, is log_{10}(1+1/a). The purpose of this note is to show that the relative logarithmic density of A in the primes is also log_{10}(1+1/a). This is an unusual result because of the irregular distribution of the primes. As a consequence of this result, one might say that 1 is the preferred initial digit for the sequence of primes
Bibtex:
@article {,
AUTHOR = {Whitney, R. E.},
TITLE = {Initial digits for the sequence of primes},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {79},
YEAR = {1972},
PAGES = {150--152},
ISSN = {0002-9890},
}
Reference Type: Journal Article
Subject Area(s): Number Theory