IJPAM: Volume 7, No. 4 (2003)
ON THE DISTRIBUTION OF

H.L. Hutson
Department of Mathematics
The US Merchant Marine Academy
Kings Point
Great Neck, NY 11024, USA
e-mail: hutsonh@usmma.edu
Department of Mathematics
The US Merchant Marine Academy
Kings Point
Great Neck, NY 11024, USA
e-mail: hutsonh@usmma.edu
Abstract.A classical theorem of Franel says that the proportions of a given digit in the jth place after the decimal point in a table of log(),
=1,2,3,...are dense in a non trivial interval. We revive this result by considering the subtleties that occur when one restricts attention to a table of log(
),
prime.
Received: April 27, 2003
AMS Subject Classification: 11A41, 11K06
Key Words and Phrases: prime numbers, uniform distribution modulo 1
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 7
Issue: 4