IJPAM: Volume 11, No. 1 (2004)
Abstract.The exact probability distribution of the first digit of integer powers up to an arbitrary but fixed number of digits is derived. Based on its asymptotic distribution, it is shown that it approaches Benford's law very closely for sufficiently high powers.
Received: October 15, 2003
AMS Subject Classification: 11B83, 11K31, 11Y55, 62E15, 62E20
Key Words and Phrases: integer sequence, powers, first digit, Benford's law, asymptotic distribution
Source: International Journal of Pure and Applied Mathematics