Pollack, P and Roy, AS (2022)

Benford Behavior and Distribution in Residue Classes of Large Prime Factors

Preprint; last accessed May 30, 2022.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.

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Abstract: We investigate the leading digit distribution of the kth largest prime factor of n (for each xed k = 1,2,3,...) as well as the the sum of all prime factors of n. In each case, we find that the leading digits are distributed according to Benford’s law. Moreover, Benford behavior emerges simultaneously with equidistribution in arithmetic progressions uniformly to small moduli.

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Bibtex:
@misc{, author = {Paul Pollack And Akash Singha Roy}, title = {Benford Behavior and Distribution in Residue Classes of Large Prime Factors}, year = {2022}, url = {http://pollack.uga.edu/smoothbenford.pdf}, }

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Reference Type: Preprint

Subject Area(s): Number Theory

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