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Significant Digits of Primes in Subsets

Number Theory 2022-07-18 v1

Abstract

Benford's Law describes the prevalence of small numbers as the leading digits of numbers in many sets of integers. We prove a variant of Benford's law for many positive-density subsets of the primes. This follows from a more general result over number fields.

Keywords

Cite

@article{arxiv.2207.07204,
  title  = {Significant Digits of Primes in Subsets},
  author = {Henry Glunz},
  journal= {arXiv preprint arXiv:2207.07204},
  year   = {2022}
}

Comments

6 pages

R2 v1 2026-06-25T00:55:50.666Z