Significant Digits of Primes in Subsets

Henry Glunz

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arXiv · 2207.07204

Significant Digits of Primes in Subsets

Henry Glunz

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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.

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Henry Glunz. 2022-07-14. Significant Digits of Primes in Subsets. https://arxiv.org/abs/2207.07204

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