On the Spectra of Primes in the Sequence of Least Prime Factors

In the sequence of least prime factors (OEIS A020639), or LPF, for each prime there is a periodic sequence of occurrences, or spectrum. We explore the symmetries in the spectra of LPF and how these symmetries relate to the distribution of primes.

Publication Details

Journal
OPAL (Open@LaTrobe) (La Trobe University)
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.26867275.v24
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Spectra of Primes in the Sequence of Least Prime Factors

OPAL (Open@LaTrobe) (La Trobe University)
Analytic Number Theory Research
article

On the Spectra of Primes in the Sequence of Least Prime Factors

article en

Abstract

In the sequence of least prime factors (OEIS A020639), or LPF, for each prime there is a periodic sequence of occurrences, or spectrum. We explore the symmetries in the spectra of LPF and how these symmetries relate to the distribution of primes.

OPAL (Open@LaTrobe) (La Trobe University)
Openalex Percentile: Top 49%
Analytic Number Theory Research
DOISourceOpenAlex
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On the Spectra of Primes in the Sequence of Least Prime Factors · OPAL (Open@LaTrobe) (La Trobe University) (2025) | TGRS Research Map | TGRS