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PreprintCC BY 4.0arXiv

Some Bounds on the Lehmer Index

  • Xiaodong Zhuang
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Abstract

In this paper, the relationship is studied between the Lehmer index and the reciprocal sum of the prime factors of a Lehmer number. Some upper bounds and a lower bound are proposed for the Lehmer index. Another constraint on Lehmer index is also proposed if a Lehmer number has 3 as its prime factor.

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Cite

BibTeXRIS
BibTeX
@misc{zhuang2026some,
  title = {{Some Bounds on the Lehmer Index}},
  author = {Xiaodong Zhuang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18943},
  eprint = {2610.18943},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18943},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Some Bounds on the Lehmer Index
AU  - Xiaodong Zhuang
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18943
UR  - https://arxiv.org/abs/2610.18943
AB  - In this paper, the relationship is studied between the Lehmer index and the reciprocal sum of the prime factors of a Lehmer number. Some upper bounds and a lower bound are proposed for the Lehmer index. Another constraint on Lehmer index is also proposed if a Lehmer number has 3 as its prime factor.
ER  -