English

Improving the Estimates for a Sequence Involving Prime Numbers

Number Theory 2017-06-14 v1

Abstract

Based on new explicit estimates for the prime counting function, we improve the currently known estimates for the particular sequence Cn=npnknpkC_n = np_n - \sum_{k \leq n}p_k, n1n \geq 1, involving the prime numbers.

Keywords

Cite

@article{arxiv.1706.04049,
  title  = {Improving the Estimates for a Sequence Involving Prime Numbers},
  author = {Christian Axler},
  journal= {arXiv preprint arXiv:1706.04049},
  year   = {2017}
}

Comments

4 pages

R2 v1 2026-06-22T20:17:29.045Z