English

Properties of Higher-Order Prime Number Sequences

Number Theory 2023-04-21 v2

Abstract

In this paper, we analyze properties of prime number sequences produced by the alternating sum of higher-order subsequences of the primes. We also introduce a new sieve which will generate these prime number sequences via the systematic selection and elimination of prime number indexes on the real number line.

Keywords

Cite

@article{arxiv.2108.04662,
  title  = {Properties of Higher-Order Prime Number Sequences},
  author = {Michael P. May},
  journal= {arXiv preprint arXiv:2108.04662},
  year   = {2023}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-24T04:59:21.278Z