中文

相邻两素数间的间隙 $g_n$ 满足 $g_n=O({p_n}^{2/3})$

数论 2020-06-09 v2

摘要

本文使用不围绕黎曼假设或筛法的论证证明了如下结论。若 pnp_n 为第 nn 个素数且 gn=pn+1png_n=p_{n+1}-p_n,则 gn=O(pn2/3)g_n=O({p_n}^{2/3})

关键词

引用

@article{arxiv.2004.10528,
  title  = {The gap $g_n$ between two consecutive primes satisfies $g_n=O({p_n}^{2/3})$},
  author = {Madieyna Diouf},
  journal= {arXiv preprint arXiv:2004.10528},
  year   = {2020}
}

备注

6 pages