中文

The Carmichael numbers up to $10^{18}$

数论 2007-05-23 v1

摘要

We extend our previous computations to show that there are 1401644 Carmichael numbers up to 101810^{18}. As before, the numbers were generated by a back-tracking search for possible prime factorisations together with a ``large prime variation''. We present further statistics on the distribution of Carmichael numbers.

引用

@article{arxiv.math/0604376,
  title  = {The Carmichael numbers up to $10^{18}$},
  author = {Richard G. E. Pinch},
  journal= {arXiv preprint arXiv:math/0604376},
  year   = {2007}
}

备注

11 pages, 2 figures