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

Richard G. E. Pinch

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

Number Theory 2007-05-23 v1

Authors: Richard G. E. Pinch

Abstract

We extend our previous computations to show that there are 1401644 Carmichael numbers up to $10^{18}$ . 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.

Cite

@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}
}

Comments

11 pages, 2 figures

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