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

17 Apr 2006 · Richard G. E. Pinch ·

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.