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

Richard G. E. Pinch
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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.

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Richard G. E. Pinch. 2006-04-17. The Carmichael numbers up to $10^{18}$. https://arxiv.org/abs/math/0604376

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