The Carmichael numbers up to $10^{17}$

Details The Carmichael numbers up to $10^{17}$ The Carmichael numbers up to $10^{17}$

2005-04-06

arxiv.org/abs/math/0504119v1

Mathematics

Number Theory

2 figures

Scientific paper

We extend our previous computations to show that there are 585355 Carmichael
numbers up to $10^{17}$. 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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