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arXiv:math/0504119 [math.NT]AbstractReferencesReviewsResources

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

Richard G. E. Pinch

Published 2005-04-06Version 1

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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