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arXiv:math/0604376 [math.NT]AbstractReferencesReviewsResources

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

Richard G. E. Pinch

Published 2006-04-17Version 1

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.

Comments: 11 pages, 2 figures
Categories: math.NT
Subjects: 11Y99, 11A51, 11Y11, 11-04
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