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The Carmichael numbers up to 1018

Richard G. E. Pinch

math.NTarXiv:math/0604376

Abstract

We extend our previous computations to show that there are 1401644 Carmichael numbers up to 1018. 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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