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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



The Carmichael numbers up to $ 10\sp {15}$

Author: R. G. E. Pinch
Journal: Math. Comp. 61 (1993), 381-391
MSC: Primary 11Y11; Secondary 11Y70
MathSciNet review: 1202611
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Abstract: There are 105212 Carmichael numbers up to $ {10^{15}}$: we describe the calculations. The numbers were generated by a back-tracking search for possible prime factorizations, and the computations checked by searching selected ranges of integers directly using a sieving technique, together with a "large-prime variation".

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Article copyright: © Copyright 1993 American Mathematical Society

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