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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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The Carmichael numbers up to $10^ {15}$
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by R. G. E. Pinch PDF
Math. Comp. 61 (1993), 381-391 Request permission

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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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Math. Comp. 61 (1993), 381-391
  • MSC: Primary 11Y11; Secondary 11Y70
  • DOI: https://doi.org/10.1090/S0025-5718-1993-1202611-7
  • MathSciNet review: 1202611