A new algorithm for constructing large Carmichael numbers

نویسندگان

  • Günter Löh
  • Wolfgang Niebuhr
چکیده

We describe an algorithm for constructing Carmichael numbers N with a large number of prime factors p1, p2, . . . , pk. This algorithm starts with a given number Λ = lcm(p1 − 1, p2 − 1, . . . , pk − 1), representing the value of the Carmichael function λ(N). We found Carmichael numbers with up to 1101518 factors.

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عنوان ژورنال:
  • Math. Comput.

دوره 65  شماره 

صفحات  -

تاریخ انتشار 1996