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21st Days of Weak Arithmetics
June 7-9, 2002
Steklov Institute of Mathematics
St. Petersburg, Russia

Organizers
Paola d'Aquino (Italy), Anatoly Beltiukov (Russia), Patrick Cegielski (France), Gregory Kucherov (France), Krzysztof Lorys (Poland), Yuri Matiyassevich (Russia), the chairman, Jean-Pierre Ressayre (France), Denis Richard (France), Maxim Vsemirov (Russia)

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On the Number of Prime Divisors of Higher-Order Carmichael Numbers
by
Oleg Eterevsky
St.Petersburg State University
Coauthors: Maxim Vsemirnov (Steklov Institute of Mathematics)

The higher-order rigid and non-rigid Carmichael numbers form the subclasses of the usual Carmichael numbers and they share some nice properties. In this paper we prove non-trivial lower bounds for the number of prime divisors of rigid and non-rigid Carmichael numbers of order m.

Date received: April 2, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cail-13.