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Article #146

THEORY NET: Fermat vs. Rabin ...

#146
From: arvind
Date: Wed, 16 Sep 1987 20:33
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Date: Mon, 14 Sep 87 11:48:03 +0200
From: brassard@cwi.nl (Gilles Brassard)
Subject: Fermat vs Rabin false witnesses
     
   I need the following result in a paper that I am
currently revising.  Although I have a proof (largely due
to an anonymous referee), it would save me substantial
typesetting effort if I could simply quote a reference
where this has already been proved (if this is so).
     
My question is:  Is the following already known and,
                 if so, what is the best reference to it ?
     
Theorem:  Consider any odd composite integer which is not
          a prime power.  It has at least twice as many
          Fermat false witnesses of primality than it
          has Rabin (i.e.: strong) false witnesses.
     
Thank you in advance.
                         - Gilles Brassard
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Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Path: arc1-ca.pugleaf.net!utzoo!utgpu!utcsri!arvind
From: arvind@utcsri.UUCP
Newsgroups: ut.theory
Subject: THEORY NET: Fermat vs. Rabin ...
Message-ID: <5407@utcsri.UUCP>
Date: Wed, 16-Sep-87 16:33:13 EDT
Article-I.D.: utcsri.5407
Posted: Wed Sep 16 16:33:13 1987
Date-Received: Fri, 18-Sep-87 04:09:20 EDT
Distribution: ut
Organization: CSRI, University of Toronto
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