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Article #4124

Re: Fermat's Last Theorem apparently proven

#4124
From: Robert D. Silverman
Date: Sun, 13 Mar 1988 03:57
14 lines
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In article <7440@brl-smoke.ARPA> gwyn@brl.arpa (Doug Gwyn (VLD/VMB) <gwyn>) writes:
:In article <977@thumper.bellcore.com> karn@thumper.bellcore.com (Phil R. Karn) writes:
:>I wonder what implications this might have for cryptography?
:
:Probably just as many as a proof of the Riemann hypothesis.


Sorry, this is not correct. The proof of FLT by Miyaoka has important
implications (it makes some of Falting's results effective, for example)
but they are not in cryptography. A proof of the RH would give important
cryptographic results. It would mean a fast, deterministic Polynomial
Time prime proving algorithm.

Bob Silverman
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Path: arc1-ca.pugleaf.net!utzoo!mnetor!uunet!husc6!linus!bs
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Path: arc1-ca.pugleaf.net!utzoo!mnetor!uunet!husc6!linus!bs
From: bs@linus.UUCP (Robert D. Silverman)
Newsgroups: sci.crypt
Subject: Re: Fermat's Last Theorem apparently proven
Message-ID: <26797@linus.UUCP>
Date: 13 Mar 88 03:57:48 GMT
References: <977@thumper.bellcore.com> <7440@brl-smoke.ARPA>
Reply-To: bs@linus.UUCP (Robert D. Silverman)
Organization: The MITRE Corporation, Bedford MA
Lines: 14