Path: utzoo!mnetor!uunet!husc6!cmcl2!brl-adm!brl-smoke!gwyn From: gwyn@brl-smoke.ARPA (Doug Gwyn ) Newsgroups: sci.crypt Subject: Re: Fermat's Last Theorem apparently proven Message-ID: <7449@brl-smoke.ARPA> Date: 13 Mar 88 08:30:02 GMT References: <977@thumper.bellcore.com> <7440@brl-smoke.ARPA> <26797@linus.UUCP> Reply-To: gwyn@brl.arpa (Doug Gwyn (VLD/VMB) ) Organization: Ballistic Research Lab (BRL), APG, MD. Lines: 12 In article <26797@linus.UUCP> bs@linus.UUCP (Robert D. Silverman) writes: -In article <7440@brl-smoke.ARPA> gwyn@brl.arpa (Doug Gwyn (VLD/VMB) ) 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. -A proof of the RH would give important cryptographic results. -It would mean a fast, deterministic Polynomial Time prime proving algorithm. Something is wrong with this reasoning, Bob. Since practically everyone believes the RH is true, why not assume it is and produce the Polynomial- Time algorithm you mention. What advantage would a formal proof of RH (that perhaps few could understand anyway) bring to that effort?