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Article #3603Re: Spacing of Prime Numbers
From: der Mouse
Date: Wed, 13 May 1987 05:48
Date: Wed, 13 May 1987 05:48
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1253 bytes
In article <1392@phred.UUCP>, johns@phred.UUCP (John Stice) writes: > The May issue of DISCOVER magazine [asks] > Prove there is a sequence of at least one million consecutive > integers, none of whom are prime. > [proof, involving 1000003 factorial] > I had always guessed primes were more closely spaced than that. (But > then, number theory is not my forte.) Note that the number in question (1000003!) has over five and a half *million* digits (I obtained this by summing logarithms from 1 to 1000003; the result printed as 5.56573e+06). I somehow don't think that a run of a million composite numbers is too exceptional when you're that far out. der Mouse (mouse@mcgill-vision.uucp)
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Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: arc1-ca.pugleaf.net!utzoo!mnetor!seismo!husc6!cmcl2!philabs!micomvax!musocs!mcgill-vision!mouse From: mouse@mcgill-vision.UUCP (der Mouse) Newsgroups: sci.crypt Subject: Re: Spacing of Prime Numbers Message-ID: <772@mcgill-vision.UUCP> Date: Wed, 13-May-87 01:48:22 EDT Article-I.D.: mcgill-v.772 Posted: Wed May 13 01:48:22 1987 Date-Received: Sun, 24-May-87 03:31:55 EDT References: <1392@phred.UUCP> Organization: McGill University, Montreal Lines: 20 Keywords: Primes