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From: schoen@phoenix.Princeton.EDU (Eric R Schoenberg)
Newsgroups: sci.math,sci.crypt
Subject: Re: New Factorization Records
Message-ID: <2722@phoenix.Princeton.EDU>
Date: 29 Apr 88 06:23:31 GMT
References: <7535@boring.cwi.nl> <2675@phoenix.Princeton.EDU> <7537@boring.cwi.nl> <2687@phoenix.Princeton.EDU> <1147@bentley.UUCP>
Reply-To: schoen@phoenix.Princeton.EDU (Eric R Schoenberg)
Organization: Princeton University, NJ
Lines: 30
Keywords: 4,6,8,9,10,12,14,15,16,18,...

In article <1147@bentley.UUCP> tmk@bentley.UUCP (59481-TM Ko) writes:
>In article <2687@phoenix.Princeton.EDU> schoen@phoenix.Princeton.EDU (Eric R Schoenberg) writes:
>>
>>I know that it has been proven that x^2 + x + 41 will produce the longest
			^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
>>consecutive string of primes, but is there some general theorem about the
> ^^^^^^^^^^^^^^^^^^^^^^^^^^^^


>Are you considering quadratics only?

>Even for the quadratic case,
>would someone show me how to prove this or refer me to any reference which
>contains a proof.

>I believe I have seen other polynomials that produce "?more than 100?"
>consecutive string of primes. (may be I am wrong)


>Tsz-Mei Ko



Thanks to all who sent me e-mail with references and comments.  I 
appreciate it very much.  As to this question, I seem to remember John
Conway mentioning in our Junior seminar that this was proved for quadratics.
It was 18 months ago, so I'm not sure.  I could ask him again.


Randy