Xref: utzoo sci.math:3536 sci.crypt:1045 Path: utzoo!mnetor!uunet!husc6!rutgers!mtunx!mtunj!io!granjon!edsel!bentley!tmk From: tmk@bentley.UUCP (TM Ko) Newsgroups: sci.math,sci.crypt Subject: Re: New Factorization Records Message-ID: <1147@bentley.UUCP> Date: 28 Apr 88 22:24:33 GMT References: <7535@boring.cwi.nl> <2675@phoenix.Princeton.EDU> <7537@boring.cwi.nl> <2687@phoenix.Princeton.EDU> Reply-To: tmk@bentley.UUCP (59481-TM Ko) Organization: AT&T Bell Laboratories, Liberty Corner Lines: 30 Keywords: 4,6,8,9,10,12,14,15,16,18,... 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 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^ > >Randy Schoenberg 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 ARPA: bentley!tmk@att.ARPA AT&T Bell Labs UUCP: tmk@bentley.UUCP LC 3S-D20 184 Liberty Corner Road {att-ih,decwrl,amdahl,linus}!ihnp4!bentley!tmk Warren, NJ 07060-0908 *******************************************************************************