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Article #4384Re: Free, high-quality factorization software
From: Dann Corbit
Date: Mon, 09 Mar 1998 00:00
Date: Mon, 09 Mar 1998 00:00
32 lines
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2689 bytes
Craig Schulenberg wrote in message <3504a441.0@news.ghgcorp.com>... >XIAO Gang wrote in message >Hmm... My online factorisor page (which uses >PARI as backend engine) >>seems MUCH more efficient than your programs! >> >><URL:http://wims.unice.fr/~wims/wims.cgi?cmd=new&module=tool/algebra/factor >.en> >> >>I tried some examples in FACTOR1 who requires up to 1 day to factor by >>your program; my web page (i.e. PARI) gives me exactly the same answer >>in seconds! >> >Please remember that FACTOR1 uses trial division. It is intended as a >complete factorization program only for general, "hard" numbers up to 10**16 >or so. Past that point it should be viewed just as a "front-end" which will >pull out all smaller factors (say up to 10**8 or so) and produce an output >file that is ready for input to Pollard rho, ECM, Williams p-1, Pollard p-1, >SQUFOF (continued fraction), etc. The Pollard rho is available now, >Williams p+1 and Pollard p-1 should be available by the end of March, and >the remainder by end of April. >FACTOR1, however, will easily handle very large numbers (e.g., 10**88+1) >which have penultimate factors less than 10**8-10**9. Have you taken a look at the MIRACL package by Michael Scott? http://simpr1.compapp.dcu.ie/~mike/miracl.html It has these methods and works very well. -- Hypertext C-FAQ: http://www.eskimo.com/~scs/C-faq/top.html C-FAQ ftp: ftp://rtfm.mit.edu, C-FAQ Book: ISBN 0-201-84519-9 Try "C Programming: A Modern Approach" ISBN 0-393-96945-2 Want Software? Algorithms? Pubs? http://www.infoseek.com
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 11516a,2f3cf7b749f36ae1 X-Google-Attributes: gid11516a,public X-Google-Thread: 109d8a,2f3cf7b749f36ae1 X-Google-Attributes: gid109d8a,public X-Google-Thread: 1120ef,2f3cf7b749f36ae1 X-Google-Attributes: gid1120ef,public X-Google-Thread: 10d67e,2f3cf7b749f36ae1 X-Google-Attributes: gid10d67e,public X-Google-Thread: fb57f,2f3cf7b749f36ae1 X-Google-Attributes: gidfb57f,public X-Google-Thread: 102524,2f3cf7b749f36ae1 X-Google-Attributes: gid102524,public From: "Dann Corbit" <dcorbit@solutionsiq.com> Subject: Re: Free, high-quality factorization software Date: 1998/03/09 Message-ID: <6e2e8k$97o$1@client3.news.psi.net> X-Deja-AN: 332508242 Content-Transfer-Encoding: 7bit References: <3502d5f8.0@news.ghgcorp.com> <350421C2.C87229E6@pcmath126.unice.fr> <3504a441.0@news.ghgcorp.com> Mime-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" X-MimeOLE: Produced By Microsoft MimeOLE V4.72.2106.4 Organization: SolutionsIQ Newsgroups: sci.crypt,sci.math,alt.numbers.prime,alt.math.undergrad,alt.math,aus.mathematics