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Article #4383Re: Free, high-quality factorization software
From: Craig Schulenberg
Date: Mon, 09 Mar 1998 00:00
Date: Mon, 09 Mar 1998 00:00
43 lines
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2638 bytes
-- ---------------------------------------------------------------------------- ---- Craig W. Schulenberg Schulenberg & Associates, Inc. email: cschulen@schulenberg.com website: http://www.schulenberg.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. ---------------------------------------------------------------------------- ---- Craig W. Schulenberg Schulenberg & Associates, Inc. email: cschulen@schulenberg.com website: http://www.schulenberg.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: 1120ef,2f3cf7b749f36ae1 X-Google-Attributes: gid1120ef,public X-Google-Thread: fb57f,2f3cf7b749f36ae1 X-Google-Attributes: gidfb57f,public X-Google-Thread: 109d8a,2f3cf7b749f36ae1 X-Google-Attributes: gid109d8a,public X-Google-Thread: 102524,2f3cf7b749f36ae1 X-Google-Attributes: gid102524,public X-Google-Thread: 10d67e,2f3cf7b749f36ae1 X-Google-Attributes: gid10d67e,public From: "Craig Schulenberg" <cschulen@schulenberg.com> Subject: Re: Free, high-quality factorization software Date: 1998/03/09 Message-ID: <3504a441.0@news.ghgcorp.com> X-Deja-AN: 332499405 References: <3502d5f8.0@news.ghgcorp.com> <350421C2.C87229E6@pcmath126.unice.fr> X-MimeOLE: Produced By Microsoft MimeOLE V4.71.1712.3 Newsgroups: sci.crypt,sci.math,alt.numbers.prime,alt.math.undergrad,alt.math,aus.mathematics