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Article #4383

Re: Free, high-quality factorization software

#4383
From: Craig Schulenberg
Date: Mon, 09 Mar 1998 00:00
43 lines
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Craig W. Schulenberg
Schulenberg & Associates, Inc.
email: cschulen@schulenberg.com
website: http://www.schulenberg.com
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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.

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Craig W. Schulenberg
Schulenberg & Associates, Inc.
email: cschulen@schulenberg.com
website: http://www.schulenberg.com
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From: "Craig Schulenberg" <cschulen@schulenberg.com>
Subject: Re: Free, high-quality factorization software
Date: 1998/03/09
Message-ID: <3504a441.0@news.ghgcorp.com>
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References: <3502d5f8.0@news.ghgcorp.com> <350421C2.C87229E6@pcmath126.unice.fr>
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