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Article #4381Free, high-quality factorization software
From: Craig Schulenberg
Date: Sun, 08 Mar 1998 00:00
Date: Sun, 08 Mar 1998 00:00
33 lines
2355 bytes
2355 bytes
I have just released three programs which are available for download. These are all DOS programs for the PC platform, and represent an attempt to construct an integrated system for primality testing and factorization. All programs make use of a consistent interface for input/output of numbers (and commentary), incorporate restart capability so you can resume executions at the point last reached, and include a descriptive text file which describes the method and give references. These program executables are all free -- although I would appreciate feedback of any sort. Currently available: 1) RMTEST - Primality tester using Rabin-Miller algorithm (350 digit capability). 2) FACTOR1 - Complete factorization package using an ultra-fast trial division method. This is a "front-end" which removes all small factors (e.g., up to 10**9) and sets up outputs for subsequent programs. 3) FACTOR3 - Pollard rho method (200 digit capability) This will be followed later in March/April by: 4) FACTOR2 - Fermat method with sieving and composite multipliers (using Lehman's approach) 5) FACTOR4 - Williams p+1 method 6) FACTOR5 - Pollard p-1 method 7) FACTOR6 - ECM (Montgomery form w/ Brent seeding) 8) FACTOR7 - SQUFOF -type (continued fraction method) Implementations of a CFRAC-type, and of an MPQS algorithm are planned. Craig W. Schulenberg -- 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,start X-Google-Attributes: gid11516a,public X-Google-Thread: 1120ef,2f3cf7b749f36ae1,start X-Google-Attributes: gid1120ef,public X-Google-Thread: 102524,2f3cf7b749f36ae1,start X-Google-Attributes: gid102524,public X-Google-Thread: 10d67e,2f3cf7b749f36ae1,start X-Google-Attributes: gid10d67e,public X-Google-Thread: fb57f,2f3cf7b749f36ae1,start X-Google-Attributes: gidfb57f,public X-Google-Thread: 109d8a,2f3cf7b749f36ae1,start X-Google-Attributes: gid109d8a,public From: "Craig Schulenberg" <cschulen@schulenberg.com> Subject: Free, high-quality factorization software Date: 1998/03/08 Message-ID: <3502d5f8.0@news.ghgcorp.com> X-Deja-AN: 332160874 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